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23948320 = 2551121237
BaseRepresentation
bin101101101011…
…0110000100000
31200001200220211
41123112300200
522112321240
62213143504
7410362114
oct133266040
950050824
1023948320
1112577800
12802ab94
134c66606
143275744
152180bea
hex16d6c20

23948320 has 72 divisors (see below), whose sum is σ = 62239212. Its totient is φ = 8701440.

The previous prime is 23948317. The next prime is 23948321. The reversal of 23948320 is 2384932.

It can be written as a sum of positive squares in 2 ways, for example, as 23853456 + 94864 = 4884^2 + 308^2 .

It is not an unprimeable number, because it can be changed into a prime (23948321) 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 11 ways as a sum of consecutive naturals, for example, 18742 + ... + 19978.

Almost surely, 223948320 is an apocalyptic number.

23948320 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 23948320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31119606).

23948320 is an abundant number, since it is smaller than the sum of its proper divisors (38290892).

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

23948320 is a wasteful number, since it uses less digits than its factorization.

23948320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1274 (or 1255 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 31.

The square root of 23948320 is about 4893.7020751165. The cubic root of 23948320 is about 288.2427223343.

The spelling of 23948320 in words is "twenty-three million, nine hundred forty-eight thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 11 16 20 22 32 40 44 55 80 88 110 121 160 176 220 242 352 440 484 605 880 968 1210 1237 1760 1936 2420 2474 3872 4840 4948 6185 9680 9896 12370 13607 19360 19792 24740 27214 39584 49480 54428 68035 98960 108856 136070 149677 197920 217712 272140 299354 435424 544280 598708 748385 1088560 1197416 1496770 2177120 2394832 2993540 4789664 5987080 11974160 23948320