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1340120540 = 22511171918859
BaseRepresentation
bin100111111100000…
…1001110111011100
310110101200011210002
41033320021313130
510221032324130
6340551233432
745131556653
oct11770116734
93411604702
101340120540
11628510440
12314978878
13184844645
14c9da619a
157c9b7b45
hex4fe09ddc

1340120540 has 96 divisors (see below), whose sum is σ = 3421958400. Its totient is φ = 434488320.

The previous prime is 1340120477. The next prime is 1340120543. The reversal of 1340120540 is 450210431.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1340120543) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 61631 + ... + 80489.

It is an arithmetic number, because the mean of its divisors is an integer number (35645400).

Almost surely, 21340120540 is an apocalyptic number.

1340120540 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 1340120540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1710979200).

1340120540 is an abundant number, since it is smaller than the sum of its proper divisors (2081837860).

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

1340120540 is a wasteful number, since it uses less digits than its factorization.

1340120540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18915 (or 18913 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 20.

The square root of 1340120540 is about 36607.6568493533. The cubic root of 1340120540 is about 1102.5068282169.

Adding to 1340120540 its reverse (450210431), we get a palindrome (1790330971).

The spelling of 1340120540 in words is "one billion, three hundred forty million, one hundred twenty thousand, five hundred forty".

Divisors: 1 2 4 5 10 11 17 19 20 22 34 38 44 55 68 76 85 95 110 170 187 190 209 220 323 340 374 380 418 646 748 836 935 1045 1292 1615 1870 2090 3230 3553 3740 4180 6460 7106 14212 17765 18859 35530 37718 71060 75436 94295 188590 207449 320603 358321 377180 414898 641206 716642 829796 1037245 1282412 1433284 1603015 1791605 2074490 3206030 3526633 3583210 3941531 4148980 6091457 6412060 7053266 7166420 7883062 12182914 14106532 15766124 17633165 19707655 24365828 30457285 35266330 39415310 60914570 67006027 70532660 78830620 121829140 134012054 268024108 335030135 670060270 1340120540