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23103680 = 2651731137
BaseRepresentation
bin101100000100…
…0100011000000
31121110210021212
41120020203000
521403304210
62143105252
7400243445
oct130104300
947423255
1023103680
1112050156
1278a2228
134a2c022
1430d59cc
152065805
hex16088c0

23103680 has 112 divisors (see below), whose sum is σ = 60569856. Its totient is φ = 8355840.

The previous prime is 23103671. The next prime is 23103719. The reversal of 23103680 is 8630132.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 168572 + ... + 168708.

Almost surely, 223103680 is an apocalyptic number.

23103680 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 23103680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30284928).

23103680 is an abundant number, since it is smaller than the sum of its proper divisors (37466176).

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

23103680 is a wasteful number, since it uses less digits than its factorization.

23103680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 202 (or 192 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 23.

The square root of 23103680 is about 4806.6287562074. The cubic root of 23103680 is about 284.8133794161.

The spelling of 23103680 in words is "twenty-three million, one hundred three thousand, six hundred eighty".

Divisors: 1 2 4 5 8 10 16 17 20 31 32 34 40 62 64 68 80 85 124 136 137 155 160 170 248 272 274 310 320 340 496 527 544 548 620 680 685 992 1054 1088 1096 1240 1360 1370 1984 2108 2192 2329 2480 2635 2720 2740 4216 4247 4384 4658 4960 5270 5440 5480 8432 8494 8768 9316 9920 10540 10960 11645 16864 16988 18632 21080 21235 21920 23290 33728 33976 37264 42160 42470 43840 46580 67952 72199 74528 84320 84940 93160 135904 144398 149056 168640 169880 186320 271808 288796 339760 360995 372640 577592 679520 721990 745280 1155184 1359040 1443980 2310368 2887960 4620736 5775920 11551840 23103680