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2704928004 = 22321721120947
BaseRepresentation
bin1010000100111001…
…1110110100000100
320222111210120122200
42201032132310010
521014430144004
61124223554500
7124013336322
oct24116366404
96874716580
102704928004
111168952499
12635a5ba30
1334152081c
141b9356d12
1510c70a239
hexa139ed04

2704928004 has 72 divisors (see below), whose sum is σ = 7274318688. Its totient is φ = 844542720.

The previous prime is 2704927963. The next prime is 2704928069. The reversal of 2704928004 is 4008294072.

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 2704928004.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 118659 + ... + 139605.

It is an arithmetic number, because the mean of its divisors is an integer number (101032204).

Almost surely, 22704928004 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 2704928004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3637159344).

2704928004 is an abundant number, since it is smaller than the sum of its proper divisors (4569390684).

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

2704928004 is a wasteful number, since it uses less digits than its factorization.

2704928004 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21185 (or 21180 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 2704928004 is about 52008.9223499199. The cubic root of 2704928004 is about 1393.3233117925.

The spelling of 2704928004 in words is "two billion, seven hundred four million, nine hundred twenty-eight thousand, four".

Divisors: 1 2 3 4 6 9 12 17 18 34 36 51 68 102 153 204 211 306 422 612 633 844 1266 1899 2532 3587 3798 7174 7596 10761 14348 20947 21522 32283 41894 43044 62841 64566 83788 125682 129132 188523 251364 356099 377046 712198 754092 1068297 1424396 2136594 3204891 4273188 4419817 6409782 8839634 12819564 13259451 17679268 26518902 39778353 53037804 75136889 79556706 150273778 159113412 225410667 300547556 450821334 676232001 901642668 1352464002 2704928004