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120880640 = 295232053
BaseRepresentation
bin1110011010001…
…11111000000000
322102110101001202
413031013320000
5221421140030
615554520332
72665316456
oct715077000
9272411052
10120880640
1162263461
12345960a8
131c074a0a
14120a89d6
15a92b745
hex7347e00

120880640 has 80 divisors (see below), whose sum is σ = 302578848. Its totient is φ = 46227456.

The previous prime is 120880631. The next prime is 120880649. The reversal of 120880640 is 46088021.

It is an interprime number because it is at equal distance from previous prime (120880631) and next prime (120880649).

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×1208806402 = 29224258253619200, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120880649) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 57854 + ... + 59906.

Almost surely, 2120880640 is an apocalyptic number.

120880640 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 120880640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151289424).

120880640 is an abundant number, since it is smaller than the sum of its proper divisors (181698208).

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

120880640 is an equidigital number, since it uses as much as digits as its factorization.

120880640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2099 (or 2083 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 29.

The square root of 120880640 is about 10994.5732068144. The cubic root of 120880640 is about 494.4460558332.

The spelling of 120880640 in words is "one hundred twenty million, eight hundred eighty thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 16 20 23 32 40 46 64 80 92 115 128 160 184 230 256 320 368 460 512 640 736 920 1280 1472 1840 2053 2560 2944 3680 4106 5888 7360 8212 10265 11776 14720 16424 20530 29440 32848 41060 47219 58880 65696 82120 94438 131392 164240 188876 236095 262784 328480 377752 472190 525568 656960 755504 944380 1051136 1313920 1511008 1888760 2627840 3022016 3777520 5255680 6044032 7555040 12088064 15110080 24176128 30220160 60440320 120880640