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1240874640 = 2436521277
BaseRepresentation
bin100100111110110…
…0011111010010000
310012110220222000000
41021331203322100
510020130442030
6323044130000
742515155215
oct11175437220
93173828000
101240874640
11587494535
122a7696900
1316a106165
14bab2db0c
1573e11860
hex49f63e90

1240874640 has 140 divisors (see below), whose sum is σ = 4325774844. Its totient is φ = 330884352.

The previous prime is 1240874617. The next prime is 1240874669. The reversal of 1240874640 is 464780421.

1240874640 is a `hidden beast` number, since 1 + 2 + 4 + 0 + 8 + 7 + 4 + 640 = 666.

1240874640 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 218921616 + 1021953024 = 14796^2 + 31968^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 1240874595 and 1240874604.

It is an unprimeable number.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 47682 + ... + 68958.

Almost surely, 21240874640 is an apocalyptic number.

1240874640 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 1240874640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2162887422).

1240874640 is an abundant number, since it is smaller than the sum of its proper divisors (3084900204).

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

1240874640 is an equidigital number, since it uses as much as digits as its factorization.

1240874640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21308 (or 21287 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 36.

The square root of 1240874640 is about 35226.0505875978. The cubic root of 1240874640 is about 1074.5896079060.

The spelling of 1240874640 in words is "one billion, two hundred forty million, eight hundred seventy-four thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 36 40 45 48 54 60 72 80 81 90 108 120 135 144 162 180 216 240 243 270 324 360 405 432 486 540 648 720 729 810 972 1080 1215 1296 1458 1620 1944 2160 2430 2916 3240 3645 3888 4860 5832 6480 7290 9720 11664 14580 19440 21277 29160 42554 58320 63831 85108 106385 127662 170216 191493 212770 255324 319155 340432 382986 425540 510648 574479 638310 765972 851080 957465 1021296 1148958 1276620 1531944 1702160 1723437 1914930 2297916 2553240 2872395 3063888 3446874 3829860 4595832 5106480 5170311 5744790 6893748 7659720 8617185 9191664 10340622 11489580 13787496 15319440 15510933 17234370 20681244 22979160 25851555 27574992 31021866 34468740 41362488 45958320 51703110 62043732 68937480 77554665 82724976 103406220 124087464 137874960 155109330 206812440 248174928 310218660 413624880 620437320 1240874640