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21157032 = 23313194383
BaseRepresentation
bin101000010110…
…1010010101000
31110210212222210
41100231102220
520404011112
62033245120
7344555211
oct120552250
943725883
1021157032
1110a40656
1271037a0
1344c9c70
142b4a408
151ccdb3c
hex142d4a8

21157032 has 128 divisors (see below), whose sum is σ = 62092800. Its totient is φ = 5951232.

The previous prime is 21156953. The next prime is 21157039. The reversal of 21157032 is 23075112.

It is not an unprimeable number, because it can be changed into a prime (21157039) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 254863 + ... + 254945.

It is an arithmetic number, because the mean of its divisors is an integer number (485100).

Almost surely, 221157032 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21157032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31046400).

21157032 is an abundant number, since it is smaller than the sum of its proper divisors (40935768).

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

21157032 is a wasteful number, since it uses less digits than its factorization.

21157032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 167 (or 163 counting only the distinct ones).

The product of its (nonzero) digits is 420, while the sum is 21.

The square root of 21157032 is about 4599.6773799909. The cubic root of 21157032 is about 276.5783921858.

The spelling of 21157032 in words is "twenty-one million, one hundred fifty-seven thousand, thirty-two".

Divisors: 1 2 3 4 6 8 12 13 19 24 26 38 39 43 52 57 76 78 83 86 104 114 129 152 156 166 172 228 247 249 258 312 332 344 456 494 498 516 559 664 741 817 988 996 1032 1079 1118 1482 1577 1634 1677 1976 1992 2158 2236 2451 2964 3154 3237 3268 3354 3569 4316 4472 4731 4902 5928 6308 6474 6536 6708 7138 8632 9462 9804 10621 10707 12616 12948 13416 14276 18924 19608 20501 21242 21414 25896 28552 31863 37848 41002 42484 42828 46397 61503 63726 67811 82004 84968 85656 92794 123006 127452 135622 139191 164008 185588 203433 246012 254904 271244 278382 371176 406866 492024 542488 556764 813732 881543 1113528 1627464 1763086 2644629 3526172 5289258 7052344 10578516 21157032