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3083581140 = 2235835031231
BaseRepresentation
bin1011011111001011…
…1011011011010100
321221220022011002220
42313302323123110
522303344044030
61225551502340
7136262002323
oct26762733324
97856264086
103083581140
111342668172
127208279b0
133a1ac9933
142137620ba
15130aa3a10
hexb7cbb6d4

3083581140 has 96 divisors (see below), whose sum is σ = 8762535936. Its totient is φ = 810107520.

The previous prime is 3083581099. The next prime is 3083581141. The reversal of 3083581140 is 411853803.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3083581141) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2504325 + ... + 2505555.

It is an arithmetic number, because the mean of its divisors is an integer number (91276416).

Almost surely, 23083581140 is an apocalyptic number.

3083581140 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 3083581140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4381267968).

3083581140 is an abundant number, since it is smaller than the sum of its proper divisors (5678954796).

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

3083581140 is a wasteful number, since it uses less digits than its factorization.

3083581140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1829 (or 1827 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 33.

The square root of 3083581140 is about 55530.0021609940. The cubic root of 3083581140 is about 1455.5209480686.

The spelling of 3083581140 in words is "three billion, eighty-three million, five hundred eighty-one thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 83 166 249 332 415 498 503 830 996 1006 1231 1245 1509 1660 2012 2462 2490 2515 3018 3693 4924 4980 5030 6036 6155 7386 7545 10060 12310 14772 15090 18465 24620 30180 36930 41749 73860 83498 102173 125247 166996 204346 208745 250494 306519 408692 417490 500988 510865 613038 619193 626235 834980 1021730 1226076 1238386 1252470 1532595 1857579 2043460 2476772 2504940 3065190 3095965 3715158 6130380 6191930 7430316 9287895 12383860 18575790 37151580 51393019 102786038 154179057 205572076 256965095 308358114 513930190 616716228 770895285 1027860380 1541790570 3083581140