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10245528240 = 2435283150847
BaseRepresentation
bin10011000101010111…
…00101101010110000
3222110000202202112220
421202223211222300
5131440323400430
64412353121040
7511615360503
oct114253455260
928400682486
1010245528240
114388374012
121b9b259180
13c7382565c
146d29d713a
153ee70c110
hex262ae5ab0

10245528240 has 80 divisors (see below), whose sum is σ = 31873579008. Its totient is φ = 2722468608.

The previous prime is 10245528229. The next prime is 10245528259. The reversal of 10245528240 is 4282554201.

It is a tau number, because it is divible by the number of its divisors (80).

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, 7504 + ... + 143343.

Almost surely, 210245528240 is an apocalyptic number.

10245528240 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 10245528240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15936789504).

10245528240 is an abundant number, since it is smaller than the sum of its proper divisors (21628050768).

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

10245528240 is a wasteful number, since it uses less digits than its factorization.

10245528240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 151146 (or 151140 counting only the distinct ones).

The product of its (nonzero) digits is 25600, while the sum is 33.

The spelling of 10245528240 in words is "ten billion, two hundred forty-five million, five hundred twenty-eight thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 283 566 849 1132 1415 1698 2264 2830 3396 4245 4528 5660 6792 8490 11320 13584 16980 22640 33960 67920 150847 301694 452541 603388 754235 905082 1206776 1508470 1810164 2262705 2413552 3016940 3620328 4525410 6033880 7240656 9050820 12067760 18101640 36203280 42689701 85379402 128069103 170758804 213448505 256138206 341517608 426897010 512276412 640345515 683035216 853794020 1024552824 1280691030 1707588040 2049105648 2561382060 3415176080 5122764120 10245528240