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1420474104 = 233373725391
BaseRepresentation
bin101010010101010…
…1011011011111000
310122222212120011000
41110222223123320
510402120132404
6352541405000
750125554630
oct12452533370
93588776130
101420474104
11669903245
12337869760
1319839992a
14d69216c0
1584a8b339
hex54aab6f8

1420474104 has 128 divisors (see below), whose sum is σ = 4631500800. Its totient is φ = 394865280.

The previous prime is 1420474079. The next prime is 1420474123. The reversal of 1420474104 is 4014740241.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 43249 + ... + 68639.

It is an arithmetic number, because the mean of its divisors is an integer number (36183600).

Almost surely, 21420474104 is an apocalyptic number.

1420474104 is a gapful number since it is divisible by the number (14) 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 1420474104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2315750400).

1420474104 is an abundant number, since it is smaller than the sum of its proper divisors (3211026696).

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

1420474104 is a wasteful number, since it uses less digits than its factorization.

1420474104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25450 (or 25440 counting only the distinct ones).

The product of its (nonzero) digits is 3584, while the sum is 27.

The square root of 1420474104 is about 37689.1775447541. The cubic root of 1420474104 is about 1124.1159419076.

The spelling of 1420474104 in words is "one billion, four hundred twenty million, four hundred seventy-four thousand, one hundred four".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 27 28 36 37 42 54 56 63 72 74 84 108 111 126 148 168 189 216 222 252 259 296 333 378 444 504 518 666 756 777 888 999 1036 1332 1512 1554 1998 2072 2331 2664 3108 3996 4662 6216 6993 7992 9324 13986 18648 25391 27972 50782 55944 76173 101564 152346 177737 203128 228519 304692 355474 457038 533211 609384 685557 710948 914076 939467 1066422 1371114 1421896 1599633 1828152 1878934 2132844 2742228 2818401 3199266 3757868 4265688 4798899 5484456 5636802 6398532 6576269 7515736 8455203 9597798 11273604 12797064 13152538 16910406 19195596 19728807 22547208 25365609 26305076 33820812 38391192 39457614 50731218 52610152 59186421 67641624 78915228 101462436 118372842 157830456 177559263 202924872 236745684 355118526 473491368 710237052 1420474104