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61872640 = 29524169
BaseRepresentation
bin1110110000000…
…1101000000000
311022102110022021
43230001220000
5111314411030
610050051224
71350623464
oct354015000
9138373267
1061872640
1131a1a915
1218879b14
13ca8443b
1483084a4
15567297a
hex3b01a00

61872640 has 40 divisors (see below), whose sum is σ = 148355460. Its totient is φ = 24748032.

The previous prime is 61872619. The next prime is 61872719. The reversal of 61872640 is 4627816.

It can be written as a sum of positive squares in 2 ways, for example, as 58247424 + 3625216 = 7632^2 + 1904^2 .

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

It is a junction number, because it is equal to n+sod(n) for n = 61872596 and 61872605.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 9525 + ... + 14644.

Almost surely, 261872640 is an apocalyptic number.

It is an amenable number.

61872640 is an abundant number, since it is smaller than the sum of its proper divisors (86482820).

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

61872640 is an equidigital number, since it uses as much as digits as its factorization.

61872640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24192 (or 24176 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 34.

The square root of 61872640 is about 7865.9163483983. The cubic root of 61872640 is about 395.5179660072.

The spelling of 61872640 in words is "sixty-one million, eight hundred seventy-two thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 256 320 512 640 1280 2560 24169 48338 96676 120845 193352 241690 386704 483380 773408 966760 1546816 1933520 3093632 3867040 6187264 7734080 12374528 15468160 30936320 61872640