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23640480 = 2532516417
BaseRepresentation
bin101101000101…
…1100110100000
31122111001122100
41122023212200
522022443410
62202410400
7404640453
oct132134640
948431570
1023640480
1112387496
127b00a00
134b89466
1431d549a
15211e8c0
hex168b9a0

23640480 has 72 divisors (see below), whose sum is σ = 80678052. Its totient is φ = 6303744.

The previous prime is 23640479. The next prime is 23640493. The reversal of 23640480 is 8404632.

It can be written as a sum of positive squares in 2 ways, for example, as 22695696 + 944784 = 4764^2 + 972^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6769 + ... + 9648.

Almost surely, 223640480 is an apocalyptic number.

23640480 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

23640480 is an abundant number, since it is smaller than the sum of its proper divisors (57037572).

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

23640480 is a wasteful number, since it uses less digits than its factorization.

23640480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16438 (or 16427 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The square root of 23640480 is about 4862.1476736109. The cubic root of 23640480 is about 287.0023350019.

The spelling of 23640480 in words is "twenty-three million, six hundred forty thousand, four hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 72 80 90 96 120 144 160 180 240 288 360 480 720 1440 16417 32834 49251 65668 82085 98502 131336 147753 164170 197004 246255 262672 295506 328340 394008 492510 525344 591012 656680 738765 788016 985020 1182024 1313360 1477530 1576032 1970040 2364048 2626720 2955060 3940080 4728096 5910120 7880160 11820240 23640480