Search a number
-
+
155385594 = 233713103307
BaseRepresentation
bin10010100001011…
…11111011111010
3101211101101222000
421100233323322
5304234314334
623230241430
73564520140
oct1120577372
9354341860
10155385594
117a790551
1244056276
1326266350
14168cb590
15d995299
hex942fefa

155385594 has 128 divisors (see below), whose sum is σ = 430510080. Its totient is φ = 40450752.

The previous prime is 155385589. The next prime is 155385647. The reversal of 155385594 is 495583551.

155385594 is a `hidden beast` number, since 1 + 5 + 53 + 8 + 5 + 594 = 666.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 505989 + ... + 506295.

It is an arithmetic number, because the mean of its divisors is an integer number (3363360).

Almost surely, 2155385594 is an apocalyptic number.

155385594 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 155385594, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (215255040).

155385594 is an abundant number, since it is smaller than the sum of its proper divisors (275124486).

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

155385594 is a wasteful number, since it uses less digits than its factorization.

155385594 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 441 (or 435 counting only the distinct ones).

The product of its digits is 540000, while the sum is 45.

The square root of 155385594 is about 12465.3758066093. The cubic root of 155385594 is about 537.6136052639.

The spelling of 155385594 in words is "one hundred fifty-five million, three hundred eighty-five thousand, five hundred ninety-four".

Divisors: 1 2 3 6 7 9 13 14 18 21 26 27 39 42 54 63 78 91 103 117 126 182 189 206 234 273 307 309 351 378 546 614 618 702 721 819 921 927 1339 1442 1638 1842 1854 2149 2163 2457 2678 2763 2781 3991 4017 4298 4326 4914 5526 5562 6447 6489 7982 8034 8289 9373 11973 12051 12894 12978 16578 18746 19341 19467 23946 24102 27937 28119 31621 35919 36153 38682 38934 55874 56238 58023 63242 71838 72306 83811 84357 94863 107757 116046 167622 168714 189726 215514 221347 251433 253071 284589 411073 442694 502866 506142 569178 664041 754299 822146 853767 1233219 1328082 1508598 1707534 1992123 2466438 2877511 3699657 3984246 5755022 5976369 7399314 8632533 11098971 11952738 17265066 22197942 25897599 51795198 77692797 155385594