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150338880 = 2632552201
BaseRepresentation
bin10001111010111…
…11110101000000
3101110220000011200
420331133311000
5301441321010
622530141200
73503600526
oct1075376500
9343800150
10150338880
117795390a
1242421800
13251ba223
1415d76316
15d2e9cc0
hex8f5fd40

150338880 has 84 divisors (see below), whose sum is σ = 517113012. Its totient is φ = 40089600.

The previous prime is 150338873. The next prime is 150338893. The reversal of 150338880 is 88833051.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 93547584 + 56791296 = 9672^2 + 7536^2 .

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 23221 + ... + 28980.

Almost surely, 2150338880 is an apocalyptic number.

150338880 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

150338880 is an abundant number, since it is smaller than the sum of its proper divisors (366774132).

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

150338880 is a wasteful number, since it uses less digits than its factorization.

150338880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52224 (or 52211 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The square root of 150338880 is about 12261.2756269484. The cubic root of 150338880 is about 531.7291100203.

The spelling of 150338880 in words is "one hundred fifty million, three hundred thirty-eight thousand, eight hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 64 72 80 90 96 120 144 160 180 192 240 288 320 360 480 576 720 960 1440 2880 52201 104402 156603 208804 261005 313206 417608 469809 522010 626412 783015 835216 939618 1044020 1252824 1566030 1670432 1879236 2088040 2349045 2505648 3132060 3340864 3758472 4176080 4698090 5011296 6264120 7516944 8352160 9396180 10022592 12528240 15033888 16704320 18792360 25056480 30067776 37584720 50112960 75169440 150338880