Search a number
-
+
2690835940 = 22513431012383
BaseRepresentation
bin1010000001100010…
…1110010111100100
320221112021121222101
42200120232113210
521002323222230
61123001541444
7123452504512
oct24030562744
96845247871
102690835940
1111609a7961
126311a4884
1333b628520
141b75294b2
1510b374aca
hexa062e5e4

2690835940 has 96 divisors (see below), whose sum is σ = 6291242496. Its totient is φ = 960422400.

The previous prime is 2690835919. The next prime is 2690835943. The reversal of 2690835940 is 495380962.

It is not an unprimeable number, because it can be changed into a prime (2690835943) 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, 1127989 + ... + 1130371.

It is an arithmetic number, because the mean of its divisors is an integer number (65533776).

Almost surely, 22690835940 is an apocalyptic number.

2690835940 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 2690835940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3145621248).

2690835940 is an abundant number, since it is smaller than the sum of its proper divisors (3600406556).

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

2690835940 is a wasteful number, since it uses less digits than its factorization.

2690835940 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2549 (or 2547 counting only the distinct ones).

The product of its (nonzero) digits is 466560, while the sum is 46.

The square root of 2690835940 is about 51873.2680674738. The cubic root of 2690835940 is about 1390.8994644154.

The spelling of 2690835940 in words is "two billion, six hundred ninety million, eight hundred thirty-five thousand, nine hundred forty".

Divisors: 1 2 4 5 10 13 20 26 43 52 65 86 101 130 172 202 215 260 404 430 505 559 860 1010 1118 1313 2020 2236 2383 2626 2795 4343 4766 5252 5590 6565 8686 9532 11180 11915 13130 17372 21715 23830 26260 30979 43430 47660 56459 61958 86860 102469 112918 123916 154895 204938 225836 240683 282295 309790 409876 481366 512345 564590 619580 962732 1024690 1129180 1203415 1332097 2049380 2406830 2664194 3128879 4813660 5328388 6257758 6660485 10349369 12515516 13320970 15644395 20698738 26641940 31288790 41397476 51746845 62577580 103493690 134541797 206987380 269083594 538167188 672708985 1345417970 2690835940