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99937890 = 232513229373
BaseRepresentation
bin1011111010011…
…10111001100010
320222001101000100
411331032321202
5201041003030
613530003230
72322313053
oct575167142
9228041010
1099937890
11514598a8
1229576516
1317921460
14d3b672a
158b91360
hex5f4ee62

99937890 has 96 divisors (see below), whose sum is σ = 281801520. Its totient is φ = 24427008.

The previous prime is 99937889. The next prime is 99937897. The reversal of 99937890 is 9873999.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 51538041 + 48399849 = 7179^2 + 6957^2 .

It is not an unprimeable number, because it can be changed into a prime (99937897) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 267744 + ... + 268116.

Almost surely, 299937890 is an apocalyptic number.

99937890 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 99937890, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140900760).

99937890 is an abundant number, since it is smaller than the sum of its proper divisors (181863630).

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

99937890 is a wasteful number, since it uses less digits than its factorization.

99937890 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 628 (or 625 counting only the distinct ones).

The product of its (nonzero) digits is 1102248, while the sum is 54.

The square root of 99937890 is about 9996.8940176437. The cubic root of 99937890 is about 464.0627670984.

The spelling of 99937890 in words is "ninety-nine million, nine hundred thirty-seven thousand, eight hundred ninety".

Divisors: 1 2 3 5 6 9 10 13 15 18 26 30 39 45 65 78 90 117 130 195 229 234 373 390 458 585 687 746 1119 1145 1170 1374 1865 2061 2238 2290 2977 3357 3435 3730 4122 4849 5595 5954 6714 6870 8931 9698 10305 11190 14547 14885 16785 17862 20610 24245 26793 29094 29770 33570 43641 44655 48490 53586 72735 85417 87282 89310 133965 145470 170834 218205 256251 267930 427085 436410 512502 768753 854170 1110421 1281255 1537506 2220842 2562510 3331263 3843765 5552105 6662526 7687530 9993789 11104210 16656315 19987578 33312630 49968945 99937890