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93999690 = 2355101383
BaseRepresentation
bin1011001101001…
…01001001001010
320112212200100000
411212211021022
5143030442230
613154423430
72220661401
oct546451112
9215780300
1093999690
11490733a4
1227591b76
1316622625
14c6ac638
1583bbb60
hex59a524a

93999690 has 96 divisors (see below), whose sum is σ = 256628736. Its totient is φ = 24753600.

The previous prime is 93999679. The next prime is 93999739. The reversal of 93999690 is 9699939.

It is a super-2 number, since 2×939996902 = 17671883440192200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 245239 + ... + 245621.

It is an arithmetic number, because the mean of its divisors is an integer number (2673216).

Almost surely, 293999690 is an apocalyptic number.

93999690 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 93999690, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128314368).

93999690 is an abundant number, since it is smaller than the sum of its proper divisors (162629046).

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

93999690 is a wasteful number, since it uses less digits than its factorization.

93999690 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 506 (or 494 counting only the distinct ones).

The product of its (nonzero) digits is 1062882, while the sum is 54.

The square root of 93999690 is about 9695.3437277902. The cubic root of 93999690 is about 454.6830945476.

The spelling of 93999690 in words is "ninety-three million, nine hundred ninety-nine thousand, six hundred ninety".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 81 90 101 135 162 202 243 270 303 383 405 486 505 606 766 810 909 1010 1149 1215 1515 1818 1915 2298 2430 2727 3030 3447 3830 4545 5454 5745 6894 8181 9090 10341 11490 13635 16362 17235 20682 24543 27270 31023 34470 38683 40905 49086 51705 62046 77366 81810 93069 103410 116049 122715 155115 186138 193415 232098 245430 310230 348147 386830 465345 580245 696294 930690 1044441 1160490 1740735 2088882 3133323 3481470 5222205 6266646 9399969 10444410 15666615 18799938 31333230 46999845 93999690