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120431340 = 22335832687
BaseRepresentation
bin1110010110110…
…10001011101100
322101121112202000
413023122023230
5221312300330
615541132300
72661435531
oct713321354
9271545660
10120431340
1161a86937
12343ba090
131bc48363
1411dccd88
15a88d560
hex72da2ec

120431340 has 96 divisors (see below), whose sum is σ = 379330560. Its totient is φ = 31716288.

The previous prime is 120431327. The next prime is 120431351. The reversal of 120431340 is 43134021.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 43477 + ... + 46163.

It is an arithmetic number, because the mean of its divisors is an integer number (3951360).

Almost surely, 2120431340 is an apocalyptic number.

120431340 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 120431340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (189665280).

120431340 is an abundant number, since it is smaller than the sum of its proper divisors (258899220).

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

120431340 is a wasteful number, since it uses less digits than its factorization.

120431340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2788 (or 2780 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 120431340 is about 10974.1213771308. The cubic root of 120431340 is about 493.8326947964.

Adding to 120431340 its reverse (43134021), we get a palindrome (163565361).

The spelling of 120431340 in words is "one hundred twenty million, four hundred thirty-one thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 83 90 108 135 166 180 249 270 332 415 498 540 747 830 996 1245 1494 1660 2241 2490 2687 2988 3735 4482 4980 5374 7470 8061 8964 10748 11205 13435 14940 16122 22410 24183 26870 32244 40305 44820 48366 53740 72549 80610 96732 120915 145098 161220 223021 241830 290196 362745 446042 483660 669063 725490 892084 1115105 1338126 1450980 2007189 2230210 2676252 3345315 4014378 4460420 6021567 6690630 8028756 10035945 12043134 13381260 20071890 24086268 30107835 40143780 60215670 120431340