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2135135940 = 223575083657
BaseRepresentation
bin111111101000011…
…1001011011000100
312111210122010212220
41333100321123010
513333043322230
6551511212340
7103624233060
oct17720713304
95453563786
102135135940
119a6257263
124b70770b0
13280470762
141637d4aa0
15c76a7d10
hex7f4396c4

2135135940 has 48 divisors (see below), whose sum is σ = 6832436352. Its totient is φ = 488030976.

The previous prime is 2135135939. The next prime is 2135135941. The reversal of 2135135940 is 495315312.

It is an interprime number because it is at equal distance from previous prime (2135135939) and next prime (2135135941).

It is not an unprimeable number, because it can be changed into a prime (2135135941) 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 15 ways as a sum of consecutive naturals, for example, 2541409 + ... + 2542248.

It is an arithmetic number, because the mean of its divisors is an integer number (142342424).

Almost surely, 22135135940 is an apocalyptic number.

2135135940 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2135135940 is an abundant number, since it is smaller than the sum of its proper divisors (4697300412).

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

2135135940 is a wasteful number, since it uses less digits than its factorization.

2135135940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5083676 (or 5083674 counting only the distinct ones).

The product of its (nonzero) digits is 16200, while the sum is 33.

The square root of 2135135940 is about 46207.5312043394. The cubic root of 2135135940 is about 1287.6816602316.

It can be divided in two parts, 213513 and 5940, that added together give a triangular number (219453 = T662).

The spelling of 2135135940 in words is "two billion, one hundred thirty-five million, one hundred thirty-five thousand, nine hundred forty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 42 60 70 84 105 140 210 420 5083657 10167314 15250971 20334628 25418285 30501942 35585599 50836570 61003884 71171198 76254855 101673140 106756797 142342396 152509710 177927995 213513594 305019420 355855990 427027188 533783985 711711980 1067567970 2135135940