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40630960 = 2451313877
BaseRepresentation
bin1001101011111…
…1101010110000
32211110021012101
42122333222300
540400142320
64010510144
71002233416
oct232775260
984407171
1040630960
1120a31707
1211735354
138557ab6
1455792b6
153878c0a
hex26bfab0

40630960 has 40 divisors (see below), whose sum is σ = 95212656. Its totient is φ = 16124160.

The previous prime is 40630927. The next prime is 40630963. The reversal of 40630960 is 6903604.

It is a tau number, because it is divible by the number of its divisors (40).

It is not an unprimeable number, because it can be changed into a prime (40630963) 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, 8542 + ... + 12418.

Almost surely, 240630960 is an apocalyptic number.

40630960 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40630960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47606328).

40630960 is an abundant number, since it is smaller than the sum of its proper divisors (54581696).

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

40630960 is a wasteful number, since it uses less digits than its factorization.

40630960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4021 (or 4015 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 28.

The square root of 40630960 is about 6374.2419157104. The cubic root of 40630960 is about 343.7840270449.

The spelling of 40630960 in words is "forty million, six hundred thirty thousand, nine hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 40 80 131 262 524 655 1048 1310 2096 2620 3877 5240 7754 10480 15508 19385 31016 38770 62032 77540 155080 310160 507887 1015774 2031548 2539435 4063096 5078870 8126192 10157740 20315480 40630960