Search a number
-
+
2076595296 = 253237691223
BaseRepresentation
bin111101111000110…
…0101010001100000
312100201110222012220
41323301211101200
513223102022141
6542020351040
7102313524456
oct17361452140
95321428186
102076595296
11976202866
1249b545480
132712b4b19
14159b169d6
15c2492766
hex7bc65460

2076595296 has 96 divisors (see below), whose sum is σ = 5700119040. Its totient is φ = 660701184.

The previous prime is 2076595277. The next prime is 2076595309. The reversal of 2076595296 is 6925956702.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1697341 + ... + 1698563.

It is an arithmetic number, because the mean of its divisors is an integer number (59376240).

Almost surely, 22076595296 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 2076595296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2850059520).

2076595296 is an abundant number, since it is smaller than the sum of its proper divisors (3623523744).

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

2076595296 is a wasteful number, since it uses less digits than its factorization.

2076595296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2028 (or 2020 counting only the distinct ones).

The product of its (nonzero) digits is 2041200, while the sum is 51.

The square root of 2076595296 is about 45569.6751798825. The cubic root of 2076595296 is about 1275.8039878025.

The spelling of 2076595296 in words is "two billion, seventy-six million, five hundred ninety-five thousand, two hundred ninety-six".

Divisors: 1 2 3 4 6 8 12 16 23 24 32 46 48 69 92 96 138 184 276 368 552 736 769 1104 1223 1538 2208 2307 2446 3076 3669 4614 4892 6152 7338 9228 9784 12304 14676 17687 18456 19568 24608 28129 29352 35374 36912 39136 53061 56258 58704 70748 73824 84387 106122 112516 117408 141496 168774 212244 225032 282992 337548 424488 450064 565984 675096 848976 900128 940487 1350192 1697952 1880974 2700384 2821461 3761948 5642922 7523896 11285844 15047792 21631201 22571688 30095584 43262402 45143376 64893603 86524804 90286752 129787206 173049608 259574412 346099216 519148824 692198432 1038297648 2076595296