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16157152 = 2511197233
BaseRepresentation
bin111101101000…
…100111100000
31010101212110001
4331220213200
513114012102
61334145344
7254222254
oct75504740
933355401
1016157152
119136120
1254b2254
13346925b
142208264
151642487
hexf689e0

16157152 has 48 divisors (see below), whose sum is σ = 35026992. Its totient is φ = 7275520.

The previous prime is 16157129. The next prime is 16157161. The reversal of 16157152 is 25175161.

16157152 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×161571522 = 522107121502208, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 16157152.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 69228 + ... + 69460.

It is an arithmetic number, because the mean of its divisors is an integer number (729729).

Almost surely, 216157152 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 16157152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17513496).

16157152 is an abundant number, since it is smaller than the sum of its proper divisors (18869840).

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

16157152 is a wasteful number, since it uses less digits than its factorization.

16157152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 451 (or 443 counting only the distinct ones).

The product of its digits is 2100, while the sum is 28.

The square root of 16157152 is about 4019.5959996000. The cubic root of 16157152 is about 252.8065198874.

Subtracting 16157152 from its reverse (25175161), we obtain a square (9018009 = 30032).

The spelling of 16157152 in words is "sixteen million, one hundred fifty-seven thousand, one hundred fifty-two".

Divisors: 1 2 4 8 11 16 22 32 44 88 176 197 233 352 394 466 788 932 1576 1864 2167 2563 3152 3728 4334 5126 6304 7456 8668 10252 17336 20504 34672 41008 45901 69344 82016 91802 183604 367208 504911 734416 1009822 1468832 2019644 4039288 8078576 16157152