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10030000240 = 24513107173521
BaseRepresentation
bin10010101011101010…
…11010100001110000
3221220000012210201101
421111311122201300
5131020140001430
64335133414144
7503360411131
oct112565324160
927800183641
1010030000240
1142877456a7
121b3b03a354
13c3ac925b0
146b2131c88
153da836dca
hex255d5a870

10030000240 has 160 divisors (see below), whose sum is σ = 25543740096. Its totient is φ = 3640565760.

The previous prime is 10030000223. The next prime is 10030000243. The reversal of 10030000240 is 4200003001.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10030000243) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 19251180 + ... + 19251700.

Almost surely, 210030000240 is an apocalyptic number.

10030000240 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 10030000240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12771870048).

10030000240 is an abundant number, since it is smaller than the sum of its proper divisors (15513739856).

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

10030000240 is a wasteful number, since it uses less digits than its factorization.

10030000240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 827 (or 821 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 10.

Adding to 10030000240 its reverse (4200003001), we get a palindrome (14230003241).

The spelling of 10030000240 in words is "ten billion, thirty million, two hundred forty", and thus it is an aban number.

Divisors: 1 2 4 5 8 10 13 16 20 26 40 52 65 80 104 107 130 173 208 214 260 346 428 520 521 535 692 856 865 1040 1042 1070 1384 1391 1712 1730 2084 2140 2249 2605 2768 2782 3460 4168 4280 4498 5210 5564 6773 6920 6955 8336 8560 8996 10420 11128 11245 13546 13840 13910 17992 18511 20840 22256 22490 27092 27820 33865 35984 37022 41680 44980 54184 55640 55747 67730 74044 89960 90133 92555 108368 111280 111494 135460 148088 179920 180266 185110 222988 240643 270920 278735 296176 360532 370220 445976 450665 481286 541840 557470 721064 724711 740440 891952 901330 962572 1114940 1171729 1203215 1442128 1449422 1480880 1802660 1925144 2229880 2343458 2406430 2898844 3605320 3623555 3850288 4459760 4686916 4812860 5797688 5858645 7210640 7247110 9373832 9625720 9644231 11595376 11717290 14494220 18747664 19251440 19288462 23434580 28988440 38576924 46869160 48221155 57976880 77153848 93738320 96442310 125375003 154307696 192884620 250750006 385769240 501500012 626875015 771538480 1003000024 1253750030 2006000048 2507500060 5015000120 10030000240