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102949965 = 3252287777
BaseRepresentation
bin1100010001011…
…10010001001101
321011201101210200
412020232101031
5202323344330
614114324113
72360026446
oct610562115
9234641720
10102949965
1153126918
122a589639
1318437451
14d95c2cd
159088a60
hex622e44d

102949965 has 12 divisors (see below), whose sum is σ = 178446684. Its totient is φ = 54906624.

The previous prime is 102949939. The next prime is 102949969. The reversal of 102949965 is 569949201.

It can be written as a sum of positive squares in 2 ways, for example, as 37970244 + 64979721 = 6162^2 + 8061^2 .

It is not a de Polignac number, because 102949965 - 214 = 102933581 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45), and also a Moran number because the ratio is a prime number: 2287777 = 102949965 / (1 + 0 + 2 + 9 + 4 + 9 + 9 + 6 + 5).

It is a self number, because there is not a number n which added to its sum of digits gives 102949965.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102949969) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1143844 + ... + 1143933.

It is an arithmetic number, because the mean of its divisors is an integer number (14870557).

Almost surely, 2102949965 is an apocalyptic number.

102949965 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

102949965 is a deficient number, since it is larger than the sum of its proper divisors (75496719).

102949965 is a wasteful number, since it uses less digits than its factorization.

102949965 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2287788 (or 2287785 counting only the distinct ones).

The product of its (nonzero) digits is 174960, while the sum is 45.

The square root of 102949965 is about 10146.4262181322. The cubic root of 102949965 is about 468.6788990825.

The spelling of 102949965 in words is "one hundred two million, nine hundred forty-nine thousand, nine hundred sixty-five".

Divisors: 1 3 5 9 15 45 2287777 6863331 11438885 20589993 34316655 102949965