Search a number
-
+
122928652 = 227211233767
BaseRepresentation
bin1110101001110…
…11111000001100
322120022102102001
413110323320030
5222432204102
620110442044
73021606400
oct724737014
9276272361
10122928652
1163432130
1235203324
131c610c62
141247d100
15abd3487
hex753be0c

122928652 has 144 divisors (see below), whose sum is σ = 296932608. Its totient is φ = 43908480.

The previous prime is 122928623. The next prime is 122928667. The reversal of 122928652 is 256829221.

It is a super-2 number, since 2×1229286522 = 30222906965074208, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (37).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1834723 + ... + 1834789.

It is an arithmetic number, because the mean of its divisors is an integer number (2062032).

Almost surely, 2122928652 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 122928652, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148466304).

122928652 is an abundant number, since it is smaller than the sum of its proper divisors (174003956).

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

122928652 is a wasteful number, since it uses less digits than its factorization.

122928652 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 156 (or 147 counting only the distinct ones).

The product of its digits is 34560, while the sum is 37.

The square root of 122928652 is about 11087.3194235577. The cubic root of 122928652 is about 497.2228056093. Note that the first 3 decimals are identical.

The spelling of 122928652 in words is "one hundred twenty-two million, nine hundred twenty-eight thousand, six hundred fifty-two".

Divisors: 1 2 4 7 11 14 22 23 28 37 44 46 49 67 74 77 92 98 134 148 154 161 196 253 259 268 308 322 407 469 506 518 539 644 737 814 851 938 1012 1036 1078 1127 1474 1541 1628 1702 1771 1813 1876 2156 2254 2479 2849 2948 3082 3283 3404 3542 3626 4508 4958 5159 5698 5957 6164 6566 7084 7252 9361 9916 10318 10787 11396 11914 12397 13132 16951 17353 18722 19943 20636 21574 23828 24794 27269 33902 34706 36113 37444 39886 41699 43148 49588 54538 57017 65527 67804 69412 72226 75509 79772 83398 109076 114034 118657 121471 131054 144452 151018 166796 190883 228068 237314 242942 262108 302036 381766 399119 458689 474628 485884 627187 763532 798238 830599 917378 1254374 1336181 1596476 1661198 1834756 2508748 2672362 2793833 3322396 4390309 5344724 5587666 8780618 11175332 17561236 30732163 61464326 122928652