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99144920 = 23573171117
BaseRepresentation
bin1011110100011…
…01010011011000
320220120002021002
411322031103120
5200340114140
613501004132
72312501150
oct572152330
9226502232
1099144920
1150a68056
1229253648
1317704544
14d24b760
158a86415
hex5e8d4d8

99144920 has 64 divisors (see below), whose sum is σ = 255977280. Its totient is φ = 33854976.

The previous prime is 99144919. The next prime is 99144923. The reversal of 99144920 is 2944199.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (99144923) 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, 88202 + ... + 89318.

It is an arithmetic number, because the mean of its divisors is an integer number (3999645).

Almost surely, 299144920 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 99144920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127988640).

99144920 is an abundant number, since it is smaller than the sum of its proper divisors (156832360).

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

99144920 is a wasteful number, since it uses less digits than its factorization.

99144920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1452 (or 1448 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 38.

The square root of 99144920 is about 9957.1542119222. The cubic root of 99144920 is about 462.8321179160.

The spelling of 99144920 in words is "ninety-nine million, one hundred forty-four thousand, nine hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 56 70 140 280 317 634 1117 1268 1585 2219 2234 2536 3170 4438 4468 5585 6340 7819 8876 8936 11095 11170 12680 15638 17752 22190 22340 31276 39095 44380 44680 62552 78190 88760 156380 312760 354089 708178 1416356 1770445 2478623 2832712 3540890 4957246 7081780 9914492 12393115 14163560 19828984 24786230 49572460 99144920