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99134720 = 285411889
BaseRepresentation
bin1011110100010…
…10110100000000
320220112120021022
411322022310000
5200334302340
613500445012
72312426336
oct572126400
9226476238
1099134720
1150a60423
1229249768
13176cc9c9
14d247b56
158a833b5
hex5e8ad00

99134720 has 72 divisors (see below), whose sum is σ = 243379080. Its totient is φ = 38666240.

The previous prime is 99134713. The next prime is 99134767. The reversal of 99134720 is 2743199.

It can be written as a sum of positive squares in 4 ways, for example, as 92416 + 99042304 = 304^2 + 9952^2 .

It is a congruent number.

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 7 ways as a sum of consecutive naturals, for example, 51536 + ... + 53424.

It is an arithmetic number, because the mean of its divisors is an integer number (3380265).

Almost surely, 299134720 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 99134720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121689540).

99134720 is an abundant number, since it is smaller than the sum of its proper divisors (144244360).

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

99134720 is a wasteful number, since it uses less digits than its factorization.

99134720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1951 (or 1937 counting only the distinct ones).

The product of its (nonzero) digits is 13608, while the sum is 35.

The square root of 99134720 is about 9956.6420042101. The cubic root of 99134720 is about 462.8162453613.

The spelling of 99134720 in words is "ninety-nine million, one hundred thirty-four thousand, seven hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 41 64 80 82 128 160 164 205 256 320 328 410 640 656 820 1280 1312 1640 1889 2624 3280 3778 5248 6560 7556 9445 10496 13120 15112 18890 26240 30224 37780 52480 60448 75560 77449 120896 151120 154898 241792 302240 309796 387245 483584 604480 619592 774490 1208960 1239184 1548980 2417920 2478368 3097960 4956736 6195920 9913472 12391840 19826944 24783680 49567360 99134720