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23051840 = 265741251
BaseRepresentation
bin101011111101…
…1111001000000
31121101011011212
41113323321000
521400124330
62142025252
7366636350
oct127737100
947334155
1023051840
1112015209
127878228
134a11556
1430c0b60
152055295
hex15fbe40

23051840 has 112 divisors (see below), whose sum is σ = 64520064. Its totient is φ = 7680000.

The previous prime is 23051837. The next prime is 23051843. The reversal of 23051840 is 4815032.

It is an interprime number because it is at equal distance from previous prime (23051837) and next prime (23051843).

It is a tau number, because it is divible by the number of its divisors (112).

It is not an unprimeable number, because it can be changed into a prime (23051843) 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, 91715 + ... + 91965.

It is an arithmetic number, because the mean of its divisors is an integer number (576072).

Almost surely, 223051840 is an apocalyptic number.

23051840 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 23051840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32260032).

23051840 is an abundant number, since it is smaller than the sum of its proper divisors (41468224).

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

23051840 is a wasteful number, since it uses less digits than its factorization.

23051840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 316 (or 306 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 23.

The square root of 23051840 is about 4801.2331749250. The cubic root of 23051840 is about 284.6001986241.

Adding to 23051840 its reverse (4815032), we get a palindrome (27866872).

The spelling of 23051840 in words is "twenty-three million, fifty-one thousand, eight hundred forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 41 56 64 70 80 82 112 140 160 164 205 224 251 280 287 320 328 410 448 502 560 574 656 820 1004 1120 1148 1255 1312 1435 1640 1757 2008 2240 2296 2510 2624 2870 3280 3514 4016 4592 5020 5740 6560 7028 8032 8785 9184 10040 10291 11480 13120 14056 16064 17570 18368 20080 20582 22960 28112 35140 40160 41164 45920 51455 56224 70280 72037 80320 82328 91840 102910 112448 140560 144074 164656 205820 281120 288148 329312 360185 411640 562240 576296 658624 720370 823280 1152592 1440740 1646560 2305184 2881480 3293120 4610368 5762960 11525920 23051840