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23700040 = 23571317383
BaseRepresentation
bin101101001101…
…0001001001000
31122121002100021
41122122021020
522031400130
62203550224
7405306220
oct132321110
948532307
1023700040
1112418211
127b2b374
134baa5c0
14320d080
15213237a
hex169a248

23700040 has 128 divisors (see below), whose sum is σ = 69672960. Its totient is φ = 7041024.

The previous prime is 23700031. The next prime is 23700059. The reversal of 23700040 is 4000732.

23700040 = T274 + T275 + ... + T545.

It is a junction number, because it is equal to n+sod(n) for n = 23699987 and 23700023.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 61689 + ... + 62071.

It is an arithmetic number, because the mean of its divisors is an integer number (544320).

Almost surely, 223700040 is an apocalyptic number.

23700040 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 23700040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34836480).

23700040 is an abundant number, since it is smaller than the sum of its proper divisors (45972920).

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

23700040 is a wasteful number, since it uses less digits than its factorization.

23700040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 431 (or 427 counting only the distinct ones).

The product of its (nonzero) digits is 168, while the sum is 16.

The square root of 23700040 is about 4868.2686860937. The cubic root of 23700040 is about 287.2431581389.

Adding to 23700040 its reverse (4000732), we get a palindrome (27700772).

The spelling of 23700040 in words is "twenty-three million, seven hundred thousand, forty".

Divisors: 1 2 4 5 7 8 10 13 14 17 20 26 28 34 35 40 52 56 65 68 70 85 91 104 119 130 136 140 170 182 221 238 260 280 340 364 383 442 455 476 520 595 680 728 766 884 910 952 1105 1190 1532 1547 1768 1820 1915 2210 2380 2681 3064 3094 3640 3830 4420 4760 4979 5362 6188 6511 7660 7735 8840 9958 10724 12376 13022 13405 15320 15470 19916 21448 24895 26044 26810 30940 32555 34853 39832 45577 49790 52088 53620 61880 65110 69706 84643 91154 99580 107240 130220 139412 169286 174265 182308 199160 227885 260440 278824 338572 348530 364616 423215 455770 592501 677144 697060 846430 911540 1185002 1394120 1692860 1823080 2370004 2962505 3385720 4740008 5925010 11850020 23700040