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150446080 = 21353673
BaseRepresentation
bin10001111011110…
…10000000000000
3101111002110020001
420331322000000
5302003233310
622532325344
73504525211
oct1075720000
9344073201
10150446080
1177a17404
1242473854
1325226c65
1415da3408
15d31b93a
hex8f7a000

150446080 has 56 divisors (see below), whose sum is σ = 361146852. Its totient is φ = 60162048.

The previous prime is 150446071. The next prime is 150446081. The reversal of 150446080 is 80644051.

It can be written as a sum of positive squares in 2 ways, for example, as 134189056 + 16257024 = 11584^2 + 4032^2 .

It is not an unprimeable number, because it can be changed into a prime (150446081) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 39124 + ... + 42796.

Almost surely, 2150446080 is an apocalyptic number.

150446080 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 150446080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (180573426).

150446080 is an abundant number, since it is smaller than the sum of its proper divisors (210700772).

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

150446080 is an frugal number, since it uses more digits than its factorization.

150446080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3704 (or 3680 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 28.

The square root of 150446080 is about 12265.6463343764. The cubic root of 150446080 is about 531.8554641557.

The spelling of 150446080 in words is "one hundred fifty million, four hundred forty-six thousand, eighty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 256 320 512 640 1024 1280 2048 2560 3673 4096 5120 7346 8192 10240 14692 18365 20480 29384 36730 40960 58768 73460 117536 146920 235072 293840 470144 587680 940288 1175360 1880576 2350720 3761152 4701440 7522304 9402880 15044608 18805760 30089216 37611520 75223040 150446080