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23146240 = 285132107
BaseRepresentation
bin101100001001…
…0111100000000
31121112221200011
41120102330000
521411134430
62144034304
7400511515
oct130227400
947487604
1023146240
111207a127
127902994
134a45500
14310730c
15207322a
hex1612f00

23146240 has 108 divisors (see below), whose sum is σ = 60596424. Its totient is φ = 8466432.

The previous prime is 23146229. The next prime is 23146247. The reversal of 23146240 is 4264132.

It is a happy number.

It is a super-2 number, since 2×231462402 = 1071496852275200, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23146247) 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, 216267 + ... + 216373.

It is an arithmetic number, because the mean of its divisors is an integer number (561078).

Almost surely, 223146240 is an apocalyptic number.

23146240 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 23146240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30298212).

23146240 is an abundant number, since it is smaller than the sum of its proper divisors (37450184).

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

23146240 is a wasteful number, since it uses less digits than its factorization.

23146240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 154 (or 127 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 22.

The square root of 23146240 is about 4811.0539385877. The cubic root of 23146240 is about 284.9881599678.

The spelling of 23146240 in words is "twenty-three million, one hundred forty-six thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 13 16 20 26 32 40 52 64 65 80 104 107 128 130 160 169 208 214 256 260 320 338 416 428 520 535 640 676 832 845 856 1040 1070 1280 1352 1391 1664 1690 1712 2080 2140 2704 2782 3328 3380 3424 4160 4280 5408 5564 6760 6848 6955 8320 8560 10816 11128 13520 13696 13910 16640 17120 18083 21632 22256 27040 27392 27820 34240 36166 43264 44512 54080 55640 68480 72332 89024 90415 108160 111280 136960 144664 178048 180830 216320 222560 289328 356096 361660 445120 578656 723320 890240 1157312 1446640 1780480 2314624 2893280 4629248 5786560 11573120 23146240