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120952572 = 223135314629
BaseRepresentation
bin1110011010110…
…01011011111100
322102121000201220
413031121123330
5221430440242
620000233340
72666036256
oct715313374
9272530656
10120952572
1162302504
123460b850
131c09b690
14120c6cd6
15a942bec
hex73596fc

120952572 has 48 divisors (see below), whose sum is σ = 309687840. Its totient is φ = 36511488.

The previous prime is 120952571. The next prime is 120952577. The reversal of 120952572 is 275259021.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120952571) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 954 + ... + 15582.

It is an arithmetic number, because the mean of its divisors is an integer number (6451830).

Almost surely, 2120952572 is an apocalyptic number.

120952572 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 120952572, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154843920).

120952572 is an abundant number, since it is smaller than the sum of its proper divisors (188735268).

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

120952572 is a wasteful number, since it uses less digits than its factorization.

120952572 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14702 (or 14700 counting only the distinct ones).

The product of its (nonzero) digits is 12600, while the sum is 33.

The square root of 120952572 is about 10997.8439705244. The cubic root of 120952572 is about 494.5441124539.

The spelling of 120952572 in words is "one hundred twenty million, nine hundred fifty-two thousand, five hundred seventy-two".

Divisors: 1 2 3 4 6 12 13 26 39 52 53 78 106 156 159 212 318 636 689 1378 2067 2756 4134 8268 14629 29258 43887 58516 87774 175548 190177 380354 570531 760708 775337 1141062 1550674 2282124 2326011 3101348 4652022 9304044 10079381 20158762 30238143 40317524 60476286 120952572