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99940950 = 232521911689
BaseRepresentation
bin1011111010011…
…11101001010110
320222001112012200
411331033221112
5201041102300
613530025330
72322325014
oct575175126
9228045180
1099940950
115146112a
1229578246
1317922975
14d3b78b4
158b92200
hex5f4fa56

99940950 has 72 divisors (see below), whose sum is σ = 282664200. Its totient is φ = 25246080.

The previous prime is 99940913. The next prime is 99940961. The reversal of 99940950 is 5904999.

It is a happy number.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a junction number, because it is equal to n+sod(n) for n = 99940896 and 99940905.

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, 2706 + ... + 14394.

Almost surely, 299940950 is an apocalyptic number.

99940950 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 99940950, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141332100).

99940950 is an abundant number, since it is smaller than the sum of its proper divisors (182723250).

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

99940950 is a wasteful number, since it uses less digits than its factorization.

99940950 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11726 (or 11718 counting only the distinct ones).

The product of its (nonzero) digits is 131220, while the sum is 45.

The square root of 99940950 is about 9997.0470640085. The cubic root of 99940950 is about 464.0675034321.

The spelling of 99940950 in words is "ninety-nine million, nine hundred forty thousand, nine hundred fifty".

Divisors: 1 2 3 5 6 9 10 15 18 19 25 30 38 45 50 57 75 90 95 114 150 171 190 225 285 342 450 475 570 855 950 1425 1710 2850 4275 8550 11689 23378 35067 58445 70134 105201 116890 175335 210402 222091 292225 350670 444182 526005 584450 666273 876675 1052010 1110455 1332546 1753350 1998819 2220910 2630025 3331365 3997638 5260050 5552275 6662730 9994095 11104550 16656825 19988190 33313650 49970475 99940950