Search a number
-
+
151016560 = 24519731361
BaseRepresentation
bin10010000000001…
…01010001110000
3101112011102202221
421000011101300
5302130012220
622552450424
73512422342
oct1100052160
9345142687
10151016560
1178276a82
12426a9a14
1325396816
14160b1292
15d3d09aa
hex9005470

151016560 has 80 divisors (see below), whose sum is σ = 374931360. Its totient is φ = 56401920.

The previous prime is 151016549. The next prime is 151016563. The reversal of 151016560 is 65610151.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (151016563) 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, 110280 + ... + 111640.

It is an arithmetic number, because the mean of its divisors is an integer number (4686642).

Almost surely, 2151016560 is an apocalyptic number.

151016560 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 151016560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (187465680).

151016560 is an abundant number, since it is smaller than the sum of its proper divisors (223914800).

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

151016560 is a wasteful number, since it uses less digits than its factorization.

151016560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1466 (or 1460 counting only the distinct ones).

The product of its (nonzero) digits is 900, while the sum is 25.

The square root of 151016560 is about 12288.8795258152. The cubic root of 151016560 is about 532.5268679457.

The spelling of 151016560 in words is "one hundred fifty-one million, sixteen thousand, five hundred sixty".

Divisors: 1 2 4 5 8 10 16 19 20 38 40 73 76 80 95 146 152 190 292 304 365 380 584 730 760 1168 1361 1387 1460 1520 2722 2774 2920 5444 5548 5840 6805 6935 10888 11096 13610 13870 21776 22192 25859 27220 27740 51718 54440 55480 99353 103436 108880 110960 129295 198706 206872 258590 397412 413744 496765 517180 794824 993530 1034360 1589648 1887707 1987060 2068720 3775414 3974120 7550828 7948240 9438535 15101656 18877070 30203312 37754140 75508280 151016560