Search a number
-
+
506555136 = 2832435113
BaseRepresentation
bin11110001100010…
…110101100000000
31022022011200000100
4132030112230000
52014134231021
6122133122400
715360435063
oct3614265400
91268150010
10506555136
1123aa3440a
12121789400
1380c3b989
144b3c08da
152e710626
hex1e316b00

506555136 has 108 divisors (see below), whose sum is σ = 1494781288. Its totient is φ = 164892672.

The previous prime is 506555129. The next prime is 506555141. The reversal of 506555136 is 631555605.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 506555136.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 96516 + ... + 101628.

Almost surely, 2506555136 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 506555136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (747390644).

506555136 is an abundant number, since it is smaller than the sum of its proper divisors (988226152).

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

506555136 is a wasteful number, since it uses less digits than its factorization.

506555136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5178 (or 5161 counting only the distinct ones).

The product of its (nonzero) digits is 67500, while the sum is 36.

The square root of 506555136 is about 22506.7797785467. The cubic root of 506555136 is about 797.1540208425.

The spelling of 506555136 in words is "five hundred six million, five hundred fifty-five thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 43 48 64 72 86 96 128 129 144 172 192 256 258 288 344 384 387 516 576 688 768 774 1032 1152 1376 1548 2064 2304 2752 3096 4128 5113 5504 6192 8256 10226 11008 12384 15339 16512 20452 24768 30678 33024 40904 46017 49536 61356 81808 92034 99072 122712 163616 184068 219859 245424 327232 368136 439718 490848 654464 659577 736272 879436 981696 1308928 1319154 1472544 1758872 1963392 1978731 2638308 2945088 3517744 3926784 3957462 5276616 5890176 7035488 7914924 10553232 11780352 14070976 15829848 21106464 28141952 31659696 42212928 56283904 63319392 84425856 126638784 168851712 253277568 506555136