Search a number
-
+
115559820 = 2232523103271
BaseRepresentation
bin1101110001101…
…00110110001100
322001110001021100
412320310312030
5214040403240
615244503100
72602146045
oct670646614
9261401240
10115559820
115a259892
123284aa90
131ac30bbc
14114c18cc
15a229e30
hex6e34d8c

115559820 has 144 divisors (see below), whose sum is σ = 370685952. Its totient is φ = 29082240.

The previous prime is 115559783. The next prime is 115559831. The reversal of 115559820 is 28955511.

It is a happy number.

115559820 is a `hidden beast` number, since 11 + 55 + 598 + 2 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 426285 + ... + 426555.

It is an arithmetic number, because the mean of its divisors is an integer number (2574208).

Almost surely, 2115559820 is an apocalyptic number.

115559820 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 115559820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (185342976).

115559820 is an abundant number, since it is smaller than the sum of its proper divisors (255126132).

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

115559820 is a wasteful number, since it uses less digits than its factorization.

115559820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 412 (or 407 counting only the distinct ones).

The product of its (nonzero) digits is 18000, while the sum is 36.

The square root of 115559820 is about 10749.8753481145. The cubic root of 115559820 is about 487.0822298593.

The spelling of 115559820 in words is "one hundred fifteen million, five hundred fifty-nine thousand, eight hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 23 30 36 45 46 60 69 90 92 103 115 138 180 206 207 230 271 276 309 345 412 414 460 515 542 618 690 813 828 927 1030 1035 1084 1236 1355 1380 1545 1626 1854 2060 2070 2369 2439 2710 3090 3252 3708 4065 4140 4635 4738 4878 5420 6180 6233 7107 8130 9270 9476 9756 11845 12195 12466 14214 16260 18540 18699 21321 23690 24390 24932 27913 28428 31165 35535 37398 42642 47380 48780 55826 56097 62330 71070 74796 83739 85284 93495 106605 111652 112194 124660 139565 142140 167478 186990 213210 224388 251217 279130 280485 334956 373980 418695 426420 502434 558260 560970 641999 837390 1004868 1121940 1256085 1283998 1674780 1925997 2512170 2567996 3209995 3851994 5024340 5777991 6419990 7703988 9629985 11555982 12839980 19259970 23111964 28889955 38519940 57779910 115559820