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1678113540 = 2232537251969
BaseRepresentation
bin110010000000101…
…1111101100000100
311022221200000000100
41210001133230010
511414044113130
6434303444100
756404505205
oct14401375404
94287600010
101678113540
117912845a4
123a9bb6630
132098855bc
1411cc295ac
159c4cdc60
hex6405fb04

1678113540 has 72 divisors (see below), whose sum is σ = 5227873560. Its totient is φ = 435400704.

The previous prime is 1678113529. The next prime is 1678113551. The reversal of 1678113540 is 453118761.

It is an interprime number because it is at equal distance from previous prime (1678113529) and next prime (1678113551).

It can be written as a sum of positive squares in 4 ways, for example, as 394181316 + 1283932224 = 19854^2 + 35832^2 .

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 = 1678113495 and 1678113504.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 119325 + ... + 132644.

It is an arithmetic number, because the mean of its divisors is an integer number (72609355).

Almost surely, 21678113540 is an apocalyptic number.

1678113540 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1678113540 is an abundant number, since it is smaller than the sum of its proper divisors (3549760020).

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

1678113540 is a wasteful number, since it uses less digits than its factorization.

1678113540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 252021 (or 252016 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 36.

The square root of 1678113540 is about 40964.7841444331. The cubic root of 1678113540 is about 1188.3392647345.

The spelling of 1678113540 in words is "one billion, six hundred seventy-eight million, one hundred thirteen thousand, five hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 37 45 60 74 90 111 148 180 185 222 333 370 444 555 666 740 1110 1332 1665 2220 3330 6660 251969 503938 755907 1007876 1259845 1511814 2267721 2519690 3023628 3779535 4535442 5039380 7559070 9070884 9322853 11338605 15118140 18645706 22677210 27968559 37291412 45354420 46614265 55937118 83905677 93228530 111874236 139842795 167811354 186457060 279685590 335622708 419528385 559371180 839056770 1678113540