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69420096 = 2632191631
BaseRepresentation
bin1000010001101…
…00010001000000
311211121220110200
410020310101000
5120232420341
610515525200
71502026644
oct410642100
9154556420
1069420096
1136205389
121b2b9800
13114c78a5
149310c24
156163db6
hex4234440

69420096 has 84 divisors (see below), whose sum is σ = 200338944. Its totient is φ = 22982400.

The previous prime is 69420083. The next prime is 69420097. The reversal of 69420096 is 69002496.

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

It is a self number, because there is not a number n which added to its sum of digits gives 69420096.

It is not an unprimeable number, because it can be changed into a prime (69420097) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 109701 + ... + 110331.

Almost surely, 269420096 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 69420096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100169472).

69420096 is an abundant number, since it is smaller than the sum of its proper divisors (130918848).

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

69420096 is a wasteful number, since it uses less digits than its factorization.

69420096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 840 (or 827 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 36.

The square root of 69420096 is about 8331.8722985893. The cubic root of 69420096 is about 410.9873013641.

The spelling of 69420096 in words is "sixty-nine million, four hundred twenty thousand, ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 144 191 192 288 382 573 576 631 764 1146 1262 1528 1719 1893 2292 2524 3056 3438 3786 4584 5048 5679 6112 6876 7572 9168 10096 11358 12224 13752 15144 18336 20192 22716 27504 30288 36672 40384 45432 55008 60576 90864 110016 120521 121152 181728 241042 361563 363456 482084 723126 964168 1084689 1446252 1928336 2169378 2892504 3856672 4338756 5785008 7713344 8677512 11570016 17355024 23140032 34710048 69420096