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150661120 = 211514713
BaseRepresentation
bin10001111101011…
…10100000000000
3101111111101012111
420332232200000
5302032123440
622541105104
73506412151
oct1076564000
9344441174
10150661120
1178053a25
1242558194
13252a0abc
141601b928
15d3604ea
hex8fae800

150661120 has 48 divisors (see below), whose sum is σ = 361522980. Its totient is φ = 60260352.

The previous prime is 150661111. The next prime is 150661129. The reversal of 150661120 is 21166051.

It is an interprime number because it is at equal distance from previous prime (150661111) and next prime (150661129).

It can be written as a sum of positive squares in 2 ways, for example, as 150209536 + 451584 = 12256^2 + 672^2 .

It is a junction number, because it is equal to n+sod(n) for n = 150661091 and 150661100.

It is not an unprimeable number, because it can be changed into a prime (150661129) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2884 + ... + 17596.

Almost surely, 2150661120 is an apocalyptic number.

150661120 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 150661120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (180761490).

150661120 is an abundant number, since it is smaller than the sum of its proper divisors (210861860).

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

150661120 is an equidigital number, since it uses as much as digits as its factorization.

150661120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14740 (or 14720 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 22.

The square root of 150661120 is about 12274.4091507494. The cubic root of 150661120 is about 532.1087459308.

It can be divided in two parts, 1506 and 61120, that added together give a palindrome (62626).

The spelling of 150661120 in words is "one hundred fifty million, six hundred sixty-one thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 256 320 512 640 1024 1280 2048 2560 5120 10240 14713 29426 58852 73565 117704 147130 235408 294260 470816 588520 941632 1177040 1883264 2354080 3766528 4708160 7533056 9416320 15066112 18832640 30132224 37665280 75330560 150661120