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14662980 = 2232529532
BaseRepresentation
bin110111111011…
…110101000100
31000120221211100
4313323311010
512223203410
61242140100
7235430133
oct67736504
930527740
1014662980
118305572
124ab1630
133065127
141d3991a
1514498c0
hexdfbd44

14662980 has 108 divisors (see below), whose sum is σ = 46895940. Its totient is φ = 3704064.

The previous prime is 14662979. The next prime is 14662981. The reversal of 14662980 is 8926641.

It is an interprime number because it is at equal distance from previous prime (14662979) and next prime (14662981).

It can be written as a sum of positive squares in 6 ways, for example, as 419904 + 14243076 = 648^2 + 3774^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14662981) 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, 276634 + ... + 276686.

Almost surely, 214662980 is an apocalyptic number.

14662980 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 14662980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23447970).

14662980 is an abundant number, since it is smaller than the sum of its proper divisors (32232960).

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

14662980 is a wasteful number, since it uses less digits than its factorization.

14662980 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 150 (or 92 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 14662980 is about 3829.2270760559. The cubic root of 14662980 is about 244.7601706955.

The spelling of 14662980 in words is "fourteen million, six hundred sixty-two thousand, nine hundred eighty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 29 30 36 45 53 58 60 87 90 106 116 145 159 174 180 212 261 265 290 318 348 435 477 522 530 580 636 795 870 954 1044 1060 1305 1537 1590 1740 1908 2385 2610 2809 3074 3180 4611 4770 5220 5618 6148 7685 8427 9222 9540 11236 13833 14045 15370 16854 18444 23055 25281 27666 28090 30740 33708 42135 46110 50562 55332 56180 69165 81461 84270 92220 101124 126405 138330 162922 168540 244383 252810 276660 325844 407305 488766 505620 733149 814610 977532 1221915 1466298 1629220 2443830 2932596 3665745 4887660 7331490 14662980