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23148320 = 2551331359
BaseRepresentation
bin101100001001…
…1011100100000
31121120001112012
41120103130200
521411221240
62144052052
7400520546
oct130233440
947501465
1023148320
1112080748
127904028
134a46440
143107d96
152073b65
hex1613720

23148320 has 96 divisors (see below), whose sum is σ = 60963840. Its totient is φ = 8248320.

The previous prime is 23148311. The next prime is 23148329. The reversal of 23148320 is 2384132.

It is an interprime number because it is at equal distance from previous prime (23148311) and next prime (23148329).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23148329) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 64301 + ... + 64659.

It is an arithmetic number, because the mean of its divisors is an integer number (635040).

Almost surely, 223148320 is an apocalyptic number.

23148320 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 23148320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30481920).

23148320 is an abundant number, since it is smaller than the sum of its proper divisors (37815520).

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

23148320 is a wasteful number, since it uses less digits than its factorization.

23148320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 418 (or 410 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 23.

The square root of 23148320 is about 4811.2701025821. The cubic root of 23148320 is about 284.9966963811.

The spelling of 23148320 in words is "twenty-three million, one hundred forty-eight thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 13 16 20 26 31 32 40 52 62 65 80 104 124 130 155 160 208 248 260 310 359 403 416 496 520 620 718 806 992 1040 1240 1436 1612 1795 2015 2080 2480 2872 3224 3590 4030 4667 4960 5744 6448 7180 8060 9334 11129 11488 12896 14360 16120 18668 22258 23335 28720 32240 37336 44516 46670 55645 57440 64480 74672 89032 93340 111290 144677 149344 178064 186680 222580 289354 356128 373360 445160 578708 723385 746720 890320 1157416 1446770 1780640 2314832 2893540 4629664 5787080 11574160 23148320