Search a number
-
+
99914304 = 2637174373
BaseRepresentation
bin1011111010010…
…01001001000000
320222000011122210
411331021021000
5201034224204
613525302120
72322154230
oct575111100
9228004583
1099914304
1151443106
1229564940
13179137b9
14d3abcc0
158b89389
hex5f49240

99914304 has 112 divisors (see below), whose sum is σ = 319966848. Its totient is φ = 26861568.

The previous prime is 99914299. The next prime is 99914371. The reversal of 99914304 is 40341999.

It is a tau number, because it is divible by the number of its divisors (112).

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 15 ways as a sum of consecutive naturals, for example, 20662 + ... + 25034.

Almost surely, 299914304 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 99914304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159983424).

99914304 is an abundant number, since it is smaller than the sum of its proper divisors (220052544).

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

99914304 is a wasteful number, since it uses less digits than its factorization.

99914304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4412 (or 4402 counting only the distinct ones).

The product of its (nonzero) digits is 34992, while the sum is 39.

The square root of 99914304 is about 9995.7142816309. The cubic root of 99914304 is about 464.0262569367.

The spelling of 99914304 in words is "ninety-nine million, nine hundred fourteen thousand, three hundred four".

Divisors: 1 2 3 4 6 7 8 12 14 16 17 21 24 28 32 34 42 48 51 56 64 68 84 96 102 112 119 136 168 192 204 224 238 272 336 357 408 448 476 544 672 714 816 952 1088 1344 1428 1632 1904 2856 3264 3808 4373 5712 7616 8746 11424 13119 17492 22848 26238 30611 34984 52476 61222 69968 74341 91833 104952 122444 139936 148682 183666 209904 223023 244888 279872 297364 367332 419808 446046 489776 520387 594728 734664 839616 892092 979552 1040774 1189456 1469328 1561161 1784184 1959104 2081548 2378912 2938656 3122322 3568368 4163096 4757824 5877312 6244644 7136736 8326192 12489288 14273472 16652384 24978576 33304768 49957152 99914304