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100166290 = 2573192953
BaseRepresentation
bin1011111100001…
…10101010010010
320222110222022121
411332012222102
5201120310130
613534524454
72324254000
oct576065222
9228428277
10100166290
11515a5464
122966672a
13179a13c3
14d435a70
158bd8d7a
hex5f86a92

100166290 has 128 divisors (see below), whose sum is σ = 233280000. Its totient is φ = 30820608.

The previous prime is 100166279. The next prime is 100166327. The reversal of 100166290 is 92661001.

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, 1889904 + ... + 1889956.

It is an arithmetic number, because the mean of its divisors is an integer number (1822500).

Almost surely, 2100166290 is an apocalyptic number.

100166290 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

100166290 is an abundant number, since it is smaller than the sum of its proper divisors (133113710).

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

100166290 is a wasteful number, since it uses less digits than its factorization.

100166290 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 129 (or 115 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 25.

The square root of 100166290 is about 10008.3110463254. The cubic root of 100166290 is about 464.4160241498.

The spelling of 100166290 in words is "one hundred million, one hundred sixty-six thousand, two hundred ninety".

Divisors: 1 2 5 7 10 14 19 29 35 38 49 53 58 70 95 98 106 133 145 190 203 245 265 266 290 343 371 406 490 530 551 665 686 742 931 1007 1015 1102 1330 1421 1537 1715 1855 1862 2014 2030 2597 2755 2842 3074 3430 3710 3857 4655 5035 5194 5510 6517 7049 7105 7685 7714 9310 9947 10070 10759 12985 13034 14098 14210 15370 18179 19285 19894 21518 25970 26999 29203 32585 35245 36358 38570 49343 49735 53795 53998 58406 65170 70490 75313 90895 98686 99470 107590 134995 146015 150626 181790 188993 204421 246715 269990 292030 345401 376565 377986 408842 493430 527191 690802 753130 944965 1022105 1054382 1430947 1727005 1889930 2044210 2635955 2861894 3454010 5271910 7154735 10016629 14309470 20033258 50083145 100166290