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10063530240 = 283519113721
BaseRepresentation
bin10010101111101010…
…10100100100000000
3221222100022022020020
421113311110210000
5131102230431430
64342332213440
7504245411211
oct112765244400
927870268206
1010063530240
1142a4667245
121b4a30a280
13c44c0222a
146b677d408
153dd75bb10
hex257d54900

10063530240 has 144 divisors (see below), whose sum is σ = 32311028736. Its totient is φ = 2669363200.

The previous prime is 10063530227. The next prime is 10063530259. The reversal of 10063530240 is 4203536001.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 10063530240.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 726580 + ... + 740300.

It is an arithmetic number, because the mean of its divisors is an integer number (224382144).

Almost surely, 210063530240 is an apocalyptic number.

10063530240 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 10063530240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16155514368).

10063530240 is an abundant number, since it is smaller than the sum of its proper divisors (22247498496).

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

10063530240 is a wasteful number, since it uses less digits than its factorization.

10063530240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13936 (or 13922 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 24.

The spelling of 10063530240 in words is "ten billion, sixty-three million, five hundred thirty thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 128 160 191 192 240 256 320 382 384 480 573 640 764 768 955 960 1146 1280 1528 1910 1920 2292 2865 3056 3820 3840 4584 5730 6112 7640 9168 11460 12224 13721 15280 18336 22920 24448 27442 30560 36672 41163 45840 48896 54884 61120 68605 73344 82326 91680 109768 122240 137210 146688 164652 183360 205815 219536 244480 274420 329304 366720 411630 439072 548840 658608 733440 823260 878144 1097680 1317216 1646520 1756288 2195360 2620711 2634432 3293040 3512576 4390720 5241422 5268864 6586080 7862133 8781440 10482844 10537728 13103555 13172160 15724266 17562880 20965688 26207110 26344320 31448532 39310665 41931376 52414220 52688640 62897064 78621330 83862752 104828440 125794128 157242660 167725504 209656880 251588256 314485320 335451008 419313760 503176512 628970640 670902016 838627520 1006353024 1257941280 1677255040 2012706048 2515882560 3354510080 5031765120 10063530240