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99993114 = 232133311291
BaseRepresentation
bin1011111010111…
…00011000011010
320222011011202200
411331130120122
5201044234424
613531111030
72322633054
oct575343032
9228134680
1099993114
1151497341
12295a2476
1317940630
14d3cc8d4
158ba28c9
hex5f5c61a

99993114 has 48 divisors (see below), whose sum is σ = 234203424. Its totient is φ = 30650400.

The previous prime is 99993109. The next prime is 99993119. The reversal of 99993114 is 41139999.

It is an interprime number because it is at equal distance from previous prime (99993109) and next prime (99993119).

It is a self number, because there is not a number n which added to its sum of digits gives 99993114.

It is not an unprimeable number, because it can be changed into a prime (99993119) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 76809 + ... + 78099.

It is an arithmetic number, because the mean of its divisors is an integer number (4879238).

Almost surely, 299993114 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 99993114, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117101712).

99993114 is an abundant number, since it is smaller than the sum of its proper divisors (134210310).

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

99993114 is a wasteful number, since it uses less digits than its factorization.

99993114 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1643 (or 1640 counting only the distinct ones).

The product of its digits is 78732, while the sum is 45.

The square root of 99993114 is about 9999.6556940727. The cubic root of 99993114 is about 464.1482291232.

The spelling of 99993114 in words is "ninety-nine million, nine hundred ninety-three thousand, one hundred fourteen".

Divisors: 1 2 3 6 9 13 18 26 39 78 117 234 331 662 993 1291 1986 2582 2979 3873 4303 5958 7746 8606 11619 12909 16783 23238 25818 33566 38727 50349 77454 100698 151047 302094 427321 854642 1281963 2563926 3845889 5555173 7691778 11110346 16665519 33331038 49996557 99993114