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102550336 = 267253617
BaseRepresentation
bin1100001110011…
…00101101000000
321010222002121121
412013030231000
5202223102321
614102002024
72353443400
oct607145500
9233862547
10102550336
1152983649
122a416314
1318327595
14d896800
15900a441
hex61ccb40

102550336 has 84 divisors (see below), whose sum is σ = 241579908. Its totient is φ = 43051008.

The previous prime is 102550321. The next prime is 102550367. The reversal of 102550336 is 633055201.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 31990336 + 70560000 = 5656^2 + 8400^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 102550336.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 165900 + ... + 166516.

Almost surely, 2102550336 is an apocalyptic number.

102550336 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 102550336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120789954).

102550336 is an abundant number, since it is smaller than the sum of its proper divisors (139029572).

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

102550336 is an equidigital number, since it uses as much as digits as its factorization.

102550336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 696 (or 679 counting only the distinct ones).

The product of its (nonzero) digits is 2700, while the sum is 25.

The square root of 102550336 is about 10126.7139783841. The cubic root of 102550336 is about 468.0716767516.

The spelling of 102550336 in words is "one hundred two million, five hundred fifty thousand, three hundred thirty-six".

Divisors: 1 2 4 7 8 14 16 28 32 49 53 56 64 98 106 112 196 212 224 371 392 424 448 617 742 784 848 1234 1484 1568 1696 2468 2597 2968 3136 3392 4319 4936 5194 5936 8638 9872 10388 11872 17276 19744 20776 23744 30233 32701 34552 39488 41552 60466 65402 69104 83104 120932 130804 138208 166208 228907 241864 261608 276416 457814 483728 523216 915628 967456 1046432 1602349 1831256 1934912 2092864 3204698 3662512 6409396 7325024 12818792 14650048 25637584 51275168 102550336