[go: up one dir, main page]

Search a number
-
+
132501915 = 325713219131
BaseRepresentation
bin1111110010111…
…01000110011011
3100020022210110100
413321131012123
5232410030130
621051550443
73166150650
oct771350633
9306283410
10132501915
1168880717
123845b423
13215b3500
1413851c27
15b974c60
hex7e5d19b

132501915 has 144 divisors (see below), whose sum is σ = 301466880. Its totient is φ = 52565760.

The previous prime is 132501913. The next prime is 132501923. The reversal of 132501915 is 519105231.

It is not a de Polignac number, because 132501915 - 21 = 132501913 is a prime.

It is not an unprimeable number, because it can be changed into a prime (132501913) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1011400 + ... + 1011530.

It is an arithmetic number, because the mean of its divisors is an integer number (2093520).

Almost surely, 2132501915 is an apocalyptic number.

132501915 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

132501915 is an abundant number, since it is smaller than the sum of its proper divisors (168964965).

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

132501915 is a wasteful number, since it uses less digits than its factorization.

132501915 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 194 (or 178 counting only the distinct ones).

The product of its (nonzero) digits is 1350, while the sum is 27.

The square root of 132501915 is about 11510.9476152053. The cubic root of 132501915 is about 509.8088672478.

The spelling of 132501915 in words is "one hundred thirty-two million, five hundred one thousand, nine hundred fifteen".

Divisors: 1 3 5 7 9 13 15 19 21 35 39 45 57 63 65 91 95 105 117 131 133 169 171 195 247 273 285 315 393 399 455 507 585 655 665 741 819 845 855 917 1179 1183 1197 1235 1365 1521 1703 1729 1965 1995 2223 2489 2535 2751 3211 3549 3705 4095 4585 5109 5187 5895 5915 5985 7467 7605 8253 8515 8645 9633 10647 11115 11921 12445 13755 15327 15561 16055 17423 17745 22139 22401 22477 25545 25935 28899 32357 35763 37335 41265 48165 52269 53235 59605 66417 67431 76635 77805 87115 97071 107289 110695 112005 112385 144495 154973 156807 161785 178815 199251 202293 226499 261345 291213 332085 337155 420641 464919 485355 536445 679497 774865 784035 996255 1011465 1132495 1261923 1394757 1456065 2038491 2103205 2324595 2944487 3397485 3785769 6309615 6973785 8833461 10192455 14722435 18928845 26500383 44167305 132501915