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16157120 = 26577213
BaseRepresentation
bin111101101000…
…100111000000
31010101212101212
4331220213000
513114011440
61334145252
7254222210
oct75504700
933355355
1016157120
1191360a1
1254b2228
133469235
142208240
151642465
hexf689c0

16157120 has 56 divisors (see below), whose sum is σ = 43976544. Its totient is φ = 5538816.

The previous prime is 16157111. The next prime is 16157129. The reversal of 16157120 is 2175161.

16157120 is an esthetic number in base 3, because in such base its adjacent digits differ by 1.

It is an interprime number because it is at equal distance from previous prime (16157111) and next prime (16157129).

It is a tau number, because it is divible by the number of its divisors (56).

It is a super-2 number, since 2×161571202 = 522105053388800, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (16157129) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 1367 + ... + 5846.

Almost surely, 216157120 is an apocalyptic number.

16157120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

16157120 is an abundant number, since it is smaller than the sum of its proper divisors (27819424).

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

16157120 is an equidigital number, since it uses as much as digits as its factorization.

16157120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7237 (or 7227 counting only the distinct ones).

The product of its (nonzero) digits is 420, while the sum is 23.

The square root of 16157120 is about 4019.5920190985. The cubic root of 16157120 is about 252.8063529889.

The spelling of 16157120 in words is "sixteen million, one hundred fifty-seven thousand, one hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 56 64 70 80 112 140 160 224 280 320 448 560 1120 2240 7213 14426 28852 36065 50491 57704 72130 100982 115408 144260 201964 230816 252455 288520 403928 461632 504910 577040 807856 1009820 1154080 1615712 2019640 2308160 3231424 4039280 8078560 16157120