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120652032 = 2831271237
BaseRepresentation
bin1110011000100…
…00000100000000
322102000202110210
413030100010000
5221341331112
615545554120
72663345124
oct714200400
9272022423
10120652032
1162117726
12344a5940
131bcc4947
1412049584
15a8d3b3c
hex7310100

120652032 has 72 divisors (see below), whose sum is σ = 323900416. Its totient is φ = 39868416.

The previous prime is 120652027. The next prime is 120652057. The reversal of 120652032 is 230256021.

It is a super-3 number, since 3×1206520323 (a number of 25 digits) contains 333 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 96918 + ... + 98154.

Almost surely, 2120652032 is an apocalyptic number.

120652032 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 120652032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161950208).

120652032 is an abundant number, since it is smaller than the sum of its proper divisors (203248384).

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

120652032 is a wasteful number, since it uses less digits than its factorization.

120652032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1383 (or 1369 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 21.

The square root of 120652032 is about 10984.1718850353. The cubic root of 120652032 is about 494.1341623398.

The spelling of 120652032 in words is "one hundred twenty million, six hundred fifty-two thousand, thirty-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 127 128 192 254 256 381 384 508 762 768 1016 1237 1524 2032 2474 3048 3711 4064 4948 6096 7422 8128 9896 12192 14844 16256 19792 24384 29688 32512 39584 48768 59376 79168 97536 118752 157099 158336 237504 314198 316672 471297 475008 628396 942594 950016 1256792 1885188 2513584 3770376 5027168 7540752 10054336 15081504 20108672 30163008 40217344 60326016 120652032