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1620226656 = 2532311731049
BaseRepresentation
bin110000010010010…
…1011001001100000
311011220202001010200
41200210223021200
511304234223111
6424435025200
755102461606
oct14044531140
94156661120
101620226656
117616372a4
1239273b200
131ca8983c9
1411527b876
1597397256
hex6092b260

1620226656 has 144 divisors (see below), whose sum is σ = 4788201600. Its totient is φ = 519137280.

The previous prime is 1620226631. The next prime is 1620226669. The reversal of 1620226656 is 6566220261.

1620226656 is a `hidden beast` number, since 1 + 620 + 2 + 26 + 6 + 5 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 1620226656.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1544020 + ... + 1545068.

It is an arithmetic number, because the mean of its divisors is an integer number (33251400).

Almost surely, 21620226656 is an apocalyptic number.

1620226656 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1620226656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2394100800).

1620226656 is an abundant number, since it is smaller than the sum of its proper divisors (3167974944).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1620226656 is a wasteful number, since it uses less digits than its factorization.

1620226656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1269 (or 1258 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The square root of 1620226656 is about 40252.0391533150. The cubic root of 1620226656 is about 1174.5150631445.

The spelling of 1620226656 in words is "one billion, six hundred twenty million, two hundred twenty-six thousand, six hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 31 32 36 48 62 72 93 96 124 144 173 186 248 279 288 346 372 496 519 558 692 744 992 1038 1049 1116 1384 1488 1557 2076 2098 2232 2768 2976 3114 3147 4152 4196 4464 5363 5536 6228 6294 8304 8392 8928 9441 10726 12456 12588 16089 16608 16784 18882 21452 24912 25176 32178 32519 33568 37764 42904 48267 49824 50352 64356 65038 75528 85808 96534 97557 100704 128712 130076 151056 171616 181477 193068 195114 257424 260152 292671 302112 362954 386136 390228 514848 520304 544431 585342 725908 772272 780456 1040608 1088862 1170684 1451816 1544544 1560912 1633293 2177724 2341368 2903632 3121824 3266586 4355448 4682736 5625787 5807264 6533172 8710896 9365472 11251574 13066344 16877361 17421792 22503148 26132688 33754722 45006296 50632083 52265376 67509444 90012592 101264166 135018888 180025184 202528332 270037776 405056664 540075552 810113328 1620226656