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23972080 = 2451127241
BaseRepresentation
bin101101101110…
…0100011110000
31200002220111211
41123130203300
522114101310
62213445504
7410521306
oct133344360
950086454
1023972080
1112593640
128040894
134c74382
143280276
152187c8a
hex16dc8f0

23972080 has 40 divisors (see below), whose sum is σ = 60804144. Its totient is φ = 8716800.

The previous prime is 23972077. The next prime is 23972089. The reversal of 23972080 is 8027932.

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

It is a Smith number, since the sum of its digits (31) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23972089) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 12741 + ... + 14500.

Almost surely, 223972080 is an apocalyptic number.

23972080 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

23972080 is an abundant number, since it is smaller than the sum of its proper divisors (36832064).

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

23972080 is a wasteful number, since it uses less digits than its factorization.

23972080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27265 (or 27259 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 31.

The square root of 23972080 is about 4896.1290832657. The cubic root of 23972080 is about 288.3380161921.

The spelling of 23972080 in words is "twenty-three million, nine hundred seventy-two thousand, eighty".

Divisors: 1 2 4 5 8 10 11 16 20 22 40 44 55 80 88 110 176 220 440 880 27241 54482 108964 136205 217928 272410 299651 435856 544820 599302 1089640 1198604 1498255 2179280 2397208 2996510 4794416 5993020 11986040 23972080