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14899920 = 243573181
BaseRepresentation
bin111000110101…
…101011010000
31001000222211220
4320311223100
512303244140
61251205040
7240435000
oct70655320
931028756
1014899920
118457592
124ba6780
133118c29
141d9c000
151494bd0
hexe35ad0

14899920 has 160 divisors (see below), whose sum is σ = 54163200. Its totient is φ = 3386880.

The previous prime is 14899909. The next prime is 14899931. The reversal of 14899920 is 2999841.

14899920 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (14899909) and next prime (14899931).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

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, 82230 + ... + 82410.

It is an arithmetic number, because the mean of its divisors is an integer number (338520).

Almost surely, 214899920 is an apocalyptic number.

14899920 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 14899920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27081600).

14899920 is an abundant number, since it is smaller than the sum of its proper divisors (39263280).

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

14899920 is a wasteful number, since it uses less digits than its factorization.

14899920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 218 (or 198 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 42.

The square root of 14899920 is about 3860.0414505546. The cubic root of 14899920 is about 246.0714974941.

The spelling of 14899920 in words is "fourteen million, eight hundred ninety-nine thousand, nine hundred twenty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 28 30 35 40 42 48 49 56 60 70 80 84 98 105 112 120 140 147 168 181 196 210 240 245 280 294 336 343 362 392 420 490 543 560 588 686 724 735 784 840 905 980 1029 1086 1176 1267 1372 1448 1470 1680 1715 1810 1960 2058 2172 2352 2534 2715 2744 2896 2940 3430 3620 3801 3920 4116 4344 5068 5145 5430 5488 5880 6335 6860 7240 7602 8232 8688 8869 10136 10290 10860 11760 12670 13720 14480 15204 16464 17738 19005 20272 20580 21720 25340 26607 27440 30408 35476 38010 41160 43440 44345 50680 53214 60816 62083 70952 76020 82320 88690 101360 106428 124166 133035 141904 152040 177380 186249 212856 248332 266070 304080 310415 354760 372498 425712 496664 532140 620830 709520 744996 931245 993328 1064280 1241660 1489992 1862490 2128560 2483320 2979984 3724980 4966640 7449960 14899920