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23980992 = 263722549
BaseRepresentation
bin101101101111…
…0101111000000
31200010100201220
41123132233000
522114342432
62213555040
7410556300
oct133365700
950110656
1023980992
111259a302
128045a80
134c78449
143283600
15218a72c
hex16debc0

23980992 has 84 divisors (see below), whose sum is σ = 73837800. Its totient is φ = 6849024.

The previous prime is 23980987. The next prime is 23980993. The reversal of 23980992 is 29908932.

It is a tau number, because it is divible by the number of its divisors (84).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23980993) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 8134 + ... + 10682.

Almost surely, 223980992 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 23980992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36918900).

23980992 is an abundant number, since it is smaller than the sum of its proper divisors (49856808).

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

23980992 is a wasteful number, since it uses less digits than its factorization.

23980992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2578 (or 2561 counting only the distinct ones).

The product of its (nonzero) digits is 69984, while the sum is 42.

The square root of 23980992 is about 4897.0391054187. The cubic root of 23980992 is about 288.3737431715.

The spelling of 23980992 in words is "twenty-three million, nine hundred eighty thousand, nine hundred ninety-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 49 56 64 84 96 98 112 147 168 192 196 224 294 336 392 448 588 672 784 1176 1344 1568 2352 2549 3136 4704 5098 7647 9408 10196 15294 17843 20392 30588 35686 40784 53529 61176 71372 81568 107058 122352 124901 142744 163136 214116 244704 249802 285488 374703 428232 489408 499604 570976 749406 856464 999208 1141952 1498812 1712928 1998416 2997624 3425856 3996832 5995248 7993664 11990496 23980992