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64241920 = 285311619
BaseRepresentation
bin1111010100010…
…0000100000000
311110212211100101
43311010010000
5112421220140
610212532144
71410022141
oct365040400
9143784311
1064241920
11332989a6
1219621054
1310403992
148763ac8
15598e99a
hex3d44100

64241920 has 72 divisors (see below), whose sum is σ = 158941440. Its totient is φ = 24852480.

The previous prime is 64241909. The next prime is 64241923. The reversal of 64241920 is 2914246.

It is a hoax number, since the sum of its digits (28) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (64241923) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 38871 + ... + 40489.

It is an arithmetic number, because the mean of its divisors is an integer number (2207520).

Almost surely, 264241920 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 64241920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79470720).

64241920 is an abundant number, since it is smaller than the sum of its proper divisors (94699520).

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

64241920 is a wasteful number, since it uses less digits than its factorization.

64241920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1671 (or 1657 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 28.

The square root of 64241920 is about 8015.1057385414. The cubic root of 64241920 is about 400.5033662902.

The spelling of 64241920 in words is "sixty-four million, two hundred forty-one thousand, nine hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 31 32 40 62 64 80 124 128 155 160 248 256 310 320 496 620 640 992 1240 1280 1619 1984 2480 3238 3968 4960 6476 7936 8095 9920 12952 16190 19840 25904 32380 39680 50189 51808 64760 100378 103616 129520 200756 207232 250945 259040 401512 414464 501890 518080 803024 1003780 1036160 1606048 2007560 2072320 3212096 4015120 6424192 8030240 12848384 16060480 32120960 64241920