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68904432 = 243479673
BaseRepresentation
bin1000001101101…
…10010111110000
311210122201010000
410012312113300
5120114420212
610500510000
71464451362
oct406662760
9153581100
1068904432
1135992a13
121b0ab300
1311376c6c
149218d32
1560b11dc
hex41b65f0

68904432 has 100 divisors (see below), whose sum is σ = 202253920. Its totient is φ = 22643712.

The previous prime is 68904427. The next prime is 68904457. The reversal of 68904432 is 23440986.

It is a happy number.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 102048 + ... + 102720.

Almost surely, 268904432 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 68904432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101126960).

68904432 is an abundant number, since it is smaller than the sum of its proper divisors (133349488).

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

68904432 is a wasteful number, since it uses less digits than its factorization.

68904432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 772 (or 757 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The square root of 68904432 is about 8300.8693520619. The cubic root of 68904432 is about 409.9671439068.

The spelling of 68904432 in words is "sixty-eight million, nine hundred four thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 79 81 108 144 158 162 216 237 316 324 432 474 632 648 673 711 948 1264 1296 1346 1422 1896 2019 2133 2692 2844 3792 4038 4266 5384 5688 6057 6399 8076 8532 10768 11376 12114 12798 16152 17064 18171 24228 25596 32304 34128 36342 48456 51192 53167 54513 72684 96912 102384 106334 109026 145368 159501 212668 218052 290736 319002 425336 436104 478503 638004 850672 872208 957006 1276008 1435509 1914012 2552016 2871018 3828024 4306527 5742036 7656048 8613054 11484072 17226108 22968144 34452216 68904432