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1382537340 = 223257680763
BaseRepresentation
bin101001001100111…
…1101100001111100
310120100111011200200
41102121331201330
510312412143330
6345104323500
746155242052
oct12231754174
93510434620
101382537340
1164a451848
12327013590
13190576242
14d18881d2
1581595a60
hex5267d87c

1382537340 has 36 divisors (see below), whose sum is σ = 4193697144. Its totient is φ = 368676576.

The previous prime is 1382537339. The next prime is 1382537341. The reversal of 1382537340 is 437352831.

1382537340 is a `hidden beast` number, since 1 + 3 + 82 + 537 + 3 + 40 = 666.

It is an interprime number because it is at equal distance from previous prime (1382537339) and next prime (1382537341).

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×13825373402 = 3822818992988551200, which contains 22 as substring.

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 = 1382537295 and 1382537304.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1382537341) 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 11 ways as a sum of consecutive naturals, for example, 3840202 + ... + 3840561.

Almost surely, 21382537340 is an apocalyptic number.

1382537340 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1382537340 is an abundant number, since it is smaller than the sum of its proper divisors (2811159804).

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

1382537340 is a wasteful number, since it uses less digits than its factorization.

1382537340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7680778 (or 7680773 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

The square root of 1382537340 is about 37182.4870066541. The cubic root of 1382537340 is about 1114.0182098067.

The spelling of 1382537340 in words is "one billion, three hundred eighty-two million, five hundred thirty-seven thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 7680763 15361526 23042289 30723052 38403815 46084578 69126867 76807630 92169156 115211445 138253734 153615260 230422890 276507468 345634335 460845780 691268670 1382537340