Search a number
-
+
153150560 = 2552341617
BaseRepresentation
bin10010010000011…
…10010001100000
3101200011212001222
421020032101200
5303201304220
623110314212
73536521043
oct1110162140
9350155058
10153150560
11794a4312
1243358968
1325962c44
14164a8c5a
15d6a2e25
hex920e460

153150560 has 48 divisors (see below), whose sum is σ = 377558496. Its totient is φ = 58595328.

The previous prime is 153150553. The next prime is 153150589. The reversal of 153150560 is 65051351.

153150560 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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, 17129 + ... + 24488.

It is an arithmetic number, because the mean of its divisors is an integer number (7865802).

Almost surely, 2153150560 is an apocalyptic number.

153150560 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

153150560 is an abundant number, since it is smaller than the sum of its proper divisors (224407936).

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

153150560 is a wasteful number, since it uses less digits than its factorization.

153150560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41655 (or 41647 counting only the distinct ones).

The product of its (nonzero) digits is 2250, while the sum is 26.

The square root of 153150560 is about 12375.4014076312. The cubic root of 153150560 is about 535.0235061148.

The spelling of 153150560 in words is "one hundred fifty-three million, one hundred fifty thousand, five hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 23 32 40 46 80 92 115 160 184 230 368 460 736 920 1840 3680 41617 83234 166468 208085 332936 416170 665872 832340 957191 1331744 1664680 1914382 3329360 3828764 4785955 6658720 7657528 9571910 15315056 19143820 30630112 38287640 76575280 153150560