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290451096 = 2337131277
BaseRepresentation
bin10001010011111…
…110111010011000
3202020112110000000
4101103332322120
51043323413341
644453213000
710124536125
oct2123767230
9666473000
10290451096
11139a52231
1281331160
1348236670
142a80974c
151a7748b6
hex114fee98

290451096 has 128 divisors (see below), whose sum is σ = 880286400. Its totient is φ = 89299584.

The previous prime is 290451089. The next prime is 290451143. The reversal of 290451096 is 690154092.

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

It is a self number, because there is not a number n which added to its sum of digits gives 290451096.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 226810 + ... + 228086.

Almost surely, 2290451096 is an apocalyptic number.

290451096 is a gapful number since it is divisible by the number (26) 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 290451096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (440143200).

290451096 is an abundant number, since it is smaller than the sum of its proper divisors (589835304).

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

290451096 is a wasteful number, since it uses less digits than its factorization.

290451096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1317 (or 1295 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 36.

The square root of 290451096 is about 17042.6258540167. The cubic root of 290451096 is about 662.2536184101.

The spelling of 290451096 in words is "two hundred ninety million, four hundred fifty-one thousand, ninety-six".

Divisors: 1 2 3 4 6 8 9 12 13 18 24 26 27 36 39 52 54 72 78 81 104 108 117 156 162 216 234 243 312 324 351 468 486 648 702 729 936 972 1053 1277 1404 1458 1944 2106 2187 2554 2808 2916 3159 3831 4212 4374 5108 5832 6318 7662 8424 8748 9477 10216 11493 12636 15324 16601 17496 18954 22986 25272 28431 30648 33202 34479 37908 45972 49803 56862 66404 68958 75816 91944 99606 103437 113724 132808 137916 149409 199212 206874 227448 275832 298818 310311 398424 413748 448227 597636 620622 827496 896454 930933 1195272 1241244 1344681 1792908 1861866 2482488 2689362 2792799 3585816 3723732 4034043 5378724 5585598 7447464 8068086 10757448 11171196 12102129 16136172 22342392 24204258 32272344 36306387 48408516 72612774 96817032 145225548 290451096