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2083406696 = 23731989449
BaseRepresentation
bin111110000101110…
…0100001101101000
312101012022000200222
41330023210031220
513231323003241
6542422345212
7102425444000
oct17413441550
95335260628
102083406696
1197a035318
124a188b208
1327282b237
1415a9ab000
15c2d8aa4b
hex7c2e4368

2083406696 has 128 divisors (see below), whose sum is σ = 4860000000. Its totient is φ = 834527232.

The previous prime is 2083406683. The next prime is 2083406827. The reversal of 2083406696 is 6966043802.

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, 4639880 + ... + 4640328.

It is an arithmetic number, because the mean of its divisors is an integer number (37968750).

Almost surely, 22083406696 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2083406696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2430000000).

2083406696 is an abundant number, since it is smaller than the sum of its proper divisors (2776593304).

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

2083406696 is a wasteful number, since it uses less digits than its factorization.

2083406696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 584 (or 566 counting only the distinct ones).

The product of its (nonzero) digits is 373248, while the sum is 44.

The square root of 2083406696 is about 45644.3500994373. The cubic root of 2083406696 is about 1277.1973787475.

The spelling of 2083406696 in words is "two billion, eighty-three million, four hundred six thousand, six hundred ninety-six".

Divisors: 1 2 4 7 8 14 19 28 38 49 56 76 89 98 133 152 178 196 266 343 356 392 449 532 623 686 712 898 931 1064 1246 1372 1691 1796 1862 2492 2744 3143 3382 3592 3724 4361 4984 6286 6517 6764 7448 8531 8722 11837 12572 13034 13528 17062 17444 22001 23674 25144 26068 30527 34124 34888 39961 44002 47348 52136 59717 61054 68248 79922 82859 88004 94696 119434 122108 154007 159844 165718 176008 238868 244216 279727 308014 319688 331436 418019 477736 559454 580013 616028 662872 759259 836038 1118908 1160026 1232056 1518518 1672076 1958089 2237816 2320052 2926133 3037036 3344152 3916178 4640104 5314813 5852266 6074072 7832356 10629626 11704532 13706623 15664712 21259252 23409064 27413246 37203691 42518504 54826492 74407382 109652984 148814764 260425837 297629528 520851674 1041703348 2083406696