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150936320 = 285373187
BaseRepresentation
bin10001111111100…
…01101100000000
3101112000100201002
420333301230000
5302114430240
622551031132
73511636403
oct1077615400
9345010632
10150936320
1178221767
124266b4a8
1325369142
141608dd3a
15d3b6d15
hex8ff1b00

150936320 has 72 divisors (see below), whose sum is σ = 371427504. Its totient is φ = 58724352.

The previous prime is 150936287. The next prime is 150936343. The reversal of 150936320 is 23639051.

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 7 ways as a sum of consecutive naturals, for example, 45767 + ... + 48953.

Almost surely, 2150936320 is an apocalyptic number.

150936320 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 150936320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (185713752).

150936320 is an abundant number, since it is smaller than the sum of its proper divisors (220491184).

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

150936320 is an equidigital number, since it uses as much as digits as its factorization.

150936320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3245 (or 3231 counting only the distinct ones).

The product of its (nonzero) digits is 4860, while the sum is 29.

The square root of 150936320 is about 12285.6143517530. The cubic root of 150936320 is about 532.4325349664.

The spelling of 150936320 in words is "one hundred fifty million, nine hundred thirty-six thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 37 40 64 74 80 128 148 160 185 256 296 320 370 592 640 740 1184 1280 1480 2368 2960 3187 4736 5920 6374 9472 11840 12748 15935 23680 25496 31870 47360 50992 63740 101984 117919 127480 203968 235838 254960 407936 471676 509920 589595 815872 943352 1019840 1179190 1886704 2039680 2358380 3773408 4079360 4716760 7546816 9433520 15093632 18867040 30187264 37734080 75468160 150936320