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3116358540 = 2232531375519
BaseRepresentation
bin1011100110111111…
…1101101110001100
322001011222102020200
42321233331232030
522340241433130
61233122213500
7140140416261
oct27157755614
98034872220
103116358540
11135a115329
1272b7b4290
133a8834b49
14217c55268
151338ca760
hexb9bfdb8c

3116358540 has 72 divisors (see below), whose sum is σ = 9457680960. Its totient is φ = 830613504.

The previous prime is 3116358533. The next prime is 3116358541. The reversal of 3116358540 is 458536113.

3116358540 is a `hidden beast` number, since 3 + 1 + 1 + 63 + 58 + 540 = 666.

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 = 3116358495 and 3116358504.

It is not an unprimeable number, because it can be changed into a prime (3116358541) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 561901 + ... + 567419.

It is an arithmetic number, because the mean of its divisors is an integer number (131356680).

Almost surely, 23116358540 is an apocalyptic number.

3116358540 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3116358540 is an abundant number, since it is smaller than the sum of its proper divisors (6341322420).

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

3116358540 is a wasteful number, since it uses less digits than its factorization.

3116358540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8671 (or 8666 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 36.

The square root of 3116358540 is about 55824.3543625898. The cubic root of 3116358540 is about 1460.6600099654.

The spelling of 3116358540 in words is "three billion, one hundred sixteen million, three hundred fifty-eight thousand, five hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 3137 5519 6274 9411 11038 12548 15685 16557 18822 22076 27595 28233 31370 33114 37644 47055 49671 55190 56466 62740 66228 82785 94110 99342 110380 112932 141165 165570 188220 198684 248355 282330 331140 496710 564660 993420 17313103 34626206 51939309 69252412 86565515 103878618 155817927 173131030 207757236 259696545 311635854 346262060 519393090 623271708 779089635 1038786180 1558179270 3116358540