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102873630 = 23517434691
BaseRepresentation
bin1100010000110…
…11101000011110
321011120112002110
412020123220132
5202313424010
614112534450
72356261056
oct610335036
9234515073
10102873630
1153084532
122a551426
131840b792
14d93c566
159071120
hex621ba1e

102873630 has 64 divisors (see below), whose sum is σ = 267556608. Its totient is φ = 25213440.

The previous prime is 102873629. The next prime is 102873649. The reversal of 102873630 is 36378201.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 19585 + ... + 24275.

It is an arithmetic number, because the mean of its divisors is an integer number (4180572).

Almost surely, 2102873630 is an apocalyptic number.

102873630 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 102873630, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133778304).

102873630 is an abundant number, since it is smaller than the sum of its proper divisors (164682978).

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

102873630 is a wasteful number, since it uses less digits than its factorization.

102873630 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4761.

The product of its (nonzero) digits is 6048, while the sum is 30.

The square root of 102873630 is about 10142.6638512769. The cubic root of 102873630 is about 468.5630322796.

The spelling of 102873630 in words is "one hundred two million, eight hundred seventy-three thousand, six hundred thirty".

Divisors: 1 2 3 5 6 10 15 17 30 34 43 51 85 86 102 129 170 215 255 258 430 510 645 731 1290 1462 2193 3655 4386 4691 7310 9382 10965 14073 21930 23455 28146 46910 70365 79747 140730 159494 201713 239241 398735 403426 478482 605139 797470 1008565 1196205 1210278 2017130 2392410 3025695 3429121 6051390 6858242 10287363 17145605 20574726 34291210 51436815 102873630