Search a number
-
+
150371240 = 23523732239
BaseRepresentation
bin10001111011001…
…11101110101000
3101110221122120012
420331213232220
5301443334430
622530551052
73504064055
oct1075475650
9343848505
10150371240
1177976158
1242438488
13251cbb86
1415d8402c
15d304695
hex8f67ba8

150371240 has 64 divisors (see below), whose sum is σ = 358041600. Its totient is φ = 56719872.

The previous prime is 150371213. The next prime is 150371251. The reversal of 150371240 is 42173051.

It is a super-2 number, since 2×1503712402 = 45223019638275200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (23).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 66041 + ... + 68279.

It is an arithmetic number, because the mean of its divisors is an integer number (5594400).

Almost surely, 2150371240 is an apocalyptic number.

150371240 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 150371240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (179020800).

150371240 is an abundant number, since it is smaller than the sum of its proper divisors (207670360).

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

150371240 is a wasteful number, since it uses less digits than its factorization.

150371240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2346 (or 2342 counting only the distinct ones).

The product of its (nonzero) digits is 840, while the sum is 23.

The square root of 150371240 is about 12262.5951576328. The cubic root of 150371240 is about 531.7672583237.

The spelling of 150371240 in words is "one hundred fifty million, three hundred seventy-one thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 20 23 40 46 73 92 115 146 184 230 292 365 460 584 730 920 1460 1679 2239 2920 3358 4478 6716 8395 8956 11195 13432 16790 17912 22390 33580 44780 51497 67160 89560 102994 163447 205988 257485 326894 411976 514970 653788 817235 1029940 1307576 1634470 2059880 3268940 3759281 6537880 7518562 15037124 18796405 30074248 37592810 75185620 150371240