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92288130 = 235111941359
BaseRepresentation
bin1011000000000…
…11010010000010
320102122201111220
411200003102002
5142111210010
613054015510
72200302414
oct540032202
9212581456
1092288130
1148104490
1226aa7596
131617357c
14c3849b4
15817e970
hex5803482

92288130 has 128 divisors (see below), whose sum is σ = 261273600. Its totient is φ = 20620800.

The previous prime is 92288129. The next prime is 92288197. The reversal of 92288130 is 3188229.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 92288091 and 92288100.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 256891 + ... + 257249.

It is an arithmetic number, because the mean of its divisors is an integer number (2041200).

Almost surely, 292288130 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 92288130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130636800).

92288130 is an abundant number, since it is smaller than the sum of its proper divisors (168985470).

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

92288130 is a wasteful number, since it uses less digits than its factorization.

92288130 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 440.

The product of its (nonzero) digits is 6912, while the sum is 33.

The square root of 92288130 is about 9606.6711195918. The cubic root of 92288130 is about 451.9065284307.

The spelling of 92288130 in words is "ninety-two million, two hundred eighty-eight thousand, one hundred thirty".

Divisors: 1 2 3 5 6 10 11 15 19 22 30 33 38 41 55 57 66 82 95 110 114 123 165 190 205 209 246 285 330 359 410 418 451 570 615 627 718 779 902 1045 1077 1230 1254 1353 1558 1795 2090 2154 2255 2337 2706 3135 3590 3895 3949 4510 4674 5385 6270 6765 6821 7790 7898 8569 10770 11685 11847 13530 13642 14719 17138 19745 20463 23370 23694 25707 29438 34105 39490 40926 42845 44157 51414 59235 68210 73595 75031 85690 88314 102315 118470 128535 147190 150062 161909 204630 220785 225093 257070 279661 323818 375155 441570 450186 485727 559322 750310 809545 838983 971454 1125465 1398305 1619090 1677966 2250930 2428635 2796610 3076271 4194915 4857270 6152542 8389830 9228813 15381355 18457626 30762710 46144065 92288130