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4076940 = 2235717571
BaseRepresentation
bin1111100011010110001100
321200010111210
433203112030
52020430230
6223214420
746440060
oct17432614
97603453
104076940
11233507a
121447410
13ac98ba
14781aa0
15557eb0
hex3e358c

4076940 has 96 divisors (see below), whose sum is σ = 13837824. Its totient is φ = 875520.

The previous prime is 4076881. The next prime is 4076951. The reversal of 4076940 is 496704.

4076940 = T200 + T201 + ... + T318.

4076940 is a nontrivial binomial coefficient, being equal to C(2856, 2).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 4076898 and 4076907.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6855 + ... + 7425.

It is an arithmetic number, because the mean of its divisors is an integer number (144144).

Almost surely, 24076940 is an apocalyptic number.

4076940 is the 2855-th triangular number and also the 1428-th hexagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4076940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6918912).

4076940 is an abundant number, since it is smaller than the sum of its proper divisors (9760884).

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

4076940 is a wasteful number, since it uses less digits than its factorization.

4076940 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 607 (or 605 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 30.

The square root of 4076940 is about 2019.1433827245. The cubic root of 4076940 is about 159.7514369693.

The spelling of 4076940 in words is "four million, seventy-six thousand, nine hundred forty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 17 20 21 28 30 34 35 42 51 60 68 70 84 85 102 105 119 140 170 204 210 238 255 340 357 420 476 510 571 595 714 1020 1142 1190 1428 1713 1785 2284 2380 2855 3426 3570 3997 5710 6852 7140 7994 8565 9707 11420 11991 15988 17130 19414 19985 23982 29121 34260 38828 39970 47964 48535 58242 59955 67949 79940 97070 116484 119910 135898 145605 194140 203847 239820 271796 291210 339745 407694 582420 679490 815388 1019235 1358980 2038470 4076940