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23257740 = 223511131269
BaseRepresentation
bin101100010111…
…0001010001100
31121202121121210
41120232022030
521423221430
62150254420
7401454552
oct130561214
947677553
1023257740
1112145980
127957410
134a8419c
143135bd2
1520962b0
hex162e28c

23257740 has 96 divisors (see below), whose sum is σ = 71850240. Its totient is φ = 5574400.

The previous prime is 23257723. The next prime is 23257753. The reversal of 23257740 is 4775232.

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

It is a junction number, because it is equal to n+sod(n) for n = 23257698 and 23257707.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 86326 + ... + 86594.

It is an arithmetic number, because the mean of its divisors is an integer number (748440).

Almost surely, 223257740 is an apocalyptic number.

23257740 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 23257740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35925120).

23257740 is an abundant number, since it is smaller than the sum of its proper divisors (48592500).

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

23257740 is a wasteful number, since it uses less digits than its factorization.

23257740 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 423 (or 421 counting only the distinct ones).

The product of its (nonzero) digits is 11760, while the sum is 30.

The square root of 23257740 is about 4822.6279143222. The cubic root of 23257740 is about 285.4450418330.

The spelling of 23257740 in words is "twenty-three million, two hundred fifty-seven thousand, seven hundred forty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 30 33 44 55 60 66 110 131 132 165 220 262 269 330 393 524 538 655 660 786 807 1076 1310 1345 1441 1572 1614 1965 2620 2690 2882 2959 3228 3930 4035 4323 5380 5764 5918 7205 7860 8070 8646 8877 11836 14410 14795 16140 17292 17754 21615 28820 29590 35239 35508 43230 44385 59180 70478 86460 88770 105717 140956 176195 177540 211434 352390 387629 422868 528585 704780 775258 1057170 1162887 1550516 1938145 2114340 2325774 3876290 4651548 5814435 7752580 11628870 23257740