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10001525240 = 2357241124459
BaseRepresentation
bin10010101000010001…
…10010100111111000
3221211000122010100202
421110020302213320
5130440342301430
64332235221332
7502563363500
oct112410624770
927730563322
1010001525240
114272666a43
121b315a7848
13c35102795
146ac43ca00
153d80aed45
hex2542329f8

10001525240 has 96 divisors (see below), whose sum is σ = 26816151600. Its totient is φ = 3345431040.

The previous prime is 10001525239. The next prime is 10001525267. The reversal of 10001525240 is 4252510001.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 18131 + ... + 142589.

Almost surely, 210001525240 is an apocalyptic number.

10001525240 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 10001525240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13408075800).

10001525240 is an abundant number, since it is smaller than the sum of its proper divisors (16814626360).

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

10001525240 is a wasteful number, since it uses less digits than its factorization.

10001525240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 124525 (or 124514 counting only the distinct ones).

The product of its (nonzero) digits is 400, while the sum is 20.

The spelling of 10001525240 in words is "ten billion, one million, five hundred twenty-five thousand, two hundred forty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 41 49 56 70 82 98 140 164 196 205 245 280 287 328 392 410 490 574 820 980 1148 1435 1640 1960 2009 2296 2870 4018 5740 8036 10045 11480 16072 20090 40180 80360 124459 248918 497836 622295 871213 995672 1244590 1742426 2489180 3484852 4356065 4978360 5102819 6098491 6969704 8712130 10205638 12196982 17424260 20411276 24393964 25514095 30492455 34848520 35719733 40822552 48787928 51028190 60984910 71439466 102056380 121969820 142878932 178598665 204112760 243939640 250038131 285757864 357197330 500076262 714394660 1000152524 1250190655 1428789320 2000305048 2500381310 5000762620 10001525240