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99123144 = 23353149523
BaseRepresentation
bin1011110100001…
…11111111001000
320220111222101120
411322013333020
5200333420034
613500315240
72312350521
oct572077710
9226458346
1099123144
1150a5275a
1229242b20
13176c7663
14d243848
158a7ec49
hex5e87fc8

99123144 has 64 divisors (see below), whose sum is σ = 254664000. Its totient is φ = 32138496.

The previous prime is 99123139. The next prime is 99123149. The reversal of 99123144 is 44132199.

It is an interprime number because it is at equal distance from previous prime (99123139) and next prime (99123149).

It is not an unprimeable number, because it can be changed into a prime (99123149) 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, 189267 + ... + 189789.

It is an arithmetic number, because the mean of its divisors is an integer number (3979125).

Almost surely, 299123144 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 99123144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127332000).

99123144 is an abundant number, since it is smaller than the sum of its proper divisors (155540856).

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

99123144 is a wasteful number, since it uses less digits than its factorization.

99123144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 734 (or 730 counting only the distinct ones).

The product of its digits is 7776, while the sum is 33.

The square root of 99123144 is about 9956.0606667497. The cubic root of 99123144 is about 462.7982302488.

The spelling of 99123144 in words is "ninety-nine million, one hundred twenty-three thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 12 24 53 106 149 159 212 298 318 424 447 523 596 636 894 1046 1192 1272 1569 1788 2092 3138 3576 4184 6276 7897 12552 15794 23691 27719 31588 47382 55438 63176 77927 83157 94764 110876 155854 166314 189528 221752 233781 311708 332628 467562 623416 665256 935124 1870248 4130131 8260262 12390393 16520524 24780786 33041048 49561572 99123144