Search a number
-
+
2260643520 = 26352354837
BaseRepresentation
bin1000011010111110…
…1010111011000000
312211112210120220210
42012233222323000
514112211043040
61012153234120
7110010103302
oct20657527300
95745716823
102260643520
11a6008aa33
12531102940
132a04754b5
14176345972
15d36ea480
hex86beaec0

2260643520 has 56 divisors (see below), whose sum is σ = 7177546224. Its totient is φ = 602838016.

The previous prime is 2260643507. The next prime is 2260643531. The reversal of 2260643520 is 253460622.

2260643520 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×22606435202 = 10221018249035980800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1176459 + ... + 1178378.

Almost surely, 22260643520 is an apocalyptic number.

2260643520 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2260643520 is an abundant number, since it is smaller than the sum of its proper divisors (4916902704).

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

2260643520 is a wasteful number, since it uses less digits than its factorization.

2260643520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2354857 (or 2354847 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 30.

The square root of 2260643520 is about 47546.2250867511. The cubic root of 2260643520 is about 1312.4336634046.

The spelling of 2260643520 in words is "two billion, two hundred sixty million, six hundred forty-three thousand, five hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 160 192 240 320 480 960 2354837 4709674 7064511 9419348 11774185 14129022 18838696 23548370 28258044 35322555 37677392 47096740 56516088 70645110 75354784 94193480 113032176 141290220 150709568 188386960 226064352 282580440 376773920 452128704 565160880 753547840 1130321760 2260643520