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90343680 = 283573361
BaseRepresentation
bin1010110001010…
…00100100000000
320021222221020020
411120220210000
5141111444210
612544213440
72144623440
oct530504400
9207887206
1090343680
1146aa65a9
122630a280
13159424cb
14bdda120
157de8770
hex5628900

90343680 has 144 divisors (see below), whose sum is σ = 329852544. Its totient is φ = 20643840.

The previous prime is 90343679. The next prime is 90343681. The reversal of 90343680 is 8634309.

It is an interprime number because it is at equal distance from previous prime (90343679) and next prime (90343681).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (90343681) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 25200 + ... + 28560.

Almost surely, 290343680 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 90343680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164926272).

90343680 is an abundant number, since it is smaller than the sum of its proper divisors (239508864).

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

90343680 is a wasteful number, since it uses less digits than its factorization.

90343680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3392 (or 3378 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 33.

The square root of 90343680 is about 9504.9292475010. The cubic root of 90343680 is about 448.7101831252.

Adding to 90343680 its reverse (8634309), we get a palindrome (98977989).

The spelling of 90343680 in words is "ninety million, three hundred forty-three thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 28 30 32 35 40 42 48 56 60 64 70 80 84 96 105 112 120 128 140 160 168 192 210 224 240 256 280 320 336 384 420 448 480 560 640 672 768 840 896 960 1120 1280 1344 1680 1792 1920 2240 2688 3360 3361 3840 4480 5376 6720 6722 8960 10083 13440 13444 16805 20166 23527 26880 26888 33610 40332 47054 50415 53776 67220 70581 80664 94108 100830 107552 117635 134440 141162 161328 188216 201660 215104 235270 268880 282324 322656 352905 376432 403320 430208 470540 537760 564648 645312 705810 752864 806640 860416 941080 1075520 1129296 1290624 1411620 1505728 1613280 1882160 2151040 2258592 2581248 2823240 3011456 3226560 3764320 4302080 4517184 5646480 6022912 6453120 7528640 9034368 11292960 12906240 15057280 18068736 22585920 30114560 45171840 90343680