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99997300 = 22521326197
BaseRepresentation
bin1011111010111…
…01011001110100
320222011101111201
411331131121310
5201044403200
613531142244
72322651214
oct575353164
9228141451
1099997300
115149a4a7
12295a4984
1317942500
14d3d0244
158ba3c6a
hex5f5d674

99997300 has 108 divisors (see below), whose sum is σ = 241284036. Its totient is φ = 35942400.

The previous prime is 99997267. The next prime is 99997357. The reversal of 99997300 is 379999.

It can be written as a sum of positive squares in 18 ways, for example, as 99440784 + 556516 = 9972^2 + 746^2 .

It is a nialpdrome in base 10.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1030852 + ... + 1030948.

Almost surely, 299997300 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 99997300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120642018).

99997300 is an abundant number, since it is smaller than the sum of its proper divisors (141286736).

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

99997300 is a wasteful number, since it uses less digits than its factorization.

99997300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 198 (or 178 counting only the distinct ones).

The product of its (nonzero) digits is 137781, while the sum is 46.

The square root of 99997300 is about 9999.8649990887. The cubic root of 99997300 is about 464.1547058937.

The spelling of 99997300 in words is "ninety-nine million, nine hundred ninety-seven thousand, three hundred".

Divisors: 1 2 4 5 10 13 20 25 26 50 52 61 65 97 100 122 130 169 194 244 260 305 325 338 388 485 610 650 676 793 845 970 1220 1261 1300 1525 1586 1690 1940 2425 2522 3050 3172 3380 3965 4225 4850 5044 5917 6100 6305 7930 8450 9700 10309 11834 12610 15860 16393 16900 19825 20618 23668 25220 29585 31525 32786 39650 41236 51545 59170 63050 65572 76921 79300 81965 103090 118340 126100 147925 153842 163930 206180 257725 295850 307684 327860 384605 409825 515450 591700 769210 819650 999973 1030900 1538420 1639300 1923025 1999946 3846050 3999892 4999865 7692100 9999730 19999460 24999325 49998650 99997300