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93989140 = 2257532239
BaseRepresentation
bin1011001101000…
…10100100010100
320112212010212021
411212202210110
5143030123030
613154302524
72220615550
oct546424424
9215763767
1093989140
1149066483
1227587a44
131661a89b
14c6a8860
1583b897a
hex59a2914

93989140 has 72 divisors (see below), whose sum is σ = 230872320. Its totient is φ = 31484544.

The previous prime is 93989131. The next prime is 93989153. The reversal of 93989140 is 4198939.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 393141 + ... + 393379.

It is an arithmetic number, because the mean of its divisors is an integer number (3206560).

Almost surely, 293989140 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 93989140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115436160).

93989140 is an abundant number, since it is smaller than the sum of its proper divisors (136883180).

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

93989140 is a wasteful number, since it uses less digits than its factorization.

93989140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 361 (or 306 counting only the distinct ones).

The product of its (nonzero) digits is 69984, while the sum is 43.

The square root of 93989140 is about 9694.7996369188. The cubic root of 93989140 is about 454.6660835478. Note that the first 3 decimals are identical.

The spelling of 93989140 in words is "ninety-three million, nine hundred eighty-nine thousand, one hundred forty".

Divisors: 1 2 4 5 7 10 14 20 28 35 53 70 106 140 212 239 265 371 478 530 742 956 1060 1195 1484 1673 1855 2390 2809 3346 3710 4780 5618 6692 7420 8365 11236 12667 14045 16730 19663 25334 28090 33460 39326 50668 56180 63335 78652 88669 98315 126670 177338 196630 253340 354676 393260 443345 671351 886690 1342702 1773380 2685404 3356755 4699457 6713510 9398914 13427020 18797828 23497285 46994570 93989140