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23997120 = 263573571
BaseRepresentation
bin101101110001…
…0101011000000
31200011011212020
41123202223000
522120401440
62214201440
7410654310
oct133425300
950134766
1023997120
1112600434
128053280
134c828a4
143289440
1521903d0
hex16e2ac0

23997120 has 112 divisors (see below), whose sum is σ = 87099648. Its totient is φ = 5483520.

The previous prime is 23997109. The next prime is 23997151. The reversal of 23997120 is 2179932.

It is a tau number, because it is divible by the number of its divisors (112).

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

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 15 ways as a sum of consecutive naturals, for example, 4935 + ... + 8505.

Almost surely, 223997120 is an apocalyptic number.

23997120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 23997120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43549824).

23997120 is an abundant number, since it is smaller than the sum of its proper divisors (63102528).

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

23997120 is a wasteful number, since it uses less digits than its factorization.

23997120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3598 (or 3588 counting only the distinct ones).

The product of its (nonzero) digits is 6804, while the sum is 33.

The square root of 23997120 is about 4898.6855379785. The cubic root of 23997120 is about 288.4383756034.

The spelling of 23997120 in words is "twenty-three million, nine hundred ninety-seven thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 28 30 32 35 40 42 48 56 60 64 70 80 84 96 105 112 120 140 160 168 192 210 224 240 280 320 336 420 448 480 560 672 840 960 1120 1344 1680 2240 3360 3571 6720 7142 10713 14284 17855 21426 24997 28568 35710 42852 49994 53565 57136 71420 74991 85704 99988 107130 114272 124985 142840 149982 171408 199976 214260 228544 249970 285680 299964 342816 374955 399952 428520 499940 571360 599928 685632 749910 799904 857040 999880 1142720 1199856 1499820 1599808 1714080 1999760 2399712 2999640 3428160 3999520 4799424 5999280 7999040 11998560 23997120