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120930192 = 24331571783
BaseRepresentation
bin1110011010100…
…11111110010000
322102112220001000
413031103332100
5221424231232
615555542000
72665614105
oct715237620
9272486030
10120930192
1162297709
12345ba900
131c091436
14120bcaac
15a93b27c
hex7353f90

120930192 has 80 divisors (see below), whose sum is σ = 349521280. Its totient is φ = 40030848.

The previous prime is 120930151. The next prime is 120930209. The reversal of 120930192 is 291039021.

It is a super-2 number, since 2×1209301922 = 29248222674313728, which contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 66933 + ... + 68715.

It is an arithmetic number, because the mean of its divisors is an integer number (4369016).

Almost surely, 2120930192 is an apocalyptic number.

120930192 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 120930192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174760640).

120930192 is an abundant number, since it is smaller than the sum of its proper divisors (228591088).

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

120930192 is a wasteful number, since it uses less digits than its factorization.

120930192 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1957 (or 1945 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 27.

The square root of 120930192 is about 10996.8264512995. The cubic root of 120930192 is about 494.5136085416.

The spelling of 120930192 in words is "one hundred twenty million, nine hundred thirty thousand, one hundred ninety-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 108 144 157 216 314 432 471 628 942 1256 1413 1783 1884 2512 2826 3566 3768 4239 5349 5652 7132 7536 8478 10698 11304 14264 16047 16956 21396 22608 28528 32094 33912 42792 48141 64188 67824 85584 96282 128376 192564 256752 279931 385128 559862 770256 839793 1119724 1679586 2239448 2519379 3359172 4478896 5038758 6718344 7558137 10077516 13436688 15116274 20155032 30232548 40310064 60465096 120930192