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14974020 = 22325412029
BaseRepresentation
bin111001000111…
…110001000100
31001011202111100
4321013301010
512313132040
61252540100
7241164015
oct71076104
931152440
1014974020
1184a8226
125021630
133143889
141dbb00c
1514abb30
hexe47c44

14974020 has 72 divisors (see below), whose sum is σ = 46551960. Its totient is φ = 3893760.

The previous prime is 14973997. The next prime is 14974051. The reversal of 14974020 is 2047941.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 2143296 + 12830724 = 1464^2 + 3582^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6366 + ... + 8394.

It is an arithmetic number, because the mean of its divisors is an integer number (646555).

Almost surely, 214974020 is an apocalyptic number.

14974020 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 14974020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23275980).

14974020 is an abundant number, since it is smaller than the sum of its proper divisors (31577940).

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

14974020 is a wasteful number, since it uses less digits than its factorization.

14974020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2085 (or 2080 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 14974020 is about 3869.6278890870. The cubic root of 14974020 is about 246.4787425079.

The spelling of 14974020 in words is "fourteen million, nine hundred seventy-four thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 41 45 60 82 90 123 164 180 205 246 369 410 492 615 738 820 1230 1476 1845 2029 2460 3690 4058 6087 7380 8116 10145 12174 18261 20290 24348 30435 36522 40580 60870 73044 83189 91305 121740 166378 182610 249567 332756 365220 415945 499134 748701 831890 998268 1247835 1497402 1663780 2495670 2994804 3743505 4991340 7487010 14974020