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150073560 = 23345713509
BaseRepresentation
bin10001111000111…
…11000011011000
3101110101112020000
420330133003120
5301404323220
622520333000
73501414150
oct1074370330
9343345200
10150073560
117779253a
1242314160
1325126530
1415d07760
15d296390
hex8f1f0d8

150073560 has 320 divisors, whose sum is σ = 622036800. Its totient is φ = 31601664.

The previous prime is 150073537. The next prime is 150073589. The reversal of 150073560 is 65370051.

150073560 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1500735602 = 45044146822147200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 294586 + ... + 295094.

It is an arithmetic number, because the mean of its divisors is an integer number (1943865).

Almost surely, 2150073560 is an apocalyptic number.

150073560 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 150073560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (311018400).

150073560 is an abundant number, since it is smaller than the sum of its proper divisors (471963240).

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

150073560 is a wasteful number, since it uses less digits than its factorization.

150073560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 552 (or 539 counting only the distinct ones).

The product of its (nonzero) digits is 3150, while the sum is 27.

The square root of 150073560 is about 12250.4514202539. The cubic root of 150073560 is about 531.4161250244.

The spelling of 150073560 in words is "one hundred fifty million, seventy-three thousand, five hundred sixty".