Search a number
-
+
100026256 = 24114313217
BaseRepresentation
bin1011111011001…
…00011110010000
320222012212020011
411331210132100
5201101320011
613531524304
72323131511
oct575443620
9228185204
10100026256
115150a230
12295b9694
1317952745
14d3daa08
158bac621
hex5f64790

100026256 has 40 divisors (see below), whose sum is σ = 216352224. Its totient is φ = 44405760.

The previous prime is 100026253. The next prime is 100026257. The reversal of 100026256 is 652620001.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is not an unprimeable number, because it can be changed into a prime (100026253) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 960 + ... + 14176.

Almost surely, 2100026256 is an apocalyptic number.

100026256 is a gapful number since it is divisible by the number (16) 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 100026256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108176112).

100026256 is an abundant number, since it is smaller than the sum of its proper divisors (116325968).

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

100026256 is a wasteful number, since it uses less digits than its factorization.

100026256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13279 (or 13273 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 22.

The square root of 100026256 is about 10001.3127138391. The cubic root of 100026256 is about 464.1995029919.

Adding to 100026256 its reverse (652620001), we get a palindrome (752646257).

The spelling of 100026256 in words is "one hundred million, twenty-six thousand, two hundred fifty-six".

Divisors: 1 2 4 8 11 16 22 43 44 86 88 172 176 344 473 688 946 1892 3784 7568 13217 26434 52868 105736 145387 211472 290774 568331 581548 1136662 1163096 2273324 2326192 4546648 6251641 9093296 12503282 25006564 50013128 100026256