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93934890 = 2345716567
BaseRepresentation
bin1011001100101…
…01010100101010
320112202101110000
411212111110222
5143021404030
613153203430
72220301440
oct546252452
9215671400
1093934890
1149029745
1227560576
13165cbc9a
14c692b90
1583a7860
hex599552a

93934890 has 80 divisors (see below), whose sum is σ = 288680832. Its totient is φ = 21469536.

The previous prime is 93934889. The next prime is 93934891. The reversal of 93934890 is 9843939.

It is an interprime number because it is at equal distance from previous prime (93934889) and next prime (93934891).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (93934891) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 2614 + ... + 13953.

Almost surely, 293934890 is an apocalyptic number.

93934890 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 93934890, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144340416).

93934890 is an abundant number, since it is smaller than the sum of its proper divisors (194745942).

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

93934890 is a wasteful number, since it uses less digits than its factorization.

93934890 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16593 (or 16584 counting only the distinct ones).

The product of its (nonzero) digits is 209952, while the sum is 45.

The square root of 93934890 is about 9692.0013413123. The cubic root of 93934890 is about 454.5785898148.

The spelling of 93934890 in words is "ninety-three million, nine hundred thirty-four thousand, eight hundred ninety".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 27 30 35 42 45 54 63 70 81 90 105 126 135 162 189 210 270 315 378 405 567 630 810 945 1134 1890 2835 5670 16567 33134 49701 82835 99402 115969 149103 165670 231938 248505 298206 347907 447309 497010 579845 695814 745515 894618 1043721 1159690 1341927 1491030 1739535 2087442 2236545 2683854 3131163 3479070 4473090 5218605 6262326 6709635 9393489 10437210 13419270 15655815 18786978 31311630 46967445 93934890