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122077260 = 223351811249
BaseRepresentation
bin1110100011011…
…00000001001100
322111201011112000
413101230001030
5222222433020
620040312300
73011432244
oct721540114
9274634460
10122077260
1162a004a8
1234a72690
131c3a3586
14122dab24
15aab6090
hex746c04c

122077260 has 96 divisors (see below), whose sum is σ = 382200000. Its totient is φ = 32348160.

The previous prime is 122077181. The next prime is 122077279. The reversal of 122077260 is 62770221.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 97116 + ... + 98364.

It is an arithmetic number, because the mean of its divisors is an integer number (3981250).

Almost surely, 2122077260 is an apocalyptic number.

122077260 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 122077260, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (191100000).

122077260 is an abundant number, since it is smaller than the sum of its proper divisors (260122740).

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

122077260 is a wasteful number, since it uses less digits than its factorization.

122077260 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1448 (or 1440 counting only the distinct ones).

The product of its (nonzero) digits is 2352, while the sum is 27.

The square root of 122077260 is about 11048.8578595256. The cubic root of 122077260 is about 496.0722395216.

The spelling of 122077260 in words is "one hundred twenty-two million, seventy-seven thousand, two hundred sixty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 90 108 135 180 181 270 362 540 543 724 905 1086 1249 1629 1810 2172 2498 2715 3258 3620 3747 4887 4996 5430 6245 6516 7494 8145 9774 10860 11241 12490 14988 16290 18735 19548 22482 24435 24980 32580 33723 37470 44964 48870 56205 67446 74940 97740 112410 134892 168615 224820 226069 337230 452138 674460 678207 904276 1130345 1356414 2034621 2260690 2712828 3391035 4069242 4521380 6103863 6782070 8138484 10173105 12207726 13564140 20346210 24415452 30519315 40692420 61038630 122077260