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99363940 = 22513461829
BaseRepresentation
bin1011110110000…
…10110001100100
320220222012200221
411323002301210
5200414121230
613505414124
72314402534
oct573026144
9226865627
1099363940
11510a7665
122933a344
1317780140
14d2a74c4
158acb27a
hex5ec2c64

99363940 has 48 divisors (see below), whose sum is σ = 225474480. Its totient is φ = 36564480.

The previous prime is 99363919. The next prime is 99363941. The reversal of 99363940 is 4936399.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 9834496 + 89529444 = 3136^2 + 9462^2 .

It is a Smith number, since the sum of its digits (43) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (99363941) 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, 119446 + ... + 120274.

It is an arithmetic number, because the mean of its divisors is an integer number (4697385).

Almost surely, 299363940 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 99363940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112737240).

99363940 is an abundant number, since it is smaller than the sum of its proper divisors (126110540).

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

99363940 is a wasteful number, since it uses less digits than its factorization.

99363940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1312 (or 1310 counting only the distinct ones).

The product of its (nonzero) digits is 157464, while the sum is 43.

The square root of 99363940 is about 9968.1462669846. The cubic root of 99363940 is about 463.1726797830.

The spelling of 99363940 in words is "ninety-nine million, three hundred sixty-three thousand, nine hundred forty".

Divisors: 1 2 4 5 10 13 20 26 52 65 130 260 461 829 922 1658 1844 2305 3316 4145 4610 5993 8290 9220 10777 11986 16580 21554 23972 29965 43108 53885 59930 107770 119860 215540 382169 764338 1528676 1910845 3821690 4968197 7643380 9936394 19872788 24840985 49681970 99363940