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1402904064 = 2931953907
BaseRepresentation
bin101001110011110…
…1001111000000000
310121202210220120210
41103213221320000
510333120412224
6351113034120
746523326212
oct12347517000
93552726523
101402904064
1165a9a2651
123319b5940
13194857563
14d446a5b2
158326a429
hex539e9e00

1402904064 has 160 divisors (see below), whose sum is σ = 4012778880. Its totient is φ = 434184192.

The previous prime is 1402904053. The next prime is 1402904077. The reversal of 1402904064 is 4604092041.

It is a super-3 number, since 3×14029040643 (a number of 28 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1546299 + ... + 1547205.

It is an arithmetic number, because the mean of its divisors is an integer number (25079868).

Almost surely, 21402904064 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1402904064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2006389440).

1402904064 is an abundant number, since it is smaller than the sum of its proper divisors (2609874816).

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

1402904064 is an equidigital number, since it uses as much as digits as its factorization.

1402904064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1000 (or 984 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 30.

The square root of 1402904064 is about 37455.3609514045. The cubic root of 1402904064 is about 1119.4619184016.

The spelling of 1402904064 in words is "one billion, four hundred two million, nine hundred four thousand, sixty-four".

Divisors: 1 2 3 4 6 8 12 16 19 24 32 38 48 53 57 64 76 96 106 114 128 152 159 192 212 228 256 304 318 384 424 456 512 608 636 768 848 907 912 1007 1216 1272 1536 1696 1814 1824 2014 2432 2544 2721 3021 3392 3628 3648 4028 4864 5088 5442 6042 6784 7256 7296 8056 9728 10176 10884 12084 13568 14512 14592 16112 17233 20352 21768 24168 27136 29024 29184 32224 34466 40704 43536 48071 48336 51699 58048 64448 68932 81408 87072 96142 96672 103398 116096 128896 137864 144213 174144 192284 193344 206796 232192 257792 275728 288426 348288 384568 386688 413592 464384 515584 551456 576852 696576 769136 773376 827184 913349 1102912 1153704 1393152 1538272 1546752 1654368 1826698 2205824 2307408 2740047 3076544 3308736 3653396 4411648 4614816 5480094 6153088 6617472 7306792 8823296 9229632 10960188 12306176 13234944 14613584 18459264 21920376 24612352 26469888 29227168 36918528 43840752 58454336 73837056 87681504 116908672 175363008 233817344 350726016 467634688 701452032 1402904064