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120206688 = 25371131583
BaseRepresentation
bin1110010101000…
…11010101100000
322101012010120120
413022203111200
5221233103223
615532240240
72656511550
oct712432540
9271163516
10120206688
1161943078
1234310080
131bb9a024
1411d71160
15a846be3
hex72a3560

120206688 has 96 divisors (see below), whose sum is σ = 364041216. Its totient is φ = 34019328.

The previous prime is 120206651. The next prime is 120206701. The reversal of 120206688 is 886602021.

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

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, 75145 + ... + 76727.

It is an arithmetic number, because the mean of its divisors is an integer number (3792096).

Almost surely, 2120206688 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 120206688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (182020608).

120206688 is an abundant number, since it is smaller than the sum of its proper divisors (243834528).

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

120206688 is a wasteful number, since it uses less digits than its factorization.

120206688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1716 (or 1708 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 33.

The square root of 120206688 is about 10963.8810646595. The cubic root of 120206688 is about 493.5254393462.

The spelling of 120206688 in words is "one hundred twenty million, two hundred six thousand, six hundred eighty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 84 96 112 113 168 224 226 336 339 452 672 678 791 904 1356 1582 1583 1808 2373 2712 3164 3166 3616 4746 4749 5424 6328 6332 9492 9498 10848 11081 12656 12664 18984 18996 22162 25312 25328 33243 37968 37992 44324 50656 66486 75936 75984 88648 132972 151968 177296 178879 265944 354592 357758 531888 536637 715516 1063776 1073274 1252153 1431032 2146548 2504306 2862064 3756459 4293096 5008612 5724128 7512918 8586192 10017224 15025836 17172384 20034448 30051672 40068896 60103344 120206688