Search a number
-
+
2700792040 = 2351729151907
BaseRepresentation
bin1010000011111010…
…1101000011101000
320222020000110011211
42200332231003220
521012400321130
61123555202504
7123633232162
oct24076550350
96866013154
102700792040
111166588041
126345a6434
133407030cb
141b899b932
1510c18ea2a
hexa0fad0e8

2700792040 has 128 divisors (see below), whose sum is σ = 6707577600. Its totient is φ = 974131200.

The previous prime is 2700792007. The next prime is 2700792041. The reversal of 2700792040 is 402970072.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 2700791993 and 2700792011.

It is not an unprimeable number, because it can be changed into a prime (2700792041) 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, 2977267 + ... + 2978173.

It is an arithmetic number, because the mean of its divisors is an integer number (52402950).

Almost surely, 22700792040 is an apocalyptic number.

2700792040 is a gapful number since it is divisible by the number (20) 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 2700792040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3353788800).

2700792040 is an abundant number, since it is smaller than the sum of its proper divisors (4006785560).

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

2700792040 is a wasteful number, since it uses less digits than its factorization.

2700792040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1115 (or 1111 counting only the distinct ones).

The product of its (nonzero) digits is 7056, while the sum is 31.

The square root of 2700792040 is about 51969.1450766703. The cubic root of 2700792040 is about 1392.6127969208.

The spelling of 2700792040 in words is "two billion, seven hundred million, seven hundred ninety-two thousand, forty".

Divisors: 1 2 4 5 8 10 17 20 29 34 40 58 68 85 116 136 145 151 170 232 290 302 340 493 580 604 680 755 907 986 1160 1208 1510 1814 1972 2465 2567 3020 3628 3944 4379 4535 4930 5134 6040 7256 8758 9070 9860 10268 12835 15419 17516 18140 19720 20536 21895 25670 26303 30838 35032 36280 43790 51340 52606 61676 74443 77095 87580 102680 105212 123352 131515 136957 148886 154190 175160 210424 263030 273914 297772 308380 372215 447151 526060 547828 595544 616760 684785 744430 894302 1052120 1095656 1369570 1488860 1788604 2235755 2328269 2739140 2977720 3577208 3971753 4471510 4656538 5478280 7943506 8943020 9313076 11641345 15887012 17886040 18626152 19858765 23282690 31774024 39717530 46565380 67519801 79435060 93130760 135039602 158870120 270079204 337599005 540158408 675198010 1350396020 2700792040