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2640256300 = 22521121131931
BaseRepresentation
bin1001110101011111…
…0001110100101100
320211000002220202101
42131113301310230
520401401200200
61113553504444
7122266544143
oct23527616454
96730086671
102640256300
1111353a0700
12618272124
13330cc9346
141b092075a
15106bd326a
hex9d5f1d2c

2640256300 has 108 divisors (see below), whose sum is σ = 6356577528. Its totient is φ = 951104000.

The previous prime is 2640256277. The next prime is 2640256301. The reversal of 2640256300 is 36520462.

It is a happy number.

It is a hoax number, since the sum of its digits (28) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (2640256301) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1366335 + ... + 1368265.

Almost surely, 22640256300 is an apocalyptic number.

2640256300 is a gapful number since it is divisible by the number (20) 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 2640256300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3178288764).

2640256300 is an abundant number, since it is smaller than the sum of its proper divisors (3716321228).

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

2640256300 is a wasteful number, since it uses less digits than its factorization.

2640256300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2080 (or 2062 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 28.

The square root of 2640256300 is about 51383.4243701215. The cubic root of 2640256300 is about 1382.1293703497.

Adding to 2640256300 its reverse (36520462), we get a palindrome (2676776762).

The spelling of 2640256300 in words is "two billion, six hundred forty million, two hundred fifty-six thousand, three hundred".

Divisors: 1 2 4 5 10 11 20 22 25 44 50 55 100 110 113 121 220 226 242 275 452 484 550 565 605 1100 1130 1210 1243 1931 2260 2420 2486 2825 3025 3862 4972 5650 6050 6215 7724 9655 11300 12100 12430 13673 19310 21241 24860 27346 31075 38620 42482 48275 54692 62150 68365 84964 96550 106205 124300 136730 193100 212410 218203 233651 273460 341825 424820 436406 467302 531025 683650 872812 934604 1062050 1091015 1168255 1367300 2124100 2182030 2336510 2400233 4364060 4673020 4800466 5455075 5841275 9600932 10910150 11682550 12001165 21820300 23365100 24002330 26402563 48004660 52805126 60005825 105610252 120011650 132012815 240023300 264025630 528051260 660064075 1320128150 2640256300