Search a number
-
+
152788890 = 23543831427
BaseRepresentation
bin10010001101101…
…01111110011010
3101122111110221210
421012311332122
5303103221030
623054443550
73533453442
oct1106657632
9348443853
10152788890
1179277611
12432035b6
1325867437
1416413122
15d630bb0
hex91b5f9a

152788890 has 64 divisors (see below), whose sum is σ = 380007936. Its totient is φ = 39289152.

The previous prime is 152788879. The next prime is 152788891. The reversal of 152788890 is 98887251.

It is not an unprimeable number, because it can be changed into a prime (152788891) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 106357 + ... + 107783.

It is an arithmetic number, because the mean of its divisors is an integer number (5937624).

Almost surely, 2152788890 is an apocalyptic number.

152788890 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 152788890, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (190003968).

152788890 is an abundant number, since it is smaller than the sum of its proper divisors (227219046).

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

152788890 is a wasteful number, since it uses less digits than its factorization.

152788890 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1563.

The product of its (nonzero) digits is 322560, while the sum is 48.

The square root of 152788890 is about 12360.7803151743. The cubic root of 152788890 is about 534.6020157157.

The spelling of 152788890 in words is "one hundred fifty-two million, seven hundred eighty-eight thousand, eight hundred ninety".

Divisors: 1 2 3 5 6 10 15 30 43 83 86 129 166 215 249 258 415 430 498 645 830 1245 1290 1427 2490 2854 3569 4281 7135 7138 8562 10707 14270 17845 21405 21414 35690 42810 53535 61361 107070 118441 122722 184083 236882 306805 355323 368166 592205 613610 710646 920415 1184410 1776615 1840830 3553230 5092963 10185926 15278889 25464815 30557778 50929630 76394445 152788890