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69904016 = 24713411171
BaseRepresentation
bin1000010101010…
…10011010010000
311212112111021122
410022222122100
5120343412031
610534141412
71506113540
oct412523220
9155474248
1069904016
1136505a16
121b4b1868
1311636c30
1493d9320
15620c47b
hex42aa690

69904016 has 80 divisors (see below), whose sum is σ = 170905728. Its totient is φ = 26956800.

The previous prime is 69903991. The next prime is 69904027. The reversal of 69904016 is 61040996.

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, 59111 + ... + 60281.

Almost surely, 269904016 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 69904016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85452864).

69904016 is an abundant number, since it is smaller than the sum of its proper divisors (101001712).

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

69904016 is a wasteful number, since it uses less digits than its factorization.

69904016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1240 (or 1234 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 35.

The square root of 69904016 is about 8360.8621565004. The cubic root of 69904016 is about 411.9400736040.

The spelling of 69904016 in words is "sixty-nine million, nine hundred four thousand, sixteen".

Divisors: 1 2 4 7 8 13 14 16 26 28 41 52 56 82 91 104 112 164 182 208 287 328 364 533 574 656 728 1066 1148 1171 1456 2132 2296 2342 3731 4264 4592 4684 7462 8197 8528 9368 14924 15223 16394 18736 29848 30446 32788 48011 59696 60892 65576 96022 106561 121784 131152 192044 213122 243568 336077 384088 426244 624143 672154 768176 852488 1248286 1344308 1704976 2496572 2688616 4369001 4993144 5377232 8738002 9986288 17476004 34952008 69904016