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3133496940 = 2235766111287
BaseRepresentation
bin1011101011000101…
…0101111001101100
322002101020010201020
42322301111321230
522404133400230
61234533414140
7140436166410
oct27261257154
98071203636
103133496940
1113688606a2
1273549a350
133ac255902
1421a236d40
15135163810
hexbac55e6c

3133496940 has 96 divisors (see below), whose sum is σ = 10043249664. Its totient is φ = 715080960.

The previous prime is 3133496939. The next prime is 3133496941. The reversal of 3133496940 is 496943313.

It is an interprime number because it is at equal distance from previous prime (3133496939) and next prime (3133496941).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 3133496892 and 3133496901.

It is not an unprimeable number, because it can be changed into a prime (3133496941) 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, 271977 + ... + 283263.

It is an arithmetic number, because the mean of its divisors is an integer number (104617184).

Almost surely, 23133496940 is an apocalyptic number.

3133496940 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 3133496940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5021624832).

3133496940 is an abundant number, since it is smaller than the sum of its proper divisors (6909752724).

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

3133496940 is a wasteful number, since it uses less digits than its factorization.

3133496940 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11967 (or 11965 counting only the distinct ones).

The product of its (nonzero) digits is 209952, while the sum is 42.

The square root of 3133496940 is about 55977.6467886959. The cubic root of 3133496940 is about 1463.3327474545.

The spelling of 3133496940 in words is "three billion, one hundred thirty-three million, four hundred ninety-six thousand, nine hundred forty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 42 60 70 84 105 140 210 420 661 1322 1983 2644 3305 3966 4627 6610 7932 9254 9915 11287 13220 13881 18508 19830 22574 23135 27762 33861 39660 45148 46270 55524 56435 67722 69405 79009 92540 112870 135444 138810 158018 169305 225740 237027 277620 316036 338610 395045 474054 677220 790090 948108 1185135 1580180 2370270 4740540 7460707 14921414 22382121 29842828 37303535 44764242 52224949 74607070 89528484 104449898 111910605 149214140 156674847 208899796 223821210 261124745 313349694 447642420 522249490 626699388 783374235 1044498980 1566748470 3133496940