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129734900 = 22521297349
BaseRepresentation
bin1111011101110…
…01100011110100
3100001010012211022
413232321203310
5231203004100
620512400312
73133504601
oct756714364
9301105738
10129734900
1167260829
1237546098
1320b54c19
14133316a8
15b5c9e85
hex7bb98f4

129734900 has 18 divisors (see below), whose sum is σ = 281524950. Its totient is φ = 51893920.

The previous prime is 129734897. The next prime is 129734903. The reversal of 129734900 is 9437921.

It is an interprime number because it is at equal distance from previous prime (129734897) and next prime (129734903).

It can be written as a sum of positive squares in 3 ways, for example, as 31764496 + 97970404 = 5636^2 + 9898^2 .

It is a super-2 number, since 2×1297349002 = 33662288556020000, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (129734903) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 648575 + ... + 648774.

It is an arithmetic number, because the mean of its divisors is an integer number (15640275).

Almost surely, 2129734900 is an apocalyptic number.

129734900 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

129734900 is an abundant number, since it is smaller than the sum of its proper divisors (151790050).

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

129734900 is a wasteful number, since it uses less digits than its factorization.

129734900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1297363 (or 1297356 counting only the distinct ones).

The product of its (nonzero) digits is 13608, while the sum is 35.

The square root of 129734900 is about 11390.1229141744. The cubic root of 129734900 is about 506.2351232737.

The spelling of 129734900 in words is "one hundred twenty-nine million, seven hundred thirty-four thousand, nine hundred".

Divisors: 1 2 4 5 10 20 25 50 100 1297349 2594698 5189396 6486745 12973490 25946980 32433725 64867450 129734900