Search a number
-
+
155630664 = 233272311423
BaseRepresentation
bin10010100011010…
…11110001001000
3101211211212010200
421101223301020
5304320140124
623235412200
73566560500
oct1121536110
9354755120
10155630664
117a938692
1244154060
1326320a67
1416952a00
15d9e2bc9
hex946bc48

155630664 has 144 divisors (see below), whose sum is σ = 506488320. Its totient is φ = 43001280.

The previous prime is 155630647. The next prime is 155630669. The reversal of 155630664 is 466036551.

155630664 is a `hidden beast` number, since 15 + 5 + 630 + 6 + 6 + 4 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (155630669) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 108657 + ... + 110079.

It is an arithmetic number, because the mean of its divisors is an integer number (3517280).

Almost surely, 2155630664 is an apocalyptic number.

155630664 is a gapful number since it is divisible by the number (14) 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 155630664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (253244160).

155630664 is an abundant number, since it is smaller than the sum of its proper divisors (350857656).

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

155630664 is a wasteful number, since it uses less digits than its factorization.

155630664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1480 (or 1466 counting only the distinct ones).

The product of its (nonzero) digits is 64800, while the sum is 36.

The square root of 155630664 is about 12475.2019622930. The cubic root of 155630664 is about 537.8960934014.

The spelling of 155630664 in words is "one hundred fifty-five million, six hundred thirty thousand, six hundred sixty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 28 31 36 42 49 56 62 63 72 84 93 98 124 126 147 168 186 196 217 248 252 279 294 372 392 434 441 504 558 588 651 744 868 882 1116 1176 1302 1423 1519 1736 1764 1953 2232 2604 2846 3038 3528 3906 4269 4557 5208 5692 6076 7812 8538 9114 9961 11384 12152 12807 13671 15624 17076 18228 19922 25614 27342 29883 34152 36456 39844 44113 51228 54684 59766 69727 79688 88226 89649 102456 109368 119532 132339 139454 176452 179298 209181 239064 264678 278908 308791 352904 358596 397017 418362 529356 557816 617582 627543 717192 794034 836724 926373 1058712 1235164 1255086 1588068 1673448 1852746 2161537 2470328 2510172 2779119 3176136 3705492 4323074 5020344 5558238 6484611 7410984 8646148 11116476 12969222 17292296 19453833 22232952 25938444 38907666 51876888 77815332 155630664