Search a number
-
+
10420403240 = 23513313717471
BaseRepresentation
bin10011011010001101…
…01011110000101000
3222220012211022221202
421231012223300220
5132320110400430
64442001223332
7516140652242
oct115506536050
928805738852
1010420403240
114468056205
122029931b48
13ca0b238a0
1470bd19092
1540ec51d45
hex26d1abc28

10420403240 has 128 divisors (see below), whose sum is σ = 26769899520. Its totient is φ = 3622579200.

The previous prime is 10420403179. The next prime is 10420403267. The reversal of 10420403240 is 4230402401.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 587705 + ... + 605175.

It is an arithmetic number, because the mean of its divisors is an integer number (209139840).

Almost surely, 210420403240 is an apocalyptic number.

10420403240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10420403240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13384949760).

10420403240 is an abundant number, since it is smaller than the sum of its proper divisors (16349496280).

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

10420403240 is a wasteful number, since it uses less digits than its factorization.

10420403240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17563 (or 17559 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 20.

Adding to 10420403240 its reverse (4230402401), we get a palindrome (14650805641).

The spelling of 10420403240 in words is "ten billion, four hundred twenty million, four hundred three thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 13 20 26 31 37 40 52 62 65 74 104 124 130 148 155 185 248 260 296 310 370 403 481 520 620 740 806 962 1147 1240 1480 1612 1924 2015 2294 2405 3224 3848 4030 4588 4810 5735 8060 9176 9620 11470 14911 16120 17471 19240 22940 29822 34942 45880 59644 69884 74555 87355 119288 139768 149110 174710 227123 298220 349420 454246 541601 596440 646427 698840 908492 1083202 1135615 1292854 1816984 2166404 2271230 2585708 2708005 3232135 4332808 4542460 5171416 5416010 6464270 7040813 8403551 9084920 10832020 12928540 14081626 16807102 20039237 21664040 25857080 28163252 33614204 35204065 40078474 42017755 56326504 67228408 70408130 80156948 84035510 100196185 140816260 160313896 168071020 200392370 260510081 281632520 336142040 400784740 521020162 801569480 1042040324 1302550405 2084080648 2605100810 5210201620 10420403240