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3135277380 = 2235314141113
BaseRepresentation
bin1011101011100000…
…1000100101000100
322002111120121000110
42322320020211010
522410112334010
61235035513020
7140460263244
oct27270104504
98074517013
103135277380
111369867334
12735bb8770
133ac72a121
1421a57bb24
151353b6120
hexbae08944

3135277380 has 96 divisors (see below), whose sum is σ = 9283212288. Its totient is φ = 789350400.

The previous prime is 3135277367. The next prime is 3135277391. The reversal of 3135277380 is 837725313.

It is a happy number.

It is a super-3 number, since 3×31352773803 (a number of 29 digits) contains 333 as substring.

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 31 ways as a sum of consecutive naturals, for example, 55704 + ... + 96816.

It is an arithmetic number, because the mean of its divisors is an integer number (96700128).

Almost surely, 23135277380 is an apocalyptic number.

3135277380 is a gapful number since it is divisible by the number (30) 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 3135277380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4641606144).

3135277380 is an abundant number, since it is smaller than the sum of its proper divisors (6147934908).

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

3135277380 is a wasteful number, since it uses less digits than its factorization.

3135277380 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41197 (or 41195 counting only the distinct ones).

The product of its (nonzero) digits is 105840, while the sum is 39.

The square root of 3135277380 is about 55993.5476639943. The cubic root of 3135277380 is about 1463.6098481834.

The spelling of 3135277380 in words is "three billion, one hundred thirty-five million, two hundred seventy-seven thousand, three hundred eighty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 31 41 60 62 82 93 123 124 155 164 186 205 246 310 372 410 465 492 615 620 820 930 1230 1271 1860 2460 2542 3813 5084 6355 7626 12710 15252 19065 25420 38130 41113 76260 82226 123339 164452 205565 246678 411130 493356 616695 822260 1233390 1274503 1685633 2466780 2549006 3371266 3823509 5056899 5098012 6372515 6742532 7647018 8428165 10113798 12745030 15294036 16856330 19117545 20227596 25284495 25490060 33712660 38235090 50568990 52254623 76470180 101137980 104509246 156763869 209018492 261273115 313527738 522546230 627055476 783819345 1045092460 1567638690 3135277380