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69716016 = 24321983307
BaseRepresentation
bin1000010011111…
…00100000110000
311212011221101200
410021330200300
5120321403031
610530131200
71504401456
oct411744060
9155157350
1069716016
1136397747
121b420b00
131159c4a6
14938a9d6
1561c18e6
hex427c830

69716016 has 120 divisors (see below), whose sum is σ = 208528320. Its totient is φ = 21679488.

The previous prime is 69715969. The next prime is 69716027. The reversal of 69716016 is 61061796.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

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, 226935 + ... + 227241.

It is an arithmetic number, because the mean of its divisors is an integer number (1737736).

Almost surely, 269716016 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 69716016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104264160).

69716016 is an abundant number, since it is smaller than the sum of its proper divisors (138812304).

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

69716016 is a wasteful number, since it uses less digits than its factorization.

69716016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 423 (or 414 counting only the distinct ones).

The product of its (nonzero) digits is 13608, while the sum is 36.

The square root of 69716016 is about 8349.6117274997. The cubic root of 69716016 is about 411.5704512329.

The spelling of 69716016 in words is "sixty-nine million, seven hundred sixteen thousand, sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 19 24 36 38 48 57 72 76 83 114 144 152 166 171 228 249 304 307 332 342 456 498 614 664 684 747 912 921 996 1228 1328 1368 1494 1577 1842 1992 2456 2736 2763 2988 3154 3684 3984 4731 4912 5526 5833 5976 6308 7368 9462 11052 11666 11952 12616 14193 14736 17499 18924 22104 23332 25232 25481 28386 34998 37848 44208 46664 50962 52497 56772 69996 75696 76443 93328 101924 104994 113544 139992 152886 203848 209988 227088 229329 279984 305772 407696 419976 458658 484139 611544 839952 917316 968278 1223088 1452417 1834632 1936556 2904834 3669264 3873112 4357251 5809668 7746224 8714502 11619336 17429004 23238672 34858008 69716016