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153205530 = 235172337353
BaseRepresentation
bin10010010000110…
…11101100011010
3101200021122110220
421020123230122
5303210034110
623111420510
73540140232
oct1110335432
9350248426
10153205530
1179531645
1243384736
1325981c7a
14164c0cc2
15d6b4370
hex921bb1a

153205530 has 128 divisors (see below), whose sum is σ = 418411008. Its totient is φ = 35684352.

The previous prime is 153205529. The next prime is 153205541. The reversal of 153205530 is 35502351.

153205530 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 153205530.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 433834 + ... + 434186.

It is an arithmetic number, because the mean of its divisors is an integer number (3268836).

Almost surely, 2153205530 is an apocalyptic number.

153205530 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 153205530, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (209205504).

153205530 is an abundant number, since it is smaller than the sum of its proper divisors (265205478).

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

153205530 is a wasteful number, since it uses less digits than its factorization.

153205530 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 440.

The product of its (nonzero) digits is 2250, while the sum is 24.

The square root of 153205530 is about 12377.6221464383. The cubic root of 153205530 is about 535.0875100687.

Adding to 153205530 its reverse (35502351), we get a palindrome (188707881).

It can be divided in two parts, 153205 and 530, that added together give a triangular number (153735 = T554).

The spelling of 153205530 in words is "one hundred fifty-three million, two hundred five thousand, five hundred thirty".

Divisors: 1 2 3 5 6 10 15 17 23 30 34 37 46 51 69 74 85 102 111 115 138 170 185 222 230 255 345 353 370 391 510 555 629 690 706 782 851 1059 1110 1173 1258 1702 1765 1887 1955 2118 2346 2553 3145 3530 3774 3910 4255 5106 5295 5865 6001 6290 8119 8510 9435 10590 11730 12002 12765 13061 14467 16238 18003 18870 24357 25530 26122 28934 30005 36006 39183 40595 43401 48714 60010 65305 72335 78366 81190 86802 90015 121785 130610 138023 144670 180030 195915 217005 222037 243570 276046 300403 391830 414069 434010 444074 600806 666111 690115 828138 901209 1110185 1332222 1380230 1502015 1802418 2070345 2220370 3004030 3330555 4140690 4506045 5106851 6661110 9012090 10213702 15320553 25534255 30641106 51068510 76602765 153205530