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1861013040 = 243518142841
BaseRepresentation
bin110111011101100…
…1100111000110000
311210200211020221220
41232323030320300
512302404404130
6504355545040
764055230665
oct15673147060
94720736856
101861013040
11875547707
1243b2bb180
13238733163
14139239a6c
15ad5ab410
hex6eecce30

1861013040 has 80 divisors (see below), whose sum is σ = 5801149536. Its totient is φ = 493516800.

The previous prime is 1861012991. The next prime is 1861013047. The reversal of 1861013040 is 403101681.

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

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 1861013040.

It is not an unprimeable number, because it can be changed into a prime (1861013047) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 22020 + ... + 64860.

Almost surely, 21861013040 is an apocalyptic number.

1861013040 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 1861013040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2900574768).

1861013040 is an abundant number, since it is smaller than the sum of its proper divisors (3940136496).

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

1861013040 is a wasteful number, since it uses less digits than its factorization.

1861013040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43038 (or 43032 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 24.

The square root of 1861013040 is about 43139.4603582381. The cubic root of 1861013040 is about 1230.0321757728.

The spelling of 1861013040 in words is "one billion, eight hundred sixty-one million, thirteen thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 181 240 362 543 724 905 1086 1448 1810 2172 2715 2896 3620 4344 5430 7240 8688 10860 14480 21720 42841 43440 85682 128523 171364 214205 257046 342728 428410 514092 642615 685456 856820 1028184 1285230 1713640 2056368 2570460 3427280 5140920 7754221 10281840 15508442 23262663 31016884 38771105 46525326 62033768 77542210 93050652 116313315 124067536 155084420 186101304 232626630 310168840 372202608 465253260 620337680 930506520 1861013040