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150641370 = 23451122953
BaseRepresentation
bin10001111101010…
…01101011011010
3101111110101010000
420332221223122
5302031010440
622540433430
73506300445
oct1076515332
9344411100
10150641370
1178040100
1242548876
1325294b09
141601465c
15d359730
hex8fa9ada

150641370 has 240 divisors, whose sum is σ = 469271880. Its totient is φ = 34594560.

The previous prime is 150641333. The next prime is 150641371. The reversal of 150641370 is 73146051.

150641370 is a `hidden beast` number, since 15 + 0 + 641 + 3 + 7 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 134165889 + 16475481 = 11583^2 + 4059^2 .

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

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (150641371) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 2842264 + ... + 2842316.

Almost surely, 2150641370 is an apocalyptic number.

150641370 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 150641370, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (234635940).

150641370 is an abundant number, since it is smaller than the sum of its proper divisors (318630510).

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

150641370 is a wasteful number, since it uses less digits than its factorization.

150641370 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 123 (or 103 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 27.

The square root of 150641370 is about 12273.6046050050. The cubic root of 150641370 is about 532.0854937319.

The spelling of 150641370 in words is "one hundred fifty million, six hundred forty-one thousand, three hundred seventy".