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129413790 = 232511373533
BaseRepresentation
bin1111011011010…
…11001010011110
3100000111220100100
413231223022132
5231112220130
620501441530
73130666452
oct755531236
9300456310
10129413790
1167061550
12374102a6
1320a71a0c
141328a662
15b564c60
hex7b6b29e

129413790 has 96 divisors (see below), whose sum is σ = 377091936. Its totient is φ = 30516480.

The previous prime is 129413777. The next prime is 129413797. The reversal of 129413790 is 97314921.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (129413797) 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 47 ways as a sum of consecutive naturals, for example, 34864 + ... + 38396.

It is an arithmetic number, because the mean of its divisors is an integer number (3928041).

Almost surely, 2129413790 is an apocalyptic number.

129413790 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 129413790, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (188545968).

129413790 is an abundant number, since it is smaller than the sum of its proper divisors (247678146).

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

129413790 is a wasteful number, since it uses less digits than its factorization.

129413790 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3594 (or 3591 counting only the distinct ones).

The product of its (nonzero) digits is 13608, while the sum is 36.

The square root of 129413790 is about 11376.0181961880. The cubic root of 129413790 is about 505.8171132611.

The spelling of 129413790 in words is "one hundred twenty-nine million, four hundred thirteen thousand, seven hundred ninety".

Divisors: 1 2 3 5 6 9 10 11 15 18 22 30 33 37 45 55 66 74 90 99 110 111 165 185 198 222 330 333 370 407 495 555 666 814 990 1110 1221 1665 2035 2442 3330 3533 3663 4070 6105 7066 7326 10599 12210 17665 18315 21198 31797 35330 36630 38863 52995 63594 77726 105990 116589 130721 158985 194315 233178 261442 317970 349767 388630 392163 582945 653605 699534 784326 1165890 1176489 1307210 1437931 1748835 1960815 2352978 2875862 3497670 3921630 4313793 5882445 7189655 8627586 11764890 12941379 14379310 21568965 25882758 43137930 64706895 129413790