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120102240 = 2535534721
BaseRepresentation
bin1110010100010…
…01110101100000
322100222211022010
413022021311200
5221221232430
615530112520
72655565206
oct712116540
9270884263
10120102240
1161881655
123427b740
131bb6161b
1411d45076
15a825cb0
hex7289d60

120102240 has 96 divisors (see below), whose sum is σ = 385541856. Its totient is φ = 31416320.

The previous prime is 120102239. The next prime is 120102319. The reversal of 120102240 is 42201021.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

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, 23080 + ... + 27800.

It is an arithmetic number, because the mean of its divisors is an integer number (4016061).

Almost surely, 2120102240 is an apocalyptic number.

120102240 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 120102240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (192770928).

120102240 is an abundant number, since it is smaller than the sum of its proper divisors (265439616).

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

120102240 is a wasteful number, since it uses less digits than its factorization.

120102240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4792 (or 4784 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

The square root of 120102240 is about 10959.1167527315. The cubic root of 120102240 is about 493.3824559478.

Adding to 120102240 its reverse (42201021), we get a palindrome (162303261).

The spelling of 120102240 in words is "one hundred twenty million, one hundred two thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 53 60 80 96 106 120 159 160 212 240 265 318 424 480 530 636 795 848 1060 1272 1590 1696 2120 2544 3180 4240 4721 5088 6360 8480 9442 12720 14163 18884 23605 25440 28326 37768 47210 56652 70815 75536 94420 113304 141630 151072 188840 226608 250213 283260 377680 453216 500426 566520 750639 755360 1000852 1133040 1251065 1501278 2001704 2266080 2502130 3002556 3753195 4003408 5004260 6005112 7506390 8006816 10008520 12010224 15012780 20017040 24020448 30025560 40034080 60051120 120102240