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23452380 = 22325722659
BaseRepresentation
bin101100101110…
…1101011011100
31122010111121200
41121131223130
522000434010
62154355500
7403225200
oct131355334
948114550
1023452380
1112269136
127a2bb90
134b21963
143186b00
1520d3cc0
hex165dadc

23452380 has 108 divisors (see below), whose sum is σ = 82784520. Its totient is φ = 5358528.

The previous prime is 23452361. The next prime is 23452391. The reversal of 23452380 is 8325432.

23452380 is a `hidden beast` number, since 234 + 52 + 380 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 7491 + ... + 10149.

Almost surely, 223452380 is an apocalyptic number.

23452380 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 23452380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41392260).

23452380 is an abundant number, since it is smaller than the sum of its proper divisors (59332140).

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

23452380 is a wasteful number, since it uses less digits than its factorization.

23452380 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2688 (or 2676 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The square root of 23452380 is about 4842.7657387076. The cubic root of 23452380 is about 286.2391108410.

It can be divided in two parts, 23452 and 380, that added together give a palindrome (23832).

The spelling of 23452380 in words is "twenty-three million, four hundred fifty-two thousand, three hundred eighty".

Divisors: 1 2 3 4 5 6 7 9 10 12 14 15 18 20 21 28 30 35 36 42 45 49 60 63 70 84 90 98 105 126 140 147 180 196 210 245 252 294 315 420 441 490 588 630 735 882 980 1260 1470 1764 2205 2659 2940 4410 5318 7977 8820 10636 13295 15954 18613 23931 26590 31908 37226 39885 47862 53180 55839 74452 79770 93065 95724 111678 119655 130291 159540 167517 186130 223356 239310 260582 279195 335034 372260 390873 478620 521164 558390 651455 670068 781746 837585 1116780 1172619 1302910 1563492 1675170 1954365 2345238 2605820 3350340 3908730 4690476 5863095 7817460 11726190 23452380