Search a number
-
+
3255104520 = 233259299733
BaseRepresentation
bin1100001000000100…
…1111010000001000
322101212001102221200
43002001033100020
523131301321040
61255000104200
7143443634433
oct30201172010
98355042850
103255104520
111420470228
1276a165060
133cb4c3465
1422c45081a
15140b85630
hexc204f408

3255104520 has 96 divisors (see below), whose sum is σ = 10591565400. Its totient is φ = 867004416.

The previous prime is 3255104497. The next prime is 3255104527. The reversal of 3255104520 is 254015523.

It is a happy number.

3255104520 is a `hidden beast` number, since 32 + 5 + 5 + 104 + 520 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 2285031204 + 970073316 = 47802^2 + 31146^2 .

It is a super-2 number, since 2×32551045202 = 21191410872248860800, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (3255104527) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 329574 + ... + 339306.

Almost surely, 23255104520 is an apocalyptic number.

3255104520 is a gapful number since it is divisible by the number (30) 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 3255104520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5295782700).

3255104520 is an abundant number, since it is smaller than the sum of its proper divisors (7336460880).

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

3255104520 is a wasteful number, since it uses less digits than its factorization.

3255104520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10679 (or 10672 counting only the distinct ones).

The product of its (nonzero) digits is 6000, while the sum is 27.

The square root of 3255104520 is about 57053.5232917302. The cubic root of 3255104520 is about 1482.0231219108.

The spelling of 3255104520 in words is "three billion, two hundred fifty-five million, one hundred four thousand, five hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 180 360 929 1858 2787 3716 4645 5574 7432 8361 9290 9733 11148 13935 16722 18580 19466 22296 27870 29199 33444 37160 38932 41805 48665 55740 58398 66888 77864 83610 87597 97330 111480 116796 145995 167220 175194 194660 233592 291990 334440 350388 389320 437985 583980 700776 875970 1167960 1751940 3503880 9041957 18083914 27125871 36167828 45209785 54251742 72335656 81377613 90419570 108503484 135629355 162755226 180839140 217006968 271258710 325510452 361678280 406888065 542517420 651020904 813776130 1085034840 1627552260 3255104520