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23789640 = 23357127223
BaseRepresentation
bin101101011000…
…0000001001000
31122202122020210
41122300001020
522042232030
62205521120
7406131360
oct132600110
948678223
1023789640
1112479566
127b731a0
134c0c314
1432339a0
15214dbb0
hex16b0048

23789640 has 128 divisors (see below), whose sum is σ = 82575360. Its totient is φ = 5370624.

The previous prime is 23789609. The next prime is 23789663. The reversal of 23789640 is 4698732.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 106569 + ... + 106791.

It is an arithmetic number, because the mean of its divisors is an integer number (645120).

Almost surely, 223789640 is an apocalyptic number.

23789640 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 23789640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41287680).

23789640 is an abundant number, since it is smaller than the sum of its proper divisors (58785720).

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

23789640 is a wasteful number, since it uses less digits than its factorization.

23789640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 371 (or 367 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 39.

The square root of 23789640 is about 4877.4624550067. The cubic root of 23789640 is about 287.6046852545.

The spelling of 23789640 in words is "twenty-three million, seven hundred eighty-nine thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 20 21 24 28 30 35 40 42 56 60 70 84 105 120 127 140 168 210 223 254 280 381 420 446 508 635 669 762 840 889 892 1016 1115 1270 1338 1524 1561 1778 1784 1905 2230 2540 2667 2676 3048 3122 3345 3556 3810 4445 4460 4683 5080 5334 5352 6244 6690 7112 7620 7805 8890 8920 9366 10668 12488 13335 13380 15240 15610 17780 18732 21336 23415 26670 26760 28321 31220 35560 37464 46830 53340 56642 62440 84963 93660 106680 113284 141605 169926 187320 198247 226568 283210 339852 396494 424815 566420 594741 679704 792988 849630 991235 1132840 1189482 1585976 1699260 1982470 2378964 2973705 3398520 3964940 4757928 5947410 7929880 11894820 23789640