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103469952 = 273594567
BaseRepresentation
bin1100010101011…
…01001110000000
321012200211002110
412022231032000
5202442014302
614133415320
72364323445
oct612551600
9235624073
10103469952
1153451563
122a79a540
131858a031
14da559cc
15913cb6c
hex62ad380

103469952 has 64 divisors (see below), whose sum is σ = 279561600. Its totient is φ = 33897984.

The previous prime is 103469929. The next prime is 103469959. The reversal of 103469952 is 259964301.

It is a tau number, because it is divible by the number of its divisors (64).

It is a self number, because there is not a number n which added to its sum of digits gives 103469952.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (103469959) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 20373 + ... + 24939.

It is an arithmetic number, because the mean of its divisors is an integer number (4368150).

Almost surely, 2103469952 is an apocalyptic number.

103469952 is a gapful number since it is divisible by the number (12) 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 103469952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139780800).

103469952 is an abundant number, since it is smaller than the sum of its proper divisors (176091648).

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

103469952 is an equidigital number, since it uses as much as digits as its factorization.

103469952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4643 (or 4631 counting only the distinct ones).

The product of its (nonzero) digits is 58320, while the sum is 39.

The square root of 103469952 is about 10172.0180888553. The cubic root of 103469952 is about 469.4666531836.

The spelling of 103469952 in words is "one hundred three million, four hundred sixty-nine thousand, nine hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 59 64 96 118 128 177 192 236 354 384 472 708 944 1416 1888 2832 3776 4567 5664 7552 9134 11328 13701 18268 22656 27402 36536 54804 73072 109608 146144 219216 269453 292288 438432 538906 584576 808359 876864 1077812 1616718 1753728 2155624 3233436 4311248 6466872 8622496 12933744 17244992 25867488 34489984 51734976 103469952