Search a number
-
+
3055520 = 255132113
BaseRepresentation
bin1011101001111110100000
312202020101102
423221332200
51240234040
6145253532
734654136
oct13517640
95666342
103055520
1117a7726
1210342a8
1382ca00
14597756
15405515
hex2e9fa0

3055520 has 72 divisors (see below), whose sum is σ = 7885836. Its totient is φ = 1118208.

The previous prime is 3055519. The next prime is 3055567. The reversal of 3055520 is 255503.

3055520 = 1842 + 1852 + ... + 2482.

It can be written as a sum of positive squares in 6 ways, for example, as 16 + 3055504 = 4^2 + 1748^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 3055492 and 3055501.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 26984 + ... + 27096.

Almost surely, 23055520 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 3055520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3942918).

3055520 is an abundant number, since it is smaller than the sum of its proper divisors (4830316).

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

3055520 is a wasteful number, since it uses less digits than its factorization.

3055520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 154 (or 133 counting only the distinct ones).

The product of its (nonzero) digits is 750, while the sum is 20.

The square root of 3055520 is about 1748.0045766530. The cubic root of 3055520 is about 145.1092320006.

The spelling of 3055520 in words is "three million, fifty-five thousand, five hundred twenty".

Divisors: 1 2 4 5 8 10 13 16 20 26 32 40 52 65 80 104 113 130 160 169 208 226 260 338 416 452 520 565 676 845 904 1040 1130 1352 1469 1690 1808 2080 2260 2704 2938 3380 3616 4520 5408 5876 6760 7345 9040 11752 13520 14690 18080 19097 23504 27040 29380 38194 47008 58760 76388 95485 117520 152776 190970 235040 305552 381940 611104 763880 1527760 3055520