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120676140 = 223251323967
BaseRepresentation
bin1110011000101…
…01111100101100
322102001222112200
413030111330230
5221343114030
615550301500
72663505324
oct714257454
9272058480
10120676140
1162133852
12344b7890
131c002900
1412054284
15a8dad60
hex7315f2c

120676140 has 108 divisors (see below), whose sum is σ = 396474624. Its totient is φ = 29697408.

The previous prime is 120676133. The next prime is 120676141. The reversal of 120676140 is 41676021.

It is not an unprimeable number, because it can be changed into a prime (120676141) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 28437 + ... + 32403.

Almost surely, 2120676140 is an apocalyptic number.

120676140 is a gapful number since it is divisible by the number (10) 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 120676140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (198237312).

120676140 is an abundant number, since it is smaller than the sum of its proper divisors (275798484).

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

120676140 is a wasteful number, since it uses less digits than its factorization.

120676140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4008 (or 3990 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 120676140 is about 10985.2692274700. The cubic root of 120676140 is about 494.1670718368.

The spelling of 120676140 in words is "one hundred twenty million, six hundred seventy-six thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 13 15 18 20 26 30 36 39 45 52 60 65 78 90 117 130 156 169 180 195 234 260 338 390 468 507 585 676 780 845 1014 1170 1521 1690 2028 2340 2535 3042 3380 3967 5070 6084 7605 7934 10140 11901 15210 15868 19835 23802 30420 35703 39670 47604 51571 59505 71406 79340 103142 119010 142812 154713 178515 206284 238020 257855 309426 357030 464139 515710 618852 670423 714060 773565 928278 1031420 1340846 1547130 1856556 2011269 2320695 2681692 3094260 3352115 4022538 4641390 6033807 6704230 8045076 9282780 10056345 12067614 13408460 20112690 24135228 30169035 40225380 60338070 120676140