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150032740 = 2251121319251
BaseRepresentation
bin10001111000101…
…01000101100100
3101110022110020011
420330111011210
5301402021430
622515420004
73501154144
oct1074250544
9343273204
10150032740
1177764900
12422b4604
1325110a90
1415cd6924
15d28922a
hex8f15164

150032740 has 144 divisors (see below), whose sum is σ = 394148160. Its totient is φ = 47520000.

The previous prime is 150032731. The next prime is 150032761. The reversal of 150032740 is 47230051.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 597615 + ... + 597865.

It is an arithmetic number, because the mean of its divisors is an integer number (2737140).

Almost surely, 2150032740 is an apocalyptic number.

150032740 is a gapful number since it is divisible by the number (10) 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 150032740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (197074080).

150032740 is an abundant number, since it is smaller than the sum of its proper divisors (244115420).

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

150032740 is a wasteful number, since it uses less digits than its factorization.

150032740 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 314 (or 301 counting only the distinct ones).

The product of its (nonzero) digits is 840, while the sum is 22.

The square root of 150032740 is about 12248.7852458928. The cubic root of 150032740 is about 531.3679389364.

Adding to 150032740 its reverse (47230051), we get a palindrome (197262791).

The spelling of 150032740 in words is "one hundred fifty million, thirty-two thousand, seven hundred forty".

Divisors: 1 2 4 5 10 11 13 19 20 22 26 38 44 52 55 65 76 95 110 121 130 143 190 209 220 242 247 251 260 286 380 418 484 494 502 572 605 715 836 988 1004 1045 1210 1235 1255 1430 1573 2090 2299 2420 2470 2510 2717 2761 2860 3146 3263 4180 4598 4769 4940 5020 5434 5522 6292 6526 7865 9196 9538 10868 11044 11495 13052 13585 13805 15730 16315 19076 22990 23845 27170 27610 29887 30371 31460 32630 35893 45980 47690 52459 54340 55220 59774 60742 61997 65260 71786 95380 104918 119548 121484 123994 143572 149435 151855 179465 209836 247988 262295 298870 303710 309985 358930 394823 524590 577049 597740 607420 619970 681967 717860 789646 1049180 1154098 1239940 1363934 1579292 1974115 2308196 2727868 2885245 3409835 3948230 5770490 6819670 7501637 7896460 11540980 13639340 15003274 30006548 37508185 75016370 150032740