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99387280 = 24541157193
BaseRepresentation
bin1011110110010…
…00011110010000
320221000101201101
411323020132100
5200420343110
613510114144
72314530556
oct573103620
9227011641
1099387280
1151113153
122934b954
131778a955
14d2b1bd6
158ad313a
hex5ec8790

99387280 has 80 divisors (see below), whose sum is σ = 239453424. Its totient is φ = 38338560.

The previous prime is 99387269. The next prime is 99387283. The reversal of 99387280 is 8278399.

It can be written as a sum of positive squares in 8 ways, for example, as 31225744 + 68161536 = 5588^2 + 8256^2 .

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

It is a self number, because there is not a number n which added to its sum of digits gives 99387280.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (99387283) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 514864 + ... + 515056.

Almost surely, 299387280 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 99387280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119726712).

99387280 is an abundant number, since it is smaller than the sum of its proper divisors (140066144).

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

99387280 is a wasteful number, since it uses less digits than its factorization.

99387280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 404 (or 398 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 46.

The square root of 99387280 is about 9969.3169274530. The cubic root of 99387280 is about 463.2089424487.

The spelling of 99387280 in words is "ninety-nine million, three hundred eighty-seven thousand, two hundred eighty".

Divisors: 1 2 4 5 8 10 16 20 40 41 80 82 157 164 193 205 314 328 386 410 628 656 772 785 820 965 1256 1544 1570 1640 1930 2512 3088 3140 3280 3860 6280 6437 7720 7913 12560 12874 15440 15826 25748 30301 31652 32185 39565 51496 60602 63304 64370 79130 102992 121204 126608 128740 151505 158260 242408 257480 303010 316520 484816 514960 606020 633040 1212040 1242341 2424080 2484682 4969364 6211705 9938728 12423410 19877456 24846820 49693640 99387280