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150683540 = 22572115101
BaseRepresentation
bin10001111101100…
…11111110010100
3101111112111221212
420332303332110
5302033333130
622541400552
73506534420
oct1076637624
9344474855
10150683540
1178069857
1242569158
13252ab077
1416025b80
15d366e95
hex8fb3f94

150683540 has 48 divisors (see below), whose sum is σ = 363425664. Its totient is φ = 51408000.

The previous prime is 150683503. The next prime is 150683549. The reversal of 150683540 is 45386051.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 150683497 and 150683506.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (150683549) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 26990 + ... + 32090.

It is an arithmetic number, because the mean of its divisors is an integer number (7571368).

Almost surely, 2150683540 is an apocalyptic number.

150683540 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 150683540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (181712832).

150683540 is an abundant number, since it is smaller than the sum of its proper divisors (212742124).

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

150683540 is a wasteful number, since it uses less digits than its factorization.

150683540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5328 (or 5326 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 32.

The square root of 150683540 is about 12275.3223990248. The cubic root of 150683540 is about 532.1351391289.

The spelling of 150683540 in words is "one hundred fifty million, six hundred eighty-three thousand, five hundred forty".

Divisors: 1 2 4 5 7 10 14 20 28 35 70 140 211 422 844 1055 1477 2110 2954 4220 5101 5908 7385 10202 14770 20404 25505 29540 35707 51010 71414 102020 142828 178535 357070 714140 1076311 2152622 4305244 5381555 7534177 10763110 15068354 21526220 30136708 37670885 75341770 150683540