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23271840 = 253355387
BaseRepresentation
bin101100011000…
…1100110100000
31121210022222000
41120301212200
521424144330
62150444000
7401543634
oct130614640
947708860
1023271840
1112155529
127963600
134a8a727
14313adc4
15209a560
hex16319a0

23271840 has 96 divisors (see below), whose sum is σ = 81466560. Its totient is φ = 6204672.

The previous prime is 23271839. The next prime is 23271841. The reversal of 23271840 is 4817232.

It is an interprime number because it is at equal distance from previous prime (23271839) and next prime (23271841).

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (23271841) 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, 1627 + ... + 7013.

It is an arithmetic number, because the mean of its divisors is an integer number (848610).

Almost surely, 223271840 is an apocalyptic number.

23271840 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 23271840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40733280).

23271840 is an abundant number, since it is smaller than the sum of its proper divisors (58194720).

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

23271840 is a wasteful number, since it uses less digits than its factorization.

23271840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5411 (or 5397 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 23271840 is about 4824.0895514076. The cubic root of 23271840 is about 285.5027138456.

The spelling of 23271840 in words is "twenty-three million, two hundred seventy-one thousand, eight hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 32 36 40 45 48 54 60 72 80 90 96 108 120 135 144 160 180 216 240 270 288 360 432 480 540 720 864 1080 1440 2160 4320 5387 10774 16161 21548 26935 32322 43096 48483 53870 64644 80805 86192 96966 107740 129288 145449 161610 172384 193932 215480 242415 258576 290898 323220 387864 430960 484830 517152 581796 646440 727245 775728 861920 969660 1163592 1292880 1454490 1551456 1939320 2327184 2585760 2908980 3878640 4654368 5817960 7757280 11635920 23271840