Search a number
-
+
10013510790 = 234597127447
BaseRepresentation
bin10010101001101101…
…00000110010000110
3221211212012001110000
421110312200302012
5131001424321130
64333344142130
7503100303003
oct112466406206
927755161400
1010013510790
114279402958
121b35607946
13c3773b01a
146adc7c8aa
153d917b260
hex254da0c86

10013510790 has 80 divisors (see below), whose sum is σ = 27203010912. Its totient is φ = 2642720256.

The previous prime is 10013510761. The next prime is 10013510809. The reversal of 10013510790 is 9701531001.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 14847 + ... + 142293.

Almost surely, 210013510790 is an apocalyptic number.

10013510790 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 10013510790, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13601505456).

10013510790 is an abundant number, since it is smaller than the sum of its proper divisors (17189500122).

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

10013510790 is a wasteful number, since it uses less digits than its factorization.

10013510790 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 127563 (or 127554 counting only the distinct ones).

The product of its (nonzero) digits is 945, while the sum is 27.

The spelling of 10013510790 in words is "ten billion, thirteen million, five hundred ten thousand, seven hundred ninety".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 81 90 97 135 162 194 270 291 405 485 582 810 873 970 1455 1746 2619 2910 4365 5238 7857 8730 13095 15714 26190 39285 78570 127447 254894 382341 637235 764682 1147023 1274470 1911705 2294046 3441069 3823410 5735115 6882138 10323207 11470230 12362359 17205345 20646414 24724718 34410690 37087077 51616035 61811795 74174154 103232070 111261231 123623590 185435385 222522462 333783693 370870770 556306155 667567386 1001351079 1112612310 1668918465 2002702158 3337836930 5006755395 10013510790