Search a number
-
+
6976342290 = 23519234112979
BaseRepresentation
bin1100111111101001…
…01000100100010010
3200000012012220111210
412133310220210102
5103241420423130
63112131120550
7334610634231
oct63764504422
920005186453
106976342290
112a5aa66245
121428443156
138724419b8
144a275cb18
152ac6e45b0
hex19fd28912

6976342290 has 128 divisors (see below), whose sum is σ = 18840729600. Its totient is φ = 1644572160.

The previous prime is 6976342273. The next prime is 6976342291. The reversal of 6976342290 is 922436796.

6976342290 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (6976342291) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 531021 + ... + 543999.

It is an arithmetic number, because the mean of its divisors is an integer number (147193200).

Almost surely, 26976342290 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6976342290, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9420364800).

6976342290 is an abundant number, since it is smaller than the sum of its proper divisors (11864387310).

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

6976342290 is a wasteful number, since it uses less digits than its factorization.

6976342290 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13072.

The product of its (nonzero) digits is 979776, while the sum is 48.

The square root of 6976342290 is about 83524.5011358943. The cubic root of 6976342290 is about 1910.7737232428.

The spelling of 6976342290 in words is "six billion, nine hundred seventy-six million, three hundred forty-two thousand, two hundred ninety".

Divisors: 1 2 3 5 6 10 15 19 23 30 38 41 46 57 69 82 95 114 115 123 138 190 205 230 246 285 345 410 437 570 615 690 779 874 943 1230 1311 1558 1886 2185 2337 2622 2829 3895 4370 4674 4715 5658 6555 7790 9430 11685 12979 13110 14145 17917 23370 25958 28290 35834 38937 53751 64895 77874 89585 107502 129790 179170 194685 246601 268755 298517 389370 493202 532139 537510 597034 739803 895551 1064278 1233005 1479606 1492585 1596417 1791102 2466010 2660695 2985170 3192834 3699015 4477755 5321390 5671823 7398030 7982085 8955510 10110641 11343646 12239197 15964170 17015469 20221282 24478394 28359115 30331923 34030938 36717591 50553205 56718230 60663846 61195985 73435182 85077345 101106410 122391970 151659615 170154690 183587955 232544743 303319230 367175910 465089486 697634229 1162723715 1395268458 2325447430 3488171145 6976342290