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780193134 = 23473971733
BaseRepresentation
bin101110100000001…
…100110101101110
32000101001220210000
4232200030311232
53044212140014
6205230125130
725222350360
oct5640146556
92011056700
10780193134
11370442716
121993507a6
13c5839656
1475890d30
1548763509
hex2e80cd6e

780193134 has 80 divisors (see below), whose sum is σ = 2004143328. Its totient is φ = 222222528.

The previous prime is 780193133. The next prime is 780193157. The reversal of 780193134 is 431391087.

It is a happy number.

780193134 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (780193133) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 449332 + ... + 451064.

Almost surely, 2780193134 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 780193134, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1002071664).

780193134 is an abundant number, since it is smaller than the sum of its proper divisors (1223950194).

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

780193134 is a wasteful number, since it uses less digits than its factorization.

780193134 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2151 (or 2142 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The square root of 780193134 is about 27931.9375267811. The cubic root of 780193134 is about 920.5923776296.

The spelling of 780193134 in words is "seven hundred eighty million, one hundred ninety-three thousand, one hundred thirty-four".

Divisors: 1 2 3 6 7 9 14 18 21 27 42 54 63 81 126 162 189 378 397 567 794 1134 1191 1733 2382 2779 3466 3573 5199 5558 7146 8337 10398 10719 12131 15597 16674 21438 24262 25011 31194 32157 36393 46791 50022 64314 72786 75033 93582 109179 140373 150066 218358 225099 280746 327537 450198 655074 688001 982611 1376002 1965222 2064003 4128006 4816007 6192009 9632014 12384018 14448021 18576027 28896042 37152054 43344063 55728081 86688126 111456162 130032189 260064378 390096567 780193134