Search a number
-
+
99240720 = 24351972099
BaseRepresentation
bin1011110101001…
…00101100010000
320220201221200020
411322210230100
5200401200340
613503023440
72313350355
oct572445420
9226657606
1099240720
1151023027
122929ab80
1317739027
14d27462c
158aa49d0
hex5ea4b10

99240720 has 80 divisors (see below), whose sum is σ = 309355200. Its totient is φ = 26317312.

The previous prime is 99240677. The next prime is 99240727. The reversal of 99240720 is 2704299.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×992407202 = 19697441012236800, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (99240727) 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, 46231 + ... + 48329.

It is an arithmetic number, because the mean of its divisors is an integer number (3866940).

Almost surely, 299240720 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 99240720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154677600).

99240720 is an abundant number, since it is smaller than the sum of its proper divisors (210114480).

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

99240720 is a wasteful number, since it uses less digits than its factorization.

99240720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2312 (or 2306 counting only the distinct ones).

The product of its (nonzero) digits is 9072, while the sum is 33.

The square root of 99240720 is about 9961.9636618490. The cubic root of 99240720 is about 462.9811423388.

The spelling of 99240720 in words is "ninety-nine million, two hundred forty thousand, seven hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 197 240 394 591 788 985 1182 1576 1970 2099 2364 2955 3152 3940 4198 4728 5910 6297 7880 8396 9456 10495 11820 12594 15760 16792 20990 23640 25188 31485 33584 41980 47280 50376 62970 83960 100752 125940 167920 251880 413503 503760 827006 1240509 1654012 2067515 2481018 3308024 4135030 4962036 6202545 6616048 8270060 9924072 12405090 16540120 19848144 24810180 33080240 49620360 99240720