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64389920 = 2557243191
BaseRepresentation
bin1111010110100…
…0001100100000
311111011100100212
43311220030200
5112440434140
610220033252
71411206500
oct365501440
9144140325
1064389920
113338a111
1219692828
131045615a
1487a1a00
1559bd765
hex3d68320

64389920 has 144 divisors (see below), whose sum is σ = 182020608. Its totient is φ = 21450240.

The previous prime is 64389911. The next prime is 64389959. The reversal of 64389920 is 2998346.

It is a happy 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 23 ways as a sum of consecutive naturals, for example, 337025 + ... + 337215.

It is an arithmetic number, because the mean of its divisors is an integer number (1264032).

Almost surely, 264389920 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 64389920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91010304).

64389920 is an abundant number, since it is smaller than the sum of its proper divisors (117630688).

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

64389920 is a wasteful number, since it uses less digits than its factorization.

64389920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 263 (or 248 counting only the distinct ones).

The product of its (nonzero) digits is 93312, while the sum is 41.

The square root of 64389920 is about 8024.3329940874. The cubic root of 64389920 is about 400.8106891810.

The spelling of 64389920 in words is "sixty-four million, three hundred eighty-nine thousand, nine hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 43 49 56 70 80 86 98 112 140 160 172 191 196 215 224 245 280 301 344 382 392 430 490 560 602 688 764 784 860 955 980 1120 1204 1337 1376 1505 1528 1568 1720 1910 1960 2107 2408 2674 3010 3056 3440 3820 3920 4214 4816 5348 6020 6112 6685 6880 7640 7840 8213 8428 9359 9632 10535 10696 12040 13370 15280 16426 16856 18718 21070 21392 24080 26740 30560 32852 33712 37436 41065 42140 42784 46795 48160 53480 57491 65704 67424 74872 82130 84280 93590 106960 114982 131408 149744 164260 168560 187180 213920 229964 262816 287455 299488 328520 337120 374360 402437 459928 574910 657040 748720 804874 919856 1149820 1314080 1497440 1609748 1839712 2012185 2299640 3219496 4024370 4599280 6438992 8048740 9198560 12877984 16097480 32194960 64389920