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150425600 = 2125213113
BaseRepresentation
bin10001111011101…
…01000000000000
3101111001102010112
420331311000000
5302002104400
622532050452
73504411413
oct1075650000
9344042115
10150425600
1177a02a86
1242463a28
132521a840
1415d99b7a
15d315835
hex8f75000

150425600 has 156 divisors (see below), whose sum is σ = 405257916. Its totient is φ = 55050240.

The previous prime is 150425579. The next prime is 150425617. The reversal of 150425600 is 6524051.

It can be written as a sum of positive squares in 6 ways, for example, as 57032704 + 93392896 = 7552^2 + 9664^2 .

It is a super-2 number, since 2×1504256002 = 45255722270720000, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1331144 + ... + 1331256.

Almost surely, 2150425600 is an apocalyptic number.

150425600 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 150425600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (202628958).

150425600 is an abundant number, since it is smaller than the sum of its proper divisors (254832316).

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

150425600 is a wasteful number, since it uses less digits than its factorization.

150425600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 160 (or 133 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 23.

The square root of 150425600 is about 12264.8114539116. The cubic root of 150425600 is about 531.8313294974.

Adding to 150425600 its reverse (6524051), we get a palindrome (156949651).

The spelling of 150425600 in words is "one hundred fifty million, four hundred twenty-five thousand, six hundred".

Divisors: 1 2 4 5 8 10 13 16 20 25 26 32 40 50 52 64 65 80 100 104 113 128 130 160 200 208 226 256 260 320 325 400 416 452 512 520 565 640 650 800 832 904 1024 1040 1130 1280 1300 1469 1600 1664 1808 2048 2080 2260 2560 2600 2825 2938 3200 3328 3616 4096 4160 4520 5120 5200 5650 5876 6400 6656 7232 7345 8320 9040 10240 10400 11300 11752 12800 13312 14464 14690 16640 18080 20480 20800 22600 23504 25600 26624 28928 29380 33280 36160 36725 41600 45200 47008 51200 53248 57856 58760 66560 72320 73450 83200 90400 94016 102400 115712 117520 133120 144640 146900 166400 180800 188032 231424 235040 266240 289280 293800 332800 361600 376064 462848 470080 578560 587600 665600 723200 752128 940160 1157120 1175200 1331200 1446400 1504256 1880320 2314240 2350400 2892800 3008512 3760640 4700800 5785600 6017024 7521280 9401600 11571200 15042560 18803200 30085120 37606400 75212800 150425600