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23140832 = 2511132389
BaseRepresentation
bin101100001000…
…1100111100000
31121112200020212
41120101213200
521411001312
62143553252
7400456661
oct130214740
947480225
1023140832
1112076060
1278bb828
134a42c00
143105368
152071822
hex16119e0

23140832 has 72 divisors (see below), whose sum is σ = 53955720. Its totient is φ = 9684480.

The previous prime is 23140823. The next prime is 23140853. The reversal of 23140832 is 23804132.

It is a junction number, because it is equal to n+sod(n) for n = 23140798 and 23140807.

It is a congruent number.

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, 59294 + ... + 59682.

It is an arithmetic number, because the mean of its divisors is an integer number (749385).

Almost surely, 223140832 is an apocalyptic number.

23140832 is a gapful number since it is divisible by the number (22) 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 23140832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26977860).

23140832 is an abundant number, since it is smaller than the sum of its proper divisors (30814888).

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

23140832 is a wasteful number, since it uses less digits than its factorization.

23140832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 436 (or 415 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 23.

The square root of 23140832 is about 4810.4918667429. The cubic root of 23140832 is about 284.9659628994.

Adding to 23140832 its reverse (23804132), we get a palindrome (46944964).

The spelling of 23140832 in words is "twenty-three million, one hundred forty thousand, eight hundred thirty-two".

Divisors: 1 2 4 8 11 13 16 22 26 32 44 52 88 104 143 169 176 208 286 338 352 389 416 572 676 778 1144 1352 1556 1859 2288 2704 3112 3718 4279 4576 5057 5408 6224 7436 8558 10114 12448 14872 17116 20228 29744 34232 40456 55627 59488 65741 68464 80912 111254 131482 136928 161824 222508 262964 445016 525928 723151 890032 1051856 1446302 1780064 2103712 2892604 5785208 11570416 23140832