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10420337880 = 2333540124061
BaseRepresentation
bin10011011010001100…
…11011110011011000
3222220012201000022000
421231012123303120
5132320101303010
64442000001000
7516140260551
oct115506336330
928805630260
1010420337880
114468011097
122029900160
13ca0accc04
1470bcdd328
1540ec3c7c0
hex26d19bcd8

10420337880 has 128 divisors (see below), whose sum is σ = 34822526400. Its totient is φ = 2771712000.

The previous prime is 10420337857. The next prime is 10420337909. The reversal of 10420337880 is 8873302401.

10420337880 is a `hidden beast` number, since 1 + 0 + 4 + 203 + 378 + 80 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

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, 421050 + ... + 445110.

Almost surely, 210420337880 is an apocalyptic number.

10420337880 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 10420337880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17411263200).

10420337880 is an abundant number, since it is smaller than the sum of its proper divisors (24402188520).

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

10420337880 is a wasteful number, since it uses less digits than its factorization.

10420337880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24482 (or 24472 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

10420337880 divided by its sum of digits (36) gives a triangular number (289453830 = T24060).

The spelling of 10420337880 in words is "ten billion, four hundred twenty million, three hundred thirty-seven thousand, eight hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 27 30 36 40 45 54 60 72 90 108 120 135 180 216 270 360 401 540 802 1080 1203 1604 2005 2406 3208 3609 4010 4812 6015 7218 8020 9624 10827 12030 14436 16040 18045 21654 24060 24061 28872 36090 43308 48120 48122 54135 72180 72183 86616 96244 108270 120305 144360 144366 192488 216540 216549 240610 288732 360915 433080 433098 481220 577464 649647 721830 866196 962440 1082745 1299294 1443660 1732392 2165490 2598588 2887320 3248235 4330980 5197176 6496470 8661960 9648461 12992940 19296922 25985880 28945383 38593844 48242305 57890766 77187688 86836149 96484610 115781532 144726915 173672298 192969220 231563064 260508447 289453830 347344596 385938440 434180745 521016894 578907660 694689192 868361490 1042033788 1157815320 1302542235 1736722980 2084067576 2605084470 3473445960 5210168940 10420337880