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120877140 = 22351726971
BaseRepresentation
bin1110011010001…
…11000001010100
322102110012021010
413031013001110
5221421032030
615554452220
72665303326
oct715070124
9272405233
10120877140
116226086a
1234594070
131c073247
14120a7616
15a92a6b0
hex7347054

120877140 has 72 divisors (see below), whose sum is σ = 359587872. Its totient is φ = 30333440.

The previous prime is 120877139. The next prime is 120877193. The reversal of 120877140 is 41778021.

It is a super-2 number, since 2×1208771402 = 29222565949159200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 120877098 and 120877107.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 13855 + ... + 20825.

It is an arithmetic number, because the mean of its divisors is an integer number (4994276).

Almost surely, 2120877140 is an apocalyptic number.

120877140 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 120877140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (179793936).

120877140 is an abundant number, since it is smaller than the sum of its proper divisors (238710732).

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

120877140 is a wasteful number, since it uses less digits than its factorization.

120877140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7017 (or 6998 counting only the distinct ones).

The product of its (nonzero) digits is 3136, while the sum is 30.

The square root of 120877140 is about 10994.4140362277. The cubic root of 120877140 is about 494.4412836935.

The spelling of 120877140 in words is "one hundred twenty million, eight hundred seventy-seven thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 17 20 30 34 51 60 68 85 102 170 204 255 289 340 510 578 867 1020 1156 1445 1734 2890 3468 4335 5780 6971 8670 13942 17340 20913 27884 34855 41826 69710 83652 104565 118507 139420 209130 237014 355521 418260 474028 592535 711042 1185070 1422084 1777605 2014619 2370140 3555210 4029238 6043857 7110420 8058476 10073095 12087714 20146190 24175428 30219285 40292380 60438570 120877140