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99291390 = 235112171609
BaseRepresentation
bin1011110101100…
…01000011111110
320220211112011220
411322301003332
5200404311030
613504054210
72313651162
oct572610376
9226745156
1099291390
1151058100
1229304366
1317756103
14d288ca2
158ab4a10
hex5eb10fe

99291390 has 96 divisors (see below), whose sum is σ = 277512480. Its totient is φ = 22640640.

The previous prime is 99291371. The next prime is 99291433. The reversal of 99291390 is 9319299.

It is a happy number.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 60906 + ... + 62514.

It is an arithmetic number, because the mean of its divisors is an integer number (2890755).

Almost surely, 299291390 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 99291390, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138756240).

99291390 is an abundant number, since it is smaller than the sum of its proper divisors (178221090).

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

99291390 is a wasteful number, since it uses less digits than its factorization.

99291390 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1658 (or 1647 counting only the distinct ones).

The product of its (nonzero) digits is 39366, while the sum is 42.

The square root of 99291390 is about 9964.5065106105. The cubic root of 99291390 is about 463.0599247278.

It can be divided in two parts, 99291 and 390, that added together give a triangular number (99681 = T446).

The spelling of 99291390 in words is "ninety-nine million, two hundred ninety-one thousand, three hundred ninety".

Divisors: 1 2 3 5 6 10 11 15 17 22 30 33 34 51 55 66 85 102 110 121 165 170 187 242 255 330 363 374 510 561 605 726 935 1122 1210 1609 1815 1870 2057 2805 3218 3630 4114 4827 5610 6171 8045 9654 10285 12342 16090 17699 20570 24135 27353 30855 35398 48270 53097 54706 61710 82059 88495 106194 136765 164118 176990 194689 265485 273530 300883 389378 410295 530970 584067 601766 820590 902649 973445 1168134 1504415 1805298 1946890 2920335 3008830 3309713 4513245 5840670 6619426 9026490 9929139 16548565 19858278 33097130 49645695 99291390