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102911956 = 2272975413
BaseRepresentation
bin1100010001001…
…00111111010100
321011122110122221
412020210333110
5202321140311
614113432124
72356510600
oct610447724
9234573587
10102911956
1153100304
122a56b644
1318423064
14d94c500
15907c671
hex6224fd4

102911956 has 36 divisors (see below), whose sum is σ = 211698228. Its totient is φ = 43642368.

The previous prime is 102911953. The next prime is 102911983. The reversal of 102911956 is 659119201.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 33756100 + 69155856 = 5810^2 + 8316^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102911953) 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 11 ways as a sum of consecutive naturals, for example, 16306 + ... + 21718.

Almost surely, 2102911956 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 102911956, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105849114).

102911956 is an abundant number, since it is smaller than the sum of its proper divisors (108786272).

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

102911956 is a wasteful number, since it uses less digits than its factorization.

102911956 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5528 (or 5519 counting only the distinct ones).

The product of its (nonzero) digits is 4860, while the sum is 34.

The square root of 102911956 is about 10144.5530212031. The cubic root of 102911956 is about 468.6212134257.

The spelling of 102911956 in words is "one hundred two million, nine hundred eleven thousand, nine hundred fifty-six".

Divisors: 1 2 4 7 14 28 49 97 98 194 196 388 679 1358 2716 4753 5413 9506 10826 19012 21652 37891 75782 151564 265237 525061 530474 1050122 1060948 2100244 3675427 7350854 14701708 25727989 51455978 102911956