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14743680 = 273571097
BaseRepresentation
bin111000001111…
…100010000000
31000202001112020
4320033202000
512233244210
61244001440
7236214330
oct70174200
930661466
1014743680
118360166
124b30280
133092a93
141d5b0c0
151463770
hexe0f880

14743680 has 128 divisors (see below), whose sum is σ = 53758080. Its totient is φ = 3366912.

The previous prime is 14743669. The next prime is 14743697. The reversal of 14743680 is 8634741.

It is a tau number, because it is divible by the number of its divisors (128).

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, 12892 + ... + 13988.

It is an arithmetic number, because the mean of its divisors is an integer number (419985).

Almost surely, 214743680 is an apocalyptic number.

14743680 is a gapful number since it is divisible by the number (10) 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 14743680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26879040).

14743680 is an abundant number, since it is smaller than the sum of its proper divisors (39014400).

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

14743680 is a wasteful number, since it uses less digits than its factorization.

14743680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1126 (or 1114 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 33.

The square root of 14743680 is about 3839.7499918614. The cubic root of 14743680 is about 245.2083747174.

The spelling of 14743680 in words is "fourteen million, seven hundred forty-three thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 28 30 32 35 40 42 48 56 60 64 70 80 84 96 105 112 120 128 140 160 168 192 210 224 240 280 320 336 384 420 448 480 560 640 672 840 896 960 1097 1120 1344 1680 1920 2194 2240 2688 3291 3360 4388 4480 5485 6582 6720 7679 8776 10970 13164 13440 15358 16455 17552 21940 23037 26328 30716 32910 35104 38395 43880 46074 52656 61432 65820 70208 76790 87760 92148 105312 115185 122864 131640 140416 153580 175520 184296 210624 230370 245728 263280 307160 351040 368592 421248 460740 491456 526560 614320 702080 737184 921480 982912 1053120 1228640 1474368 1842960 2106240 2457280 2948736 3685920 4914560 7371840 14743680