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69090112 = 2671311863
BaseRepresentation
bin1000001111000…
…11101101000000
311211000010211001
410013203231000
5120141340422
610504501344
71466153620
oct407435500
9154003731
1069090112
1135aaa473
121b17a854
1311410630
149266880
1560eb227
hex41e3b40

69090112 has 56 divisors (see below), whose sum is σ = 168753536. Its totient is φ = 27330048.

The previous prime is 69090097. The next prime is 69090127. The reversal of 69090112 is 21109096.

It is an interprime number because it is at equal distance from previous prime (69090097) and next prime (69090127).

It is a tau number, because it is divible by the number of its divisors (56).

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 108 + ... + 11755.

It is an arithmetic number, because the mean of its divisors is an integer number (3013456).

Almost surely, 269090112 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 69090112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84376768).

69090112 is an abundant number, since it is smaller than the sum of its proper divisors (99663424).

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

69090112 is a wasteful number, since it uses less digits than its factorization.

69090112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11895 (or 11885 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 28.

The square root of 69090112 is about 8312.0461981392. The cubic root of 69090112 is about 410.3350661731.

The spelling of 69090112 in words is "sixty-nine million, ninety thousand, one hundred twelve".

Divisors: 1 2 4 7 8 13 14 16 26 28 32 52 56 64 91 104 112 182 208 224 364 416 448 728 832 1456 2912 5824 11863 23726 47452 83041 94904 154219 166082 189808 308438 332164 379616 616876 664328 759232 1079533 1233752 1328656 2159066 2467504 2657312 4318132 4935008 5314624 8636264 9870016 17272528 34545056 69090112