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290124198 = 232721325303
BaseRepresentation
bin10001010010101…
…111000110100110
3202012220211120200
4101102233012212
51043232433243
644442211330
710122005100
oct2122570646
9665824520
10290124198
11139849671
12811b3b46
1348150930
142a762570
151a70cad3
hex114af1a6

290124198 has 72 divisors (see below), whose sum is σ = 787511088. Its totient is φ = 76513248.

The previous prime is 290124179. The next prime is 290124209. The reversal of 290124198 is 891421092.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1186 + ... + 24117.

It is an arithmetic number, because the mean of its divisors is an integer number (10937654).

Almost surely, 2290124198 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 290124198, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (393755544).

290124198 is an abundant number, since it is smaller than the sum of its proper divisors (497386890).

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

290124198 is a wasteful number, since it uses less digits than its factorization.

290124198 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25338 (or 25328 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 36.

The square root of 290124198 is about 17033.0325544220. The cubic root of 290124198 is about 662.0050732384.

The spelling of 290124198 in words is "two hundred ninety million, one hundred twenty-four thousand, one hundred ninety-eight".

Divisors: 1 2 3 6 7 9 13 14 18 21 26 39 42 49 63 78 91 98 117 126 147 182 234 273 294 441 546 637 819 882 1274 1638 1911 3822 5733 11466 25303 50606 75909 151818 177121 227727 328939 354242 455454 531363 657878 986817 1062726 1239847 1594089 1973634 2302573 2479694 2960451 3188178 3719541 4605146 5920902 6907719 7439082 11158623 13815438 16118011 20723157 22317246 32236022 41446314 48354033 96708066 145062099 290124198