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104723264 = 2617101953
BaseRepresentation
bin1100011110111…
…11001101000000
321022001111022102
412033133031000
5203302121024
614220325532
72411063432
oct617371500
9238044272
10104723264
1154128158
122b0a38a8
1318908639
14dca0652
1592d91ae
hex63df340

104723264 has 56 divisors (see below), whose sum is σ = 222446088. Its totient is φ = 48742400.

The previous prime is 104723257. The next prime is 104723287. The reversal of 104723264 is 462327401.

It can be written as a sum of positive squares in 4 ways, for example, as 52998400 + 51724864 = 7280^2 + 7192^2 .

It is a hoax number, since the sum of its digits (29) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 109412 + ... + 110364.

Almost surely, 2104723264 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 104723264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111223044).

104723264 is an abundant number, since it is smaller than the sum of its proper divisors (117722824).

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

104723264 is a wasteful number, since it uses less digits than its factorization.

104723264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1083 (or 1073 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 29.

The square root of 104723264 is about 10233.4385228036. The cubic root of 104723264 is about 471.3545712349.

It can be divided in two parts, 10 and 4723264, that added together give a palindrome (4723274).

The spelling of 104723264 in words is "one hundred four million, seven hundred twenty-three thousand, two hundred sixty-four".

Divisors: 1 2 4 8 16 17 32 34 64 68 101 136 202 272 404 544 808 953 1088 1616 1717 1906 3232 3434 3812 6464 6868 7624 13736 15248 16201 27472 30496 32402 54944 60992 64804 96253 109888 129608 192506 259216 385012 518432 770024 1036864 1540048 1636301 3080096 3272602 6160192 6545204 13090408 26180816 52361632 104723264