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104729904 = 24322931809
BaseRepresentation
bin1100011111000…
…00110100110000
321022001211102100
412033200310300
5203302324104
614220420400
72411121666
oct617406460
9238054370
10104729904
1154132144
122b0a7700
131890b676
14dca2c36
1592db139
hex63e0d30

104729904 has 120 divisors (see below), whose sum is σ = 313372800. Its totient is φ = 32578560.

The previous prime is 104729893. The next prime is 104729909. The reversal of 104729904 is 409927401.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (104729909) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 129052 + ... + 129860.

It is an arithmetic number, because the mean of its divisors is an integer number (2611440).

Almost surely, 2104729904 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 104729904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156686400).

104729904 is an abundant number, since it is smaller than the sum of its proper divisors (208642896).

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

104729904 is a wasteful number, since it uses less digits than its factorization.

104729904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 883 (or 874 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The square root of 104729904 is about 10233.7629442938. The cubic root of 104729904 is about 471.3645331354.

The spelling of 104729904 in words is "one hundred four million, seven hundred twenty-nine thousand, nine hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 29 31 36 48 58 62 72 87 93 116 124 144 174 186 232 248 261 279 348 372 464 496 522 558 696 744 809 899 1044 1116 1392 1488 1618 1798 2088 2232 2427 2697 3236 3596 4176 4464 4854 5394 6472 7192 7281 8091 9708 10788 12944 14384 14562 16182 19416 21576 23461 25079 29124 32364 38832 43152 46922 50158 58248 64728 70383 75237 93844 100316 116496 129456 140766 150474 187688 200632 211149 225711 281532 300948 375376 401264 422298 451422 563064 601896 727291 844596 902844 1126128 1203792 1454582 1689192 1805688 2181873 2909164 3378384 3611376 4363746 5818328 6545619 8727492 11636656 13091238 17454984 26182476 34909968 52364952 104729904