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120868380 = 223253121661
BaseRepresentation
bin1110011010001…
…00111000011100
322102102202020200
413031010320130
5221420242010
615554343500
72665235643
oct715047034
9272382220
10120868380
1162255226
123458ab90
131c06c269
14120a435a
15a927cc0
hex7344e1c

120868380 has 72 divisors (see below), whose sum is σ = 378478464. Its totient is φ = 31190400.

The previous prime is 120868379. The next prime is 120868409. The reversal of 120868380 is 83868021.

120868380 is nontrivially palindromic in base 11.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5251 + ... + 16410.

Almost surely, 2120868380 is an apocalyptic number.

120868380 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

120868380 is an abundant number, since it is smaller than the sum of its proper divisors (257610084).

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

120868380 is a wasteful number, since it uses less digits than its factorization.

120868380 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21707 (or 21702 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

The square root of 120868380 is about 10994.0156448861. The cubic root of 120868380 is about 494.4293393058.

The spelling of 120868380 in words is "one hundred twenty million, eight hundred sixty-eight thousand, three hundred eighty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 31 36 45 60 62 90 93 124 155 180 186 279 310 372 465 558 620 930 1116 1395 1860 2790 5580 21661 43322 64983 86644 108305 129966 194949 216610 259932 324915 389898 433220 649830 671491 779796 974745 1299660 1342982 1949490 2014473 2685964 3357455 3898980 4028946 6043419 6714910 8057892 10072365 12086838 13429820 20144730 24173676 30217095 40289460 60434190 120868380