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23427690 = 235111343127
BaseRepresentation
bin101100101011…
…1101001101010
31122002020202020
41121113221222
521444141230
62154045310
7403063206
oct131275152
948066666
1023427690
1112251630
127a19836
134b13650
14317bb06
1520cb810
hex1657a6a

23427690 has 128 divisors (see below), whose sum is σ = 68124672. Its totient is φ = 5080320.

The previous prime is 23427641. The next prime is 23427707. The reversal of 23427690 is 9672432.

It is a super-2 number, since 2×234276902 = 1097713317472200, which contains 22 as substring.

It is a Smith number, since the sum of its digits (33) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 184407 + ... + 184533.

It is an arithmetic number, because the mean of its divisors is an integer number (532224).

Almost surely, 223427690 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 23427690, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34062336).

23427690 is an abundant number, since it is smaller than the sum of its proper divisors (44696982).

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

23427690 is a wasteful number, since it uses less digits than its factorization.

23427690 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 204.

The product of its (nonzero) digits is 18144, while the sum is 33.

The square root of 23427690 is about 4840.2159042753. The cubic root of 23427690 is about 286.1386274336.

The spelling of 23427690 in words is "twenty-three million, four hundred twenty-seven thousand, six hundred ninety".

Divisors: 1 2 3 5 6 10 11 13 15 22 26 30 33 39 43 55 65 66 78 86 110 127 129 130 143 165 195 215 254 258 286 330 381 390 429 430 473 559 635 645 715 762 858 946 1118 1270 1290 1397 1419 1430 1651 1677 1905 2145 2365 2794 2795 2838 3302 3354 3810 4191 4290 4730 4953 5461 5590 6149 6985 7095 8255 8382 8385 9906 10922 12298 13970 14190 16383 16510 16770 18161 18447 20955 24765 27305 30745 32766 36322 36894 41910 49530 54483 54610 60071 61490 70993 81915 90805 92235 108966 120142 141986 163830 180213 181610 184470 212979 272415 300355 354965 360426 425958 544830 600710 709930 780923 901065 1064895 1561846 1802130 2129790 2342769 3904615 4685538 7809230 11713845 23427690