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120161556 = 2235181683
BaseRepresentation
bin1110010100110…
…00010100010100
322101002211200000
413022120110110
5221230132211
615531251300
72656233144
oct712302424
9271084600
10120161556
1161912179
12342a9b30
131bb82618
1411d5c924
15a838656
hex7298514

120161556 has 72 divisors (see below), whose sum is σ = 317195424. Its totient is φ = 39774240.

The previous prime is 120161527. The next prime is 120161581. The reversal of 120161556 is 655161021.

It is a happy number.

It is a super-2 number, since 2×1201615562 = 28877599080682272, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 175591 + ... + 176273.

It is an arithmetic number, because the mean of its divisors is an integer number (4405492).

Almost surely, 2120161556 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 120161556, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158597712).

120161556 is an abundant number, since it is smaller than the sum of its proper divisors (197033868).

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

120161556 is a wasteful number, since it uses less digits than its factorization.

120161556 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 883 (or 869 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 27.

The square root of 120161556 is about 10961.8226586640. The cubic root of 120161556 is about 493.4636663599.

The spelling of 120161556 in words is "one hundred twenty million, one hundred sixty-one thousand, five hundred fifty-six".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 162 181 243 324 362 486 543 683 724 972 1086 1366 1629 2049 2172 2732 3258 4098 4887 6147 6516 8196 9774 12294 14661 18441 19548 24588 29322 36882 43983 55323 58644 73764 87966 110646 123623 165969 175932 221292 247246 331938 370869 494492 663876 741738 1112607 1483476 2225214 3337821 4450428 6675642 10013463 13351284 20026926 30040389 40053852 60080778 120161556