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16157020 = 225112712
BaseRepresentation
bin111101101000…
…100101011100
31010101212021011
4331220211130
513114011040
61334145004
7254222005
oct75504534
933355234
1016157020
119136010
1254b2164
133469189
1422081ac
1516423ea
hexf6895c

16157020 has 36 divisors (see below), whose sum is σ = 37151352. Its totient is φ = 5853600.

The previous prime is 16156991. The next prime is 16157033. The reversal of 16157020 is 2075161.

It is a super-3 number, since 3×161570203 (a number of 23 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a junction number, because it is equal to n+sod(n) for n = 16156982 and 16157000.

It is a congruent number.

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 11 ways as a sum of consecutive naturals, for example, 59485 + ... + 59755.

It is an arithmetic number, because the mean of its divisors is an integer number (1031982).

Almost surely, 216157020 is an apocalyptic number.

16157020 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 16157020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18575676).

16157020 is an abundant number, since it is smaller than the sum of its proper divisors (20994332).

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

16157020 is a wasteful number, since it uses less digits than its factorization.

16157020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 562 (or 289 counting only the distinct ones).

The product of its (nonzero) digits is 420, while the sum is 22.

The square root of 16157020 is about 4019.5795800058. The cubic root of 16157020 is about 252.8058314296.

The spelling of 16157020 in words is "sixteen million, one hundred fifty-seven thousand, twenty".

Divisors: 1 2 4 5 10 11 20 22 44 55 110 220 271 542 1084 1355 2710 2981 5420 5962 11924 14905 29810 59620 73441 146882 293764 367205 734410 807851 1468820 1615702 3231404 4039255 8078510 16157020