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23132340 = 223257111669
BaseRepresentation
bin101100000111…
…1100010110100
31121112020121100
41120033202310
521410213330
62143450100
7400423140
oct130174264
947466540
1023132340
111206a740
1278b6930
134a3c09a
143102220
15206e060
hex160f8b4

23132340 has 144 divisors (see below), whose sum is σ = 87534720. Its totient is φ = 4803840.

The previous prime is 23132311. The next prime is 23132371. The reversal of 23132340 is 4323132.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 13026 + ... + 14694.

It is an arithmetic number, because the mean of its divisors is an integer number (607880).

Almost surely, 223132340 is an apocalyptic number.

23132340 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 23132340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43767360).

23132340 is an abundant number, since it is smaller than the sum of its proper divisors (64402380).

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

23132340 is a wasteful number, since it uses less digits than its factorization.

23132340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1702 (or 1697 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

The square root of 23132340 is about 4809.6091317279. The cubic root of 23132340 is about 284.9311006116.

Adding to 23132340 its reverse (4323132), we get a palindrome (27455472).

The spelling of 23132340 in words is "twenty-three million, one hundred thirty-two thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 7 9 10 11 12 14 15 18 20 21 22 28 30 33 35 36 42 44 45 55 60 63 66 70 77 84 90 99 105 110 126 132 140 154 165 180 198 210 220 231 252 308 315 330 385 396 420 462 495 630 660 693 770 924 990 1155 1260 1386 1540 1669 1980 2310 2772 3338 3465 4620 5007 6676 6930 8345 10014 11683 13860 15021 16690 18359 20028 23366 25035 30042 33380 35049 36718 46732 50070 55077 58415 60084 70098 73436 75105 91795 100140 105147 110154 116830 128513 140196 150210 165231 175245 183590 210294 220308 233660 257026 275385 300420 330462 350490 367180 385539 420588 514052 525735 550770 642565 660924 700980 771078 826155 1051470 1101540 1156617 1285130 1542156 1652310 1927695 2102940 2313234 2570260 3304620 3855390 4626468 5783085 7710780 11566170 23132340