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290683640 = 235134311297
BaseRepresentation
bin10001010100110…
…111101011111000
3202020222020222202
4101110313223320
51043403334030
644502205332
710126525112
oct2124675370
9666866882
10290683640
1113a0a0a15
1281423848
13482b8470
142a86a3b2
151a7bd745
hex11537af8

290683640 has 64 divisors (see below), whose sum is σ = 706527360. Its totient is φ = 106997760.

The previous prime is 290683639. The next prime is 290683651. The reversal of 290683640 is 46386092.

It is a hoax number, since the sum of its digits (38) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 290683594 and 290683603.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 223472 + ... + 224768.

It is an arithmetic number, because the mean of its divisors is an integer number (11039490).

Almost surely, 2290683640 is an apocalyptic number.

290683640 is a gapful number since it is divisible by the number (20) 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 290683640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (353263680).

290683640 is an abundant number, since it is smaller than the sum of its proper divisors (415843720).

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

290683640 is a wasteful number, since it uses less digits than its factorization.

290683640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1752 (or 1748 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 38.

The square root of 290683640 is about 17049.4469118502. The cubic root of 290683640 is about 662.4303114071.

The spelling of 290683640 in words is "two hundred ninety million, six hundred eighty-three thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 13 20 26 40 52 65 104 130 260 431 520 862 1297 1724 2155 2594 3448 4310 5188 5603 6485 8620 10376 11206 12970 16861 17240 22412 25940 28015 33722 44824 51880 56030 67444 84305 112060 134888 168610 224120 337220 559007 674440 1118014 2236028 2795035 4472056 5590070 7267091 11180140 14534182 22360280 29068364 36335455 58136728 72670910 145341820 290683640