Search a number
-
+
507606132 = 22311361521
BaseRepresentation
bin11110010000010…
…111010001110100
31022101011001201010
4132100113101310
52014421344012
6122211432220
715402403155
oct3620272164
91271131633
10507606132
11240592000
12121bb5670
1381219177
144b5b592c
152e86bc3c
hex1e417474

507606132 has 96 divisors (see below), whose sum is σ = 1326665088. Its totient is φ = 151008000.

The previous prime is 507606119. The next prime is 507606149. The reversal of 507606132 is 231606705.

It is a self number, because there is not a number n which added to its sum of digits gives 507606132.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 974032 + ... + 974552.

It is an arithmetic number, because the mean of its divisors is an integer number (13819428).

Almost surely, 2507606132 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 507606132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (663332544).

507606132 is an abundant number, since it is smaller than the sum of its proper divisors (819058956).

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

507606132 is a wasteful number, since it uses less digits than its factorization.

507606132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 622 (or 598 counting only the distinct ones).

The product of its (nonzero) digits is 7560, while the sum is 30.

The square root of 507606132 is about 22530.1161115517. The cubic root of 507606132 is about 797.7049493074.

The spelling of 507606132 in words is "five hundred seven million, six hundred six thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 11 12 22 33 44 61 66 121 122 132 183 242 244 363 366 484 521 671 726 732 1042 1331 1342 1452 1563 2013 2084 2662 2684 3126 3993 4026 5324 5731 6252 7381 7986 8052 11462 14762 15972 17193 22143 22924 29524 31781 34386 44286 63041 63562 68772 81191 88572 95343 126082 127124 162382 189123 190686 243573 252164 324764 349591 378246 381372 487146 693451 699182 756492 974292 1048773 1386902 1398364 2080353 2097546 2773804 3845501 4160706 4195092 7691002 8321412 11536503 15382004 23073006 42300511 46146012 84601022 126901533 169202044 253803066 507606132