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23985150 = 2352753431
BaseRepresentation
bin101101101111…
…1101111111110
31200010120102220
41123133233332
522120011100
62214030210
7410604360
oct133375776
950116386
1023985150
11125a2442
128048366
134c7a2c7
143284d30
15218baa0
hex16dfbfe

23985150 has 96 divisors (see below), whose sum is σ = 69424128. Its totient is φ = 5366400.

The previous prime is 23985133. The next prime is 23985151. The reversal of 23985150 is 5158932.

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 a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23985151) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 55435 + ... + 55865.

It is an arithmetic number, because the mean of its divisors is an integer number (723168).

Almost surely, 223985150 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 23985150, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34712064).

23985150 is an abundant number, since it is smaller than the sum of its proper divisors (45438978).

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

23985150 is a wasteful number, since it uses less digits than its factorization.

23985150 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 506 (or 501 counting only the distinct ones).

The product of its (nonzero) digits is 10800, while the sum is 33.

The square root of 23985150 is about 4897.4636292677. The cubic root of 23985150 is about 288.3904089921.

Subtracting from 23985150 its product of nonzero digits (10800), we obtain a triangular number (23974350 = T6924).

The spelling of 23985150 in words is "twenty-three million, nine hundred eighty-five thousand, one hundred fifty".

Divisors: 1 2 3 5 6 7 10 14 15 21 25 30 35 42 50 53 70 75 105 106 150 159 175 210 265 318 350 371 431 525 530 742 795 862 1050 1113 1293 1325 1590 1855 2155 2226 2586 2650 3017 3710 3975 4310 5565 6034 6465 7950 9051 9275 10775 11130 12930 15085 18102 18550 21550 22843 27825 30170 32325 45255 45686 55650 64650 68529 75425 90510 114215 137058 150850 159901 226275 228430 319802 342645 452550 479703 571075 685290 799505 959406 1142150 1599010 1713225 2398515 3426450 3997525 4797030 7995050 11992575 23985150