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150214560 = 2535373839
BaseRepresentation
bin10001111010000…
…01011110100000
3101110122200122020
420331001132200
5301423331220
622523341440
73502542216
oct1075013640
9343580566
10150214560
1177879471
1242381880
1325175772
1415d42cb6
15d2c3040
hex8f417a0

150214560 has 96 divisors (see below), whose sum is σ = 475009920. Its totient is φ = 39902208.

The previous prime is 150214549. The next prime is 150214583. The reversal of 150214560 is 65412051.

150214560 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 150214560.

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, 178621 + ... + 179459.

It is an arithmetic number, because the mean of its divisors is an integer number (4948020).

Almost surely, 2150214560 is an apocalyptic number.

150214560 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 150214560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (237504960).

150214560 is an abundant number, since it is smaller than the sum of its proper divisors (324795360).

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

150214560 is a wasteful number, since it uses less digits than its factorization.

150214560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1230 (or 1222 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 24.

The square root of 150214560 is about 12256.2049591217. The cubic root of 150214560 is about 531.5825016986.

The spelling of 150214560 in words is "one hundred fifty million, two hundred fourteen thousand, five hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 120 160 240 373 480 746 839 1119 1492 1678 1865 2238 2517 2984 3356 3730 4195 4476 5034 5595 5968 6712 7460 8390 8952 10068 11190 11936 12585 13424 14920 16780 17904 20136 22380 25170 26848 29840 33560 35808 40272 44760 50340 59680 67120 80544 89520 100680 134240 179040 201360 312947 402720 625894 938841 1251788 1564735 1877682 2503576 3129470 3755364 4694205 5007152 6258940 7510728 9388410 10014304 12517880 15021456 18776820 25035760 30042912 37553640 50071520 75107280 150214560