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23190960 = 2435137433
BaseRepresentation
bin101100001110…
…1110110110000
31121122020000110
41120131312300
521414102320
62145021320
7401056062
oct130356660
947566013
1023190960
11120aa791
127924840
134a5c980
143119732
1520815e0
hex161ddb0

23190960 has 80 divisors (see below), whose sum is σ = 77432544. Its totient is φ = 5707776.

The previous prime is 23190931. The next prime is 23190961. The reversal of 23190960 is 6909132.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (23190961) 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 15 ways as a sum of consecutive naturals, for example, 597 + ... + 6836.

Almost surely, 223190960 is an apocalyptic number.

23190960 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 23190960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38716272).

23190960 is an abundant number, since it is smaller than the sum of its proper divisors (54241584).

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

23190960 is a wasteful number, since it uses less digits than its factorization.

23190960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7462 (or 7456 counting only the distinct ones).

The product of its (nonzero) digits is 2916, while the sum is 30.

The square root of 23190960 is about 4815.6993261623. The cubic root of 23190960 is about 285.1715802767.

The spelling of 23190960 in words is "twenty-three million, one hundred ninety thousand, nine hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 16 20 24 26 30 39 40 48 52 60 65 78 80 104 120 130 156 195 208 240 260 312 390 520 624 780 1040 1560 3120 7433 14866 22299 29732 37165 44598 59464 74330 89196 96629 111495 118928 148660 178392 193258 222990 289887 297320 356784 386516 445980 483145 579774 594640 773032 891960 966290 1159548 1449435 1546064 1783920 1932580 2319096 2898870 3865160 4638192 5797740 7730320 11595480 23190960