Search a number
-
+
8608201940 = 225131719102503
BaseRepresentation
bin10000000010001011…
…01011110011010100
3211012220211222010002
420001011223303110
5120112144430230
63542103350432
7423214336442
oct100105536324
924186758102
108608201940
113718118588
121802a52418
13a72551020
145b9387b92
15355ad8545
hex20116bcd4

8608201940 has 96 divisors (see below), whose sum is σ = 21698046720. Its totient is φ = 2833975296.

The previous prime is 8608201933. The next prime is 8608201969. The reversal of 8608201940 is 491028068.

It is a super-2 number, since 2×86082019402 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (38).

It is a junction number, because it is equal to n+sod(n) for n = 8608201894 and 8608201903.

It is a congruent number.

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, 32729 + ... + 135231.

It is an arithmetic number, because the mean of its divisors is an integer number (226021320).

Almost surely, 28608201940 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 8608201940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10849023360).

8608201940 is an abundant number, since it is smaller than the sum of its proper divisors (13089844780).

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

8608201940 is a wasteful number, since it uses less digits than its factorization.

8608201940 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 102561 (or 102559 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 38.

The square root of 8608201940 is about 92780.3963130143. The cubic root of 8608201940 is about 2049.4507304961.

The spelling of 8608201940 in words is "eight billion, six hundred eight million, two hundred one thousand, nine hundred forty".

Divisors: 1 2 4 5 10 13 17 19 20 26 34 38 52 65 68 76 85 95 130 170 190 221 247 260 323 340 380 442 494 646 884 988 1105 1235 1292 1615 2210 2470 3230 4199 4420 4940 6460 8398 16796 20995 41990 83980 102503 205006 410012 512515 1025030 1332539 1742551 1947557 2050060 2665078 3485102 3895114 5330156 6662695 6970204 7790228 8712755 9737785 13325390 17425510 19475570 22653163 25318241 26650780 33108469 34851020 38951140 45306326 50636482 66216938 90612652 101272964 113265815 126591205 132433876 165542345 226531630 253182410 331084690 430410097 453063260 506364820 662169380 860820194 1721640388 2152050485 4304100970 8608201940