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104564430 = 23252940063
BaseRepresentation
bin1100011101110…
…00011011001110
321021202102102200
412032320123032
5203232030210
614213102330
72406532365
oct616703316
9237672380
10104564430
1154029893
122b0279a6
1318881259
14dc5c7dc
1592a70c0
hex63b86ce

104564430 has 48 divisors (see below), whose sum is σ = 281249280. Its totient is φ = 26921664.

The previous prime is 104564419. The next prime is 104564443. The reversal of 104564430 is 34465401.

104564430 is a `hidden beast` number, since 10 + 4 + 5 + 644 + 3 + 0 = 666.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 104564394 and 104564403.

It is a congruent number.

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, 17422 + ... + 22641.

It is an arithmetic number, because the mean of its divisors is an integer number (5859360).

Almost surely, 2104564430 is an apocalyptic number.

104564430 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

104564430 is an abundant number, since it is smaller than the sum of its proper divisors (176684850).

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

104564430 is a wasteful number, since it uses less digits than its factorization.

104564430 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40105 (or 40102 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The square root of 104564430 is about 10225.6750388422. The cubic root of 104564430 is about 471.1161491581.

The spelling of 104564430 in words is "one hundred four million, five hundred sixty-four thousand, four hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 29 30 45 58 87 90 145 174 261 290 435 522 870 1305 2610 40063 80126 120189 200315 240378 360567 400630 600945 721134 1161827 1201890 1802835 2323654 3485481 3605670 5809135 6970962 10456443 11618270 17427405 20912886 34854810 52282215 104564430