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64613920 = 2557311861
BaseRepresentation
bin1111011001111…
…0111000100000
311111120201122011
43312132320200
5113020121140
610224522304
71413131530
oct366367040
9144521564
1064613920
1133522438
1219780394
13105040b7
14881d4c0
155a14cea
hex3d9ee20

64613920 has 96 divisors (see below), whose sum is σ = 180182016. Its totient is φ = 21427200.

The previous prime is 64613881. The next prime is 64613921. The reversal of 64613920 is 2931646.

It is a Harshad number since it is a multiple of its sum of digits (31).

It is not an unprimeable number, because it can be changed into a prime (64613921) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 33790 + ... + 35650.

It is an arithmetic number, because the mean of its divisors is an integer number (1876896).

Almost surely, 264613920 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 64613920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90091008).

64613920 is an abundant number, since it is smaller than the sum of its proper divisors (115568096).

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

64613920 is a wasteful number, since it uses less digits than its factorization.

64613920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1914 (or 1906 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 31.

The square root of 64613920 is about 8038.2784226475. The cubic root of 64613920 is about 401.2749320533.

The spelling of 64613920 in words is "sixty-four million, six hundred thirteen thousand, nine hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 31 32 35 40 56 62 70 80 112 124 140 155 160 217 224 248 280 310 434 496 560 620 868 992 1085 1120 1240 1736 1861 2170 2480 3472 3722 4340 4960 6944 7444 8680 9305 13027 14888 17360 18610 26054 29776 34720 37220 52108 57691 59552 65135 74440 104216 115382 130270 148880 208432 230764 260540 288455 297760 403837 416864 461528 521080 576910 807674 923056 1042160 1153820 1615348 1846112 2019185 2084320 2307640 3230696 4038370 4615280 6461392 8076740 9230560 12922784 16153480 32306960 64613920