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150891328 = 267379103
BaseRepresentation
bin10001111111001…
…10101101000000
3101111221001222201
420333212231000
5302112010303
622550042544
73511361260
oct1077465500
9344831881
10150891328
11781a0985
1242649454
1325351813
141607b7a0
15d3a881d
hex8fe6b40

150891328 has 56 divisors (see below), whose sum is σ = 351487232. Its totient is φ = 62913024.

The previous prime is 150891317. The next prime is 150891329. The reversal of 150891328 is 823198051.

150891328 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (56).

It is a Harshad number since it is a multiple of its sum of digits (37).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (150891329) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 12025 + ... + 21127.

Almost surely, 2150891328 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 150891328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (175743616).

150891328 is an abundant number, since it is smaller than the sum of its proper divisors (200595904).

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

150891328 is an equidigital number, since it uses as much as digits as its factorization.

150891328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9159 (or 9149 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 37.

The square root of 150891328 is about 12283.7831306157. The cubic root of 150891328 is about 532.3796261520.

The spelling of 150891328 in words is "one hundred fifty million, eight hundred ninety-one thousand, three hundred twenty-eight".

Divisors: 1 2 4 7 8 14 16 28 32 37 56 64 74 112 148 224 259 296 448 518 592 1036 1184 2072 2368 4144 8288 9103 16576 18206 36412 63721 72824 127442 145648 254884 291296 336811 509768 582592 673622 1019536 1347244 2039072 2357677 2694488 4078144 4715354 5388976 9430708 10777952 18861416 21555904 37722832 75445664 150891328