Search a number
-
+
23039640 = 2334513547
BaseRepresentation
bin101011111100…
…0111010011000
31121100112110000
41113320322120
521344232030
62141453000
7366555651
oct127707230
947315400
1023039640
1112007028
127871160
134a08b30
1430ba528
152051860
hex15f8e98

23039640 has 160 divisors (see below), whose sum is σ = 83548080. Its totient is φ = 5660928.

The previous prime is 23039587. The next prime is 23039651. The reversal of 23039640 is 4693032.

23039640 is a `hidden beast` number, since 230 + 396 + 40 = 666.

It is a super-2 number, since 2×230396402 = 1061650022659200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 41847 + ... + 42393.

Almost surely, 223039640 is an apocalyptic number.

23039640 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 23039640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41774040).

23039640 is an abundant number, since it is smaller than the sum of its proper divisors (60508440).

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

23039640 is a wasteful number, since it uses less digits than its factorization.

23039640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 583 (or 570 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 27.

The square root of 23039640 is about 4799.9624998535. The cubic root of 23039640 is about 284.5499823126.

The spelling of 23039640 in words is "twenty-three million, thirty-nine thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 13 15 18 20 24 26 27 30 36 39 40 45 52 54 60 65 72 78 81 90 104 108 117 120 130 135 156 162 180 195 216 234 260 270 312 324 351 360 390 405 468 520 540 547 585 648 702 780 810 936 1053 1080 1094 1170 1404 1560 1620 1641 1755 2106 2188 2340 2735 2808 3240 3282 3510 4212 4376 4680 4923 5265 5470 6564 7020 7111 8205 8424 9846 10530 10940 13128 14040 14222 14769 16410 19692 21060 21333 21880 24615 28444 29538 32820 35555 39384 42120 42666 44307 49230 56888 59076 63999 65640 71110 73845 85332 88614 98460 106665 118152 127998 142220 147690 170664 177228 191997 196920 213330 221535 255996 284440 295380 319995 354456 383994 426660 443070 511992 575991 590760 639990 767988 853320 886140 959985 1151982 1279980 1535976 1772280 1919970 2303964 2559960 2879955 3839940 4607928 5759910 7679880 11519820 23039640