Search a number
-
+
10084372740 = 223251319226819
BaseRepresentation
bin10010110010001001…
…10101000100000100
3222000210112012202200
421121010311010010
5131123044411430
64344355034500
7504620516421
oct113104650404
928023465680
1010084372740
114305402552
121b5529ba30
13c4931bc80
146b9446d48
153e04c7460
hex259135104

10084372740 has 144 divisors (see below), whose sum is σ = 34676241600. Its totient is φ = 2351649024.

The previous prime is 10084372709. The next prime is 10084372769. The reversal of 10084372740 is 4727348001.

It is a happy number.

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

It is a junction number, because it is equal to n+sod(n) for n = 10084372695 and 10084372704.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 68950 + ... + 157869.

Almost surely, 210084372740 is an apocalyptic number.

10084372740 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10084372740 is an abundant number, since it is smaller than the sum of its proper divisors (24591868860).

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

10084372740 is a wasteful number, since it uses less digits than its factorization.

10084372740 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 226866 (or 226861 counting only the distinct ones).

The product of its (nonzero) digits is 37632, while the sum is 36.

The spelling of 10084372740 in words is "ten billion, eighty-four million, three hundred seventy-two thousand, seven hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 13 15 18 19 20 26 30 36 38 39 45 52 57 60 65 76 78 90 95 114 117 130 156 171 180 190 195 228 234 247 260 285 342 380 390 468 494 570 585 684 741 780 855 988 1140 1170 1235 1482 1710 2223 2340 2470 2964 3420 3705 4446 4940 7410 8892 11115 14820 22230 44460 226819 453638 680457 907276 1134095 1360914 2041371 2268190 2721828 2948647 3402285 4082742 4309561 4536380 5897294 6804570 8165484 8619122 8845941 10206855 11794588 12928683 13609140 14743235 17238244 17691882 20413710 21547805 25857366 26537823 29486470 35383764 38786049 40827420 43095610 44229705 51714732 53075646 56024293 58972940 64643415 77572098 86191220 88459410 106151292 112048586 129286830 132689115 155144196 168072879 176918820 193930245 224097172 258573660 265378230 280121465 336145758 387860490 504218637 530756460 560242930 672291516 775720980 840364395 1008437274 1120485860 1680728790 2016874548 2521093185 3361457580 5042186370 10084372740