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14951970 = 23251121373
BaseRepresentation
bin111001000010…
…011000100010
31001010122020200
4321002120202
512311430340
61252250030
7241042515
oct71023042
931118220
1014951970
118492700
125010916
133136827
141db2d7c
1514a5330
hexe42622

14951970 has 72 divisors (see below), whose sum is σ = 42761628. Its totient is φ = 3622080.

The previous prime is 14951941. The next prime is 14951971. The reversal of 14951970 is 7915941.

It can be written as a sum of positive squares in 2 ways, for example, as 13905441 + 1046529 = 3729^2 + 1023^2 .

It is a super-2 number, since 2×149519702 = 447122813761800, which contains 22 as substring.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (14951971) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 10204 + ... + 11576.

Almost surely, 214951970 is an apocalyptic number.

14951970 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 14951970, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21380814).

14951970 is an abundant number, since it is smaller than the sum of its proper divisors (27809658).

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

14951970 is a wasteful number, since it uses less digits than its factorization.

14951970 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1408 (or 1394 counting only the distinct ones).

The product of its (nonzero) digits is 11340, while the sum is 36.

The square root of 14951970 is about 3866.7777282901. Note that the first 4 decimals coincide. The cubic root of 14951970 is about 246.3576989458.

The spelling of 14951970 in words is "fourteen million, nine hundred fifty-one thousand, nine hundred seventy".

Divisors: 1 2 3 5 6 9 10 11 15 18 22 30 33 45 55 66 90 99 110 121 165 198 242 330 363 495 605 726 990 1089 1210 1373 1815 2178 2746 3630 4119 5445 6865 8238 10890 12357 13730 15103 20595 24714 30206 41190 45309 61785 75515 90618 123570 135927 151030 166133 226545 271854 332266 453090 498399 679635 830665 996798 1359270 1495197 1661330 2491995 2990394 4983990 7475985 14951970