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1620066096 = 243411210331
BaseRepresentation
bin110000010010000…
…0011111100110000
311011220102212220000
41200210003330300
511304214103341
6424431350000
755101222525
oct14044037460
94156385800
101620066096
11761537700
12392682300
131ca8402bc
1411523914c
15973648b6
hex60903f30

1620066096 has 150 divisors (see below), whose sum is σ = 5154459156. Its totient is φ = 490881600.

The previous prime is 1620066089. The next prime is 1620066101. The reversal of 1620066096 is 6906600261.

It is a happy number.

It is a super-2 number, since 2×16200660962 = 5249228310817362432, which contains 22 as substring.

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 1620066096.

It is an unprimeable number.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 151651 + ... + 161981.

Almost surely, 21620066096 is an apocalyptic number.

1620066096 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 1620066096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2577229578).

1620066096 is an abundant number, since it is smaller than the sum of its proper divisors (3534393060).

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

1620066096 is a wasteful number, since it uses less digits than its factorization.

1620066096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10373 (or 10347 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 36.

The square root of 1620066096 is about 40250.0446707827. The cubic root of 1620066096 is about 1174.4762647934.

The spelling of 1620066096 in words is "one billion, six hundred twenty million, sixty-six thousand, ninety-six".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 27 33 36 44 48 54 66 72 81 88 99 108 121 132 144 162 176 198 216 242 264 297 324 363 396 432 484 528 594 648 726 792 891 968 1089 1188 1296 1452 1584 1782 1936 2178 2376 2904 3267 3564 4356 4752 5808 6534 7128 8712 9801 10331 13068 14256 17424 19602 20662 26136 30993 39204 41324 52272 61986 78408 82648 92979 113641 123972 156816 165296 185958 227282 247944 278937 340923 371916 454564 495888 557874 681846 743832 836811 909128 1022769 1115748 1250051 1363692 1487664 1673622 1818256 2045538 2231496 2500102 2727384 3068307 3347244 3750153 4091076 4462992 5000204 5454768 6136614 6694488 7500306 8182152 9204921 10000408 11250459 12273228 13388976 15000612 16364304 18409842 20000816 22500918 24546456 30001224 33751377 36819684 45001836 49092912 60002448 67502754 73639368 90003672 101254131 135005508 147278736 180007344 202508262 270011016 405016524 540022032 810033048 1620066096