Search a number
-
+
151155160 = 235131717099
BaseRepresentation
bin10010000001001…
…11000111011000
3101112102110220021
421000213013120
5302143431120
622555440224
73513540412
oct1100470730
9345373807
10151155160
1178361122
1242756074
1325414930
14161099b2
15d40baaa
hex90271d8

151155160 has 64 divisors (see below), whose sum is σ = 387828000. Its totient is φ = 52525056.

The previous prime is 151155139. The next prime is 151155161. The reversal of 151155160 is 61551151.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (151155161) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 291 + ... + 17389.

Almost surely, 2151155160 is an apocalyptic number.

151155160 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 151155160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (193914000).

151155160 is an abundant number, since it is smaller than the sum of its proper divisors (236672840).

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

151155160 is a wasteful number, since it uses less digits than its factorization.

151155160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17140 (or 17136 counting only the distinct ones).

The product of its (nonzero) digits is 750, while the sum is 25.

The square root of 151155160 is about 12294.5174773148. The cubic root of 151155160 is about 532.6897323262.

The spelling of 151155160 in words is "one hundred fifty-one million, one hundred fifty-five thousand, one hundred sixty".

Divisors: 1 2 4 5 8 10 13 17 20 26 34 40 52 65 68 85 104 130 136 170 221 260 340 442 520 680 884 1105 1768 2210 4420 8840 17099 34198 68396 85495 136792 170990 222287 290683 341980 444574 581366 683960 889148 1111435 1162732 1453415 1778296 2222870 2325464 2906830 3778879 4445740 5813660 7557758 8891480 11627320 15115516 18894395 30231032 37788790 75577580 151155160