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16157977 = 112413257
BaseRepresentation
bin111101101000…
…110100011001
31010101220120121
4331220310121
513114023402
61334153241
7254224543
oct75506431
933356517
1016157977
119136800
1254b2821
133469744
142208693
151642837
hexf68d19

16157977 has 12 divisors (see below), whose sum is σ = 18199188. Its totient is φ = 14326400.

The previous prime is 16157971. The next prime is 16157993. The reversal of 16157977 is 77975161.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 6739216 + 9418761 = 2596^2 + 3069^2 .

It is not a de Polignac number, because 16157977 - 27 = 16157849 is a prime.

It is a super-2 number, since 2×161579772 = 522160441465058, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (16157971) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 3333 + ... + 6589.

It is an arithmetic number, because the mean of its divisors is an integer number (1516599).

Almost surely, 216157977 is an apocalyptic number.

It is an amenable number.

16157977 is a deficient number, since it is larger than the sum of its proper divisors (2041211).

16157977 is a wasteful number, since it uses less digits than its factorization.

16157977 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3320 (or 3309 counting only the distinct ones).

The product of its digits is 92610, while the sum is 43.

The square root of 16157977 is about 4019.6986205436. The cubic root of 16157977 is about 252.8108226636.

The spelling of 16157977 in words is "sixteen million, one hundred fifty-seven thousand, nine hundred seventy-seven".

Divisors: 1 11 41 121 451 3257 4961 35827 133537 394097 1468907 16157977