Search a number
-
+
23026640 = 2457133163
BaseRepresentation
bin101011111010…
…1101111010000
31121022212121112
41113311233100
521343323030
62141312452
7366503030
oct127655720
947285545
1023026640
1111aa828a
127865728
134a02c40
1430b58c0
15204ca95
hex15f5bd0

23026640 has 80 divisors (see below), whose sum is σ = 65912448. Its totient is φ = 7285248.

The previous prime is 23026631. The next prime is 23026699. The reversal of 23026640 is 4662032.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×230266402 = 1060452299379200, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5699 + ... + 8861.

Almost surely, 223026640 is an apocalyptic number.

23026640 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 23026640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32956224).

23026640 is an abundant number, since it is smaller than the sum of its proper divisors (42885808).

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

23026640 is a wasteful number, since it uses less digits than its factorization.

23026640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3196 (or 3190 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 23.

The square root of 23026640 is about 4798.6081315315. The cubic root of 23026640 is about 284.4964536155.

Adding to 23026640 its reverse (4662032), we get a palindrome (27688672).

The spelling of 23026640 in words is "twenty-three million, twenty-six thousand, six hundred forty".

Divisors: 1 2 4 5 7 8 10 13 14 16 20 26 28 35 40 52 56 65 70 80 91 104 112 130 140 182 208 260 280 364 455 520 560 728 910 1040 1456 1820 3163 3640 6326 7280 12652 15815 22141 25304 31630 41119 44282 50608 63260 82238 88564 110705 126520 164476 177128 205595 221410 253040 287833 328952 354256 411190 442820 575666 657904 822380 885640 1151332 1439165 1644760 1771280 2302664 2878330 3289520 4605328 5756660 11513320 23026640