Search a number
-
+
152528220 = 223251365183
BaseRepresentation
bin10010001011101…
…10010101011100
3101122000020101100
421011312111130
5303021400340
623045113100
73531316455
oct1105662534
9348006340
10152528220
1179109789
12430b8790
13257a58b0
141638612c
15d5cd830
hex917655c

152528220 has 72 divisors (see below), whose sum is σ = 498266496. Its totient is φ = 37544832.

The previous prime is 152528213. The next prime is 152528231. The reversal of 152528220 is 22825251.

152528220 is digitally balanced in base 2, 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 23 ways as a sum of consecutive naturals, for example, 30252 + ... + 34931.

It is an arithmetic number, because the mean of its divisors is an integer number (6920368).

Almost surely, 2152528220 is an apocalyptic number.

152528220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

152528220 is an abundant number, since it is smaller than the sum of its proper divisors (345738276).

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

152528220 is a wasteful number, since it uses less digits than its factorization.

152528220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 65211 (or 65206 counting only the distinct ones).

The product of its (nonzero) digits is 3200, while the sum is 27.

The square root of 152528220 is about 12350.2315767762. The cubic root of 152528220 is about 534.2978181337.

The spelling of 152528220 in words is "one hundred fifty-two million, five hundred twenty-eight thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 13 15 18 20 26 30 36 39 45 52 60 65 78 90 117 130 156 180 195 234 260 390 468 585 780 1170 2340 65183 130366 195549 260732 325915 391098 586647 651830 782196 847379 977745 1173294 1303660 1694758 1955490 2346588 2542137 2933235 3389516 3910980 4236895 5084274 5866470 7626411 8473790 10168548 11732940 12710685 15252822 16947580 25421370 30505644 38132055 50842740 76264110 152528220