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10020411240 = 2335727134397
BaseRepresentation
bin10010101010100001…
…10101011101101000
3221212100011122002020
421111100311131220
5131010211124430
64334152104440
7503213042640
oct112520653550
927770148066
1010020411240
114282296304
121b37995120
13c38cb5b28
146b0b57520
153d9a90b10
hex255435768

10020411240 has 128 divisors (see below), whose sum is σ = 34376175360. Its totient is φ = 2289014784.

The previous prime is 10020411199. The next prime is 10020411253. The reversal of 10020411240 is 4211402001.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2276722 + ... + 2281118.

It is an arithmetic number, because the mean of its divisors is an integer number (268563870).

Almost surely, 210020411240 is an apocalyptic number.

10020411240 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 10020411240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17188087680).

10020411240 is an abundant number, since it is smaller than the sum of its proper divisors (24355764120).

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

10020411240 is a wasteful number, since it uses less digits than its factorization.

10020411240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7131 (or 7127 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

Adding to 10020411240 its reverse (4211402001), we get a palindrome (14231813241).

The spelling of 10020411240 in words is "ten billion, twenty million, four hundred eleven thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 20 21 24 28 30 35 40 42 56 60 70 84 105 120 140 168 210 280 420 840 2713 4397 5426 8139 8794 10852 13191 13565 16278 17588 18991 21704 21985 26382 27130 30779 32556 35176 37982 40695 43970 52764 54260 56973 61558 65112 65955 75964 81390 87940 92337 94955 105528 108520 113946 123116 131910 151928 153895 162780 175880 184674 189910 227892 246232 263820 284865 307790 325560 369348 379820 455784 461685 527640 569730 615580 738696 759640 923370 1139460 1231160 1846740 2278920 3693480 11929061 23858122 35787183 47716244 59645305 71574366 83503427 95432488 119290610 143148732 167006854 178935915 238581220 250510281 286297464 334013708 357871830 417517135 477162440 501020562 668027416 715743660 835034270 1002041124 1252551405 1431487320 1670068540 2004082248 2505102810 3340137080 5010205620 10020411240