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16137120 = 253533619
BaseRepresentation
bin111101100011…
…101110100000
31010100211222010
4331203232200
513112341440
61333512520
7254106666
oct75435640
933324863
1016137120
11912206a
1254a2740
1334600bc
142200c36
15163b580
hexf63ba0

16137120 has 48 divisors (see below), whose sum is σ = 50833440. Its totient is φ = 4303104.

The previous prime is 16137103. The next prime is 16137133. The reversal of 16137120 is 2173161.

It is a tau number, because it is divible by the number of its divisors (48).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 16330 + ... + 17289.

It is an arithmetic number, because the mean of its divisors is an integer number (1059030).

Almost surely, 216137120 is an apocalyptic number.

16137120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

16137120 is an abundant number, since it is smaller than the sum of its proper divisors (34696320).

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

16137120 is a wasteful number, since it uses less digits than its factorization.

16137120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33637 (or 33629 counting only the distinct ones).

The product of its (nonzero) digits is 252, while the sum is 21.

The square root of 16137120 is about 4017.1034340679. The cubic root of 16137120 is about 252.7019982786.

The spelling of 16137120 in words is "sixteen million, one hundred thirty-seven thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 120 160 240 480 33619 67238 100857 134476 168095 201714 268952 336190 403428 504285 537904 672380 806856 1008570 1075808 1344760 1613712 2017140 2689520 3227424 4034280 5379040 8068560 16137120