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150767730 = 23451710949
BaseRepresentation
bin10001111110010…
…00100001110010
3101111200210110000
420333020201302
5302044031410
622543250430
73510335031
oct1077104162
9344623400
10150767730
1178117033
12425a9a16
132530a499
1416048718
15d381dc0
hex8fc8872

150767730 has 80 divisors (see below), whose sum is σ = 429283800. Its totient is φ = 37836288.

The previous prime is 150767689. The next prime is 150767741. The reversal of 150767730 is 37767051.

It can be written as a sum of positive squares in 4 ways, for example, as 103612041 + 47155689 = 10179^2 + 6867^2 .

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 39 ways as a sum of consecutive naturals, for example, 8296 + ... + 19244.

Almost surely, 2150767730 is an apocalyptic number.

150767730 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 150767730, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (214641900).

150767730 is an abundant number, since it is smaller than the sum of its proper divisors (278516070).

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

150767730 is a wasteful number, since it uses less digits than its factorization.

150767730 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10985 (or 10976 counting only the distinct ones).

The product of its (nonzero) digits is 30870, while the sum is 36.

The square root of 150767730 is about 12278.7511579965. The cubic root of 150767730 is about 532.2342256345.

The spelling of 150767730 in words is "one hundred fifty million, seven hundred sixty-seven thousand, seven hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 17 18 27 30 34 45 51 54 81 85 90 102 135 153 162 170 255 270 306 405 459 510 765 810 918 1377 1530 2295 2754 4590 6885 10949 13770 21898 32847 54745 65694 98541 109490 164235 186133 197082 295623 328470 372266 492705 558399 591246 886869 930665 985410 1116798 1478115 1675197 1773738 1861330 2791995 2956230 3350394 4434345 5025591 5583990 8375985 8868690 10051182 15076773 16751970 25127955 30153546 50255910 75383865 150767730