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129087945 = 3357136601
BaseRepresentation
bin1111011000110…
…11100111001001
322222220100101000
413230123213021
5231021303240
620450445213
73125141460
oct754334711
9288810330
10129087945
1166959758
1237293809
13209895cc
14132039d7
15b4ed430
hex7b1b9c9

129087945 has 32 divisors (see below), whose sum is σ = 262275840. Its totient is φ = 59011200.

The previous prime is 129087887. The next prime is 129087947. The reversal of 129087945 is 549780921.

It is not a de Polignac number, because 129087945 - 212 = 129083849 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a self number, because there is not a number n which added to its sum of digits gives 129087945.

It is not an unprimeable number, because it can be changed into a prime (129087947) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 67356 + ... + 69245.

It is an arithmetic number, because the mean of its divisors is an integer number (8196120).

Almost surely, 2129087945 is an apocalyptic number.

129087945 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

129087945 is an abundant number, since it is smaller than the sum of its proper divisors (133187895).

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

129087945 is a wasteful number, since it uses less digits than its factorization.

129087945 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 136622 (or 136616 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 45.

The square root of 129087945 is about 11361.6875947194. The cubic root of 129087945 is about 505.3922319552.

The spelling of 129087945 in words is "one hundred twenty-nine million, eighty-seven thousand, nine hundred forty-five".

Divisors: 1 3 5 7 9 15 21 27 35 45 63 105 135 189 315 945 136601 409803 683005 956207 1229409 2049015 2868621 3688227 4781035 6147045 8605863 14343105 18441135 25817589 43029315 129087945