Search a number
-
+
23475640 = 23517192379
BaseRepresentation
bin101100110001…
…1010110111000
31122011200112011
41121203112320
522002210030
62155055304
7403353046
oct131432670
948150464
1023475640
1112284661
127a41534
134b2c416
143191396
1520dab2a
hex16635b8

23475640 has 128 divisors (see below), whose sum is σ = 62208000. Its totient is φ = 7907328.

The previous prime is 23475631. The next prime is 23475707. The reversal of 23475640 is 4657432.

It is a super-2 number, since 2×234756402 = 1102211346819200, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 297121 + ... + 297199.

It is an arithmetic number, because the mean of its divisors is an integer number (486000).

Almost surely, 223475640 is an apocalyptic number.

23475640 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 23475640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31104000).

23475640 is an abundant number, since it is smaller than the sum of its proper divisors (38732360).

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

23475640 is a wasteful number, since it uses less digits than its factorization.

23475640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 149 (or 145 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 31.

The square root of 23475640 is about 4845.1666638001. The cubic root of 23475640 is about 286.3337099368. Note that the first 3 decimals are identical.

The spelling of 23475640 in words is "twenty-three million, four hundred seventy-five thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 17 19 20 23 34 38 40 46 68 76 79 85 92 95 115 136 152 158 170 184 190 230 316 323 340 380 391 395 437 460 632 646 680 760 782 790 874 920 1292 1343 1501 1564 1580 1615 1748 1817 1955 2185 2584 2686 3002 3128 3160 3230 3496 3634 3910 4370 5372 6004 6460 6715 7268 7429 7505 7820 8740 9085 10744 12008 12920 13430 14536 14858 15010 15640 17480 18170 25517 26860 29716 30020 30889 34523 36340 37145 51034 53720 59432 60040 61778 69046 72680 74290 102068 123556 127585 138092 148580 154445 172615 204136 247112 255170 276184 297160 308890 345230 510340 586891 617780 690460 1020680 1173782 1235560 1380920 2347564 2934455 4695128 5868910 11737820 23475640