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120754152 = 2334307607
BaseRepresentation
bin1110011001010…
…00111111101000
322102012221120000
413030220333220
5221403113102
615552103000
72664251631
oct714507750
9272187500
10120754152
1162187422
1234534a60
131c02c27c
1412074888
15a90401c
hex7328fe8

120754152 has 80 divisors (see below), whose sum is σ = 339884160. Its totient is φ = 40054176.

The previous prime is 120754141. The next prime is 120754159. The reversal of 120754152 is 251457021.

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

It is not an unprimeable number, because it can be changed into a prime (120754159) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 198633 + ... + 199239.

It is an arithmetic number, because the mean of its divisors is an integer number (4248552).

Almost surely, 2120754152 is an apocalyptic number.

120754152 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 120754152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169942080).

120754152 is an abundant number, since it is smaller than the sum of its proper divisors (219130008).

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

120754152 is a wasteful number, since it uses less digits than its factorization.

120754152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 932 (or 919 counting only the distinct ones).

The product of its (nonzero) digits is 2800, while the sum is 27.

The square root of 120754152 is about 10988.8194088355. The cubic root of 120754152 is about 494.2735349078.

The spelling of 120754152 in words is "one hundred twenty million, seven hundred fifty-four thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 81 108 162 216 307 324 607 614 648 921 1214 1228 1821 1842 2428 2456 2763 3642 3684 4856 5463 5526 7284 7368 8289 10926 11052 14568 16389 16578 21852 22104 24867 32778 33156 43704 49167 49734 65556 66312 98334 99468 131112 186349 196668 198936 372698 393336 559047 745396 1118094 1490792 1677141 2236188 3354282 4472376 5031423 6708564 10062846 13417128 15094269 20125692 30188538 40251384 60377076 120754152