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23196960 = 2532589181
BaseRepresentation
bin101100001111…
…1010100100000
31121122112020200
41120133110200
521414300320
62145105200
7401112423
oct130372440
947575220
1023196960
1112104246
127928200
134a62617
14311b9ba
152083290
hex161f520

23196960 has 144 divisors (see below), whose sum is σ = 80491320. Its totient is φ = 6082560.

The previous prime is 23196937. The next prime is 23196961. The reversal of 23196960 is 6969132.

It can be written as a sum of positive squares in 4 ways, for example, as 7420176 + 15776784 = 2724^2 + 3972^2 .

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (23196961) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 128070 + ... + 128250.

Almost surely, 223196960 is an apocalyptic number.

23196960 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 23196960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40245660).

23196960 is an abundant number, since it is smaller than the sum of its proper divisors (57294360).

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

23196960 is a wasteful number, since it uses less digits than its factorization.

23196960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 291 (or 280 counting only the distinct ones).

The product of its (nonzero) digits is 17496, while the sum is 36.

The square root of 23196960 is about 4816.3222483551. The cubic root of 23196960 is about 285.1961714959.

The spelling of 23196960 in words is "twenty-three million, one hundred ninety-six thousand, nine hundred sixty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 72 80 89 90 96 120 144 160 178 180 181 240 267 288 356 360 362 445 480 534 543 712 720 724 801 890 905 1068 1086 1335 1424 1440 1448 1602 1629 1780 1810 2136 2172 2670 2715 2848 2896 3204 3258 3560 3620 4005 4272 4344 5340 5430 5792 6408 6516 7120 7240 8010 8145 8544 8688 10680 10860 12816 13032 14240 14480 16020 16109 16290 17376 21360 21720 25632 26064 28960 32040 32218 32580 42720 43440 48327 52128 64080 64436 65160 80545 86880 96654 128160 128872 130320 144981 161090 193308 241635 257744 260640 289962 322180 386616 483270 515488 579924 644360 724905 773232 966540 1159848 1288720 1449810 1546464 1933080 2319696 2577440 2899620 3866160 4639392 5799240 7732320 11598480 23196960