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1376142680 = 2351121571811
BaseRepresentation
bin101001000000110…
…0100010101011000
310112220110021212102
41102001210111120
510304243031210
6344315302532
746050006533
oct12201442530
93486407772
101376142680
11646884400
12324a4aa48
1318c147713
14d0aa1a1a
1580c30ea5
hex52064558

1376142680 has 96 divisors (see below), whose sum is σ = 3426963120. Its totient is φ = 496953600.

The previous prime is 1376142671. The next prime is 1376142701. The reversal of 1376142680 is 862416731.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 758975 + ... + 760785.

Almost surely, 21376142680 is an apocalyptic number.

1376142680 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 1376142680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1713481560).

1376142680 is an abundant number, since it is smaller than the sum of its proper divisors (2050820440).

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

1376142680 is a wasteful number, since it uses less digits than its factorization.

1376142680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2001 (or 1986 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 38.

The square root of 1376142680 is about 37096.3971296405. The cubic root of 1376142680 is about 1112.2979960630.

The spelling of 1376142680 in words is "one billion, three hundred seventy-six million, one hundred forty-two thousand, six hundred eighty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 55 88 110 121 157 220 242 314 440 484 605 628 785 968 1210 1256 1570 1727 1811 2420 3140 3454 3622 4840 6280 6908 7244 8635 9055 13816 14488 17270 18110 18997 19921 34540 36220 37994 39842 69080 72440 75988 79684 94985 99605 151976 159368 189970 199210 219131 284327 379940 398420 438262 568654 759880 796840 876524 1095655 1137308 1421635 1753048 2191310 2274616 2843270 3127597 4382620 5686540 6255194 8765240 11373080 12510388 15637985 25020776 31275970 34403567 62551940 68807134 125103880 137614268 172017835 275228536 344035670 688071340 1376142680