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23661600240 = 2435178955109
BaseRepresentation
bin10110000010010101…
…110101110111110000
32021002000110211111110
4112002111311313300
5341424332201430
614511530113320
71465233166155
oct260225656760
967060424443
1023661600240
11a0423a1523
12470427b840
1323011751b5
14120670c22c
159374497b0
hex582575df0

23661600240 has 80 divisors (see below), whose sum is σ = 73393293600. Its totient is φ = 6306118656.

The previous prime is 23661600217. The next prime is 23661600289. The reversal of 23661600240 is 4200616632.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 23661600198 and 23661600207.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 401806 + ... + 456914.

It is an arithmetic number, because the mean of its divisors is an integer number (917416170).

Almost surely, 223661600240 is an apocalyptic number.

23661600240 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

23661600240 is an abundant number, since it is smaller than the sum of its proper divisors (49731693360).

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

23661600240 is a wasteful number, since it uses less digits than its factorization.

23661600240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 56914 (or 56908 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 30.

The spelling of 23661600240 in words is "twenty-three billion, six hundred sixty-one million, six hundred thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 1789 3578 5367 7156 8945 10734 14312 17890 21468 26835 28624 35780 42936 53670 55109 71560 85872 107340 110218 143120 165327 214680 220436 275545 330654 429360 440872 551090 661308 826635 881744 1102180 1322616 1653270 2204360 2645232 3306540 4408720 6613080 13226160 98590001 197180002 295770003 394360004 492950005 591540006 788720008 985900010 1183080012 1478850015 1577440016 1971800020 2366160024 2957700030 3943600040 4732320048 5915400060 7887200080 11830800120 23661600240