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150670872 = 2332111031847
BaseRepresentation
bin10001111101100…
…00111000011000
3101111111212120200
420332300320120
5302032431442
622541222200
73506452452
oct1076607030
9344455520
10150670872
1178060290
1242561960
13252a5381
14160212d2
15d36334c
hex8fb0e18

150670872 has 96 divisors (see below), whose sum is σ = 449729280. Its totient is φ = 45190080.

The previous prime is 150670853. The next prime is 150670879. The reversal of 150670872 is 278076051.

150670872 is a `hidden beast` number, since 1 + 506 + 70 + 87 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (150670879) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 80653 + ... + 82499.

It is an arithmetic number, because the mean of its divisors is an integer number (4684680).

Almost surely, 2150670872 is an apocalyptic number.

150670872 is a gapful number since it is divisible by the number (12) 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 150670872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (224864640).

150670872 is an abundant number, since it is smaller than the sum of its proper divisors (299058408).

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

150670872 is a wasteful number, since it uses less digits than its factorization.

150670872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1973 (or 1966 counting only the distinct ones).

The product of its (nonzero) digits is 23520, while the sum is 36.

The square root of 150670872 is about 12274.8063935852. The cubic root of 150670872 is about 532.1202264696.

The spelling of 150670872 in words is "one hundred fifty million, six hundred seventy thousand, eight hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 11 12 18 22 24 33 36 44 66 72 88 99 103 132 198 206 264 309 396 412 618 792 824 927 1133 1236 1847 1854 2266 2472 3399 3694 3708 4532 5541 6798 7388 7416 9064 10197 11082 13596 14776 16623 20317 20394 22164 27192 33246 40634 40788 44328 60951 66492 81268 81576 121902 132984 162536 182853 190241 243804 365706 380482 487608 570723 731412 760964 1141446 1462824 1521928 1712169 2092651 2282892 3424338 4185302 4565784 6277953 6848676 8370604 12555906 13697352 16741208 18833859 25111812 37667718 50223624 75335436 150670872