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21901376 = 267193183
BaseRepresentation
bin101001110001…
…1000001000000
31112012201001002
41103203001000
521101321001
62101231132
7354105260
oct123430100
945181032
1021901376
11113a9912
1274024a8
1346ca9c3
142ca17a0
151dc946b
hex14e3040

21901376 has 112 divisors (see below), whose sum is σ = 54620160. Its totient is φ = 8501760.

The previous prime is 21901291. The next prime is 21901381. The reversal of 21901376 is 67310912.

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

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 263831 + ... + 263913.

It is an arithmetic number, because the mean of its divisors is an integer number (487680).

Almost surely, 221901376 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 21901376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27310080).

21901376 is an abundant number, since it is smaller than the sum of its proper divisors (32718784).

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

21901376 is a wasteful number, since it uses less digits than its factorization.

21901376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 152 (or 142 counting only the distinct ones).

The product of its (nonzero) digits is 2268, while the sum is 29.

The square root of 21901376 is about 4679.8905970119. The cubic root of 21901376 is about 279.7845962373.

The spelling of 21901376 in words is "twenty-one million, nine hundred one thousand, three hundred seventy-six".

Divisors: 1 2 4 7 8 14 16 19 28 31 32 38 56 62 64 76 83 112 124 133 152 166 217 224 248 266 304 332 434 448 496 532 581 589 608 664 868 992 1064 1162 1178 1216 1328 1577 1736 1984 2128 2324 2356 2573 2656 3154 3472 4123 4256 4648 4712 5146 5312 6308 6944 8246 8512 9296 9424 10292 11039 12616 13888 16492 18011 18592 18848 20584 22078 25232 32984 36022 37184 37696 41168 44156 48887 50464 65968 72044 82336 88312 97774 100928 131936 144088 164672 176624 195548 263872 288176 342209 353248 391096 576352 684418 706496 782192 1152704 1368836 1564384 2737672 3128768 5475344 10950688 21901376