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641920 = 2751759
BaseRepresentation
bin10011100101110000000
31012121112211
42130232000
5131020140
621431504
75312326
oct2345600
91177484
10641920
113a9314
1226b594
13196246
14129d16
15ca2ea
hex9cb80

641920 has 64 divisors (see below), whose sum is σ = 1652400. Its totient is φ = 237568.

The previous prime is 641909. The next prime is 641923. The reversal of 641920 is 29146.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×6419202 = 824122572800, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 641891 and 641900.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (641923) by changing a digit.

641920 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 10851 + ... + 10909.

2641920 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 641920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (826200).

641920 is an abundant number, since it is smaller than the sum of its proper divisors (1010480).

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

641920 is a wasteful number, since it uses less digits than its factorization.

641920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 95 (or 83 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 22.

The square root of 641920 is about 801.1991013475. The cubic root of 641920 is about 86.2634789548.

The spelling of 641920 in words is "six hundred forty-one thousand, nine hundred twenty".

Divisors: 1 2 4 5 8 10 16 17 20 32 34 40 59 64 68 80 85 118 128 136 160 170 236 272 295 320 340 472 544 590 640 680 944 1003 1088 1180 1360 1888 2006 2176 2360 2720 3776 4012 4720 5015 5440 7552 8024 9440 10030 10880 16048 18880 20060 32096 37760 40120 64192 80240 128384 160480 320960 641920