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99244960 = 2552973293
BaseRepresentation
bin1011110101001…
…01101110100000
320220202011111021
411322211232200
5200401314320
613503055224
72313365623
oct572455640
9226664437
1099244960
1151026231
12292a1514
131773ac39
14d275dba
158aa5daa
hex5ea5ba0

99244960 has 96 divisors (see below), whose sum is σ = 246713040. Its totient is φ = 37675008.

The previous prime is 99244949. The next prime is 99244973. The reversal of 99244960 is 6944299.

It can be written as a sum of positive squares in 8 ways, for example, as 73479184 + 25765776 = 8572^2 + 5076^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 338574 + ... + 338866.

Almost surely, 299244960 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 99244960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123356520).

99244960 is an abundant number, since it is smaller than the sum of its proper divisors (147468080).

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

99244960 is a wasteful number, since it uses less digits than its factorization.

99244960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 410 (or 402 counting only the distinct ones).

The product of its (nonzero) digits is 139968, while the sum is 43.

The square root of 99244960 is about 9962.1764690252. The cubic root of 99244960 is about 462.9877357750.

It can be divided in two parts, 9924 and 4960, that added together give a square (14884 = 1222).

The spelling of 99244960 in words is "ninety-nine million, two hundred forty-four thousand, nine hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 29 32 40 58 73 80 116 145 146 160 232 290 292 293 365 464 580 584 586 730 928 1160 1168 1172 1460 1465 2117 2320 2336 2344 2920 2930 4234 4640 4688 5840 5860 8468 8497 9376 10585 11680 11720 16936 16994 21170 21389 23440 33872 33988 42340 42485 42778 46880 67744 67976 84680 84970 85556 106945 135952 169360 169940 171112 213890 271904 338720 339880 342224 427780 620281 679760 684448 855560 1240562 1359520 1711120 2481124 3101405 3422240 4962248 6202810 9924496 12405620 19848992 24811240 49622480 99244960