Search a number
-
+
153428160 = 2635712251
BaseRepresentation
bin10010010010100…
…10000011000000
3101200200221212110
421021102003000
5303234200120
623120255320
73542055264
oct1111220300
9350627773
10153428160
1179673936
1243471540
1325a2c3c2
141653c0a4
15d70a2e0
hex92520c0

153428160 has 112 divisors (see below), whose sum is σ = 494214912. Its totient is φ = 40320000.

The previous prime is 153428113. The next prime is 153428161. The reversal of 153428160 is 61824351.

153428160 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (153428161) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 67035 + ... + 69285.

Almost surely, 2153428160 is an apocalyptic number.

153428160 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 153428160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (247107456).

153428160 is an abundant number, since it is smaller than the sum of its proper divisors (340786752).

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

153428160 is a wasteful number, since it uses less digits than its factorization.

153428160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2342 (or 2332 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 30.

The square root of 153428160 is about 12386.6121276158. The cubic root of 153428160 is about 535.3465713792.

The spelling of 153428160 in words is "one hundred fifty-three million, four hundred twenty-eight thousand, one hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 71 80 96 120 142 160 192 213 240 284 320 355 426 480 568 710 852 960 1065 1136 1420 1704 2130 2251 2272 2840 3408 4260 4502 4544 5680 6753 6816 8520 9004 11255 11360 13506 13632 17040 18008 22510 22720 27012 33765 34080 36016 45020 54024 67530 68160 72032 90040 108048 135060 144064 159821 180080 216096 270120 319642 360160 432192 479463 540240 639284 720320 799105 958926 1080480 1278568 1598210 1917852 2160960 2397315 2557136 3196420 3835704 4794630 5114272 6392840 7671408 9589260 10228544 12785680 15342816 19178520 25571360 30685632 38357040 51142720 76714080 153428160