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16157973 = 3131724371
BaseRepresentation
bin111101101000…
…110100010101
31010101220120110
4331220310111
513114023343
61334153233
7254224536
oct75506425
933356513
1016157973
1191367a7
1254b2819
133469740
14220868d
151642833
hexf68d15

16157973 has 16 divisors (see below), whose sum is σ = 24566976. Its totient is φ = 9358080.

The previous prime is 16157971. The next prime is 16157993. The reversal of 16157973 is 37975161.

It is not a de Polignac number, because 16157973 - 21 = 16157971 is a prime.

It is a super-2 number, since 2×161579732 = 522160182937458, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent 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 15 ways as a sum of consecutive naturals, for example, 11523 + ... + 12848.

It is an arithmetic number, because the mean of its divisors is an integer number (1535436).

Almost surely, 216157973 is an apocalyptic number.

16157973 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

16157973 is a deficient number, since it is larger than the sum of its proper divisors (8409003).

16157973 is a wasteful number, since it uses less digits than its factorization.

16157973 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24404.

The product of its digits is 39690, while the sum is 39.

The square root of 16157973 is about 4019.6981229938. The cubic root of 16157973 is about 252.8108018020.

The spelling of 16157973 in words is "sixteen million, one hundred fifty-seven thousand, nine hundred seventy-three".

Divisors: 1 3 13 17 39 51 221 663 24371 73113 316823 414307 950469 1242921 5385991 16157973