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150501060 = 22325836117
BaseRepresentation
bin10001111100001…
…11011011000100
3101111012020122100
420332013123010
5302012013220
622533432100
73505144413
oct1076073304
9344166570
10150501060
1177a54746
124249b630
1325245ca8
1415db947a
15d32cd90
hex8f876c4

150501060 has 36 divisors (see below), whose sum is σ = 456520428. Its totient is φ = 40133568.

The previous prime is 150500953. The next prime is 150501061. The reversal of 150501060 is 60105051.

150501060 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 88059456 + 62441604 = 9384^2 + 7902^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×1505010602 = 45301138122247200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (150501061) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 417879 + ... + 418238.

It is an arithmetic number, because the mean of its divisors is an integer number (12681123).

Almost surely, 2150501060 is an apocalyptic number.

150501060 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

150501060 is an abundant number, since it is smaller than the sum of its proper divisors (306019368).

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

150501060 is a wasteful number, since it uses less digits than its factorization.

150501060 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 836132 (or 836127 counting only the distinct ones).

The product of its (nonzero) digits is 150, while the sum is 18.

The square root of 150501060 is about 12267.8873486840. The cubic root of 150501060 is about 531.9202445122.

It can be divided in two parts, 15050 and 1060, that added together give a triangular number (16110 = T179).

The spelling of 150501060 in words is "one hundred fifty million, five hundred one thousand, sixty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 836117 1672234 2508351 3344468 4180585 5016702 7525053 8361170 10033404 12541755 15050106 16722340 25083510 30100212 37625265 50167020 75250530 150501060