Search a number
-
+
23387040 = 25325109149
BaseRepresentation
bin101100100110…
…1101110100000
31122000011222200
41121031232200
521441341130
62153133200
7402533535
oct131155640
948004880
1023387040
1112224036
1279ba200
134acacb1
14316ad8c
1520be760
hex164dba0

23387040 has 144 divisors (see below), whose sum is σ = 81081000. Its totient is φ = 6137856.

The previous prime is 23387033. The next prime is 23387041. The reversal of 23387040 is 4078332.

It can be written as a sum of positive squares in 4 ways, for example, as 16353936 + 7033104 = 4044^2 + 2652^2 .

It is a tau number, because it is divible by the number of its divisors (144).

It is a zygodrome in base 3.

It is a junction number, because it is equal to n+sod(n) for n = 23386995 and 23387013.

It is not an unprimeable number, because it can be changed into a prime (23387041) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 156886 + ... + 157034.

Almost surely, 223387040 is an apocalyptic number.

23387040 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 23387040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40540500).

23387040 is an abundant number, since it is smaller than the sum of its proper divisors (57693960).

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

23387040 is a wasteful number, since it uses less digits than its factorization.

23387040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 279 (or 268 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 27.

The square root of 23387040 is about 4836.0148883146. The cubic root of 23387040 is about 285.9730360743.

The spelling of 23387040 in words is "twenty-three million, three hundred eighty-seven thousand, forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 72 80 90 96 109 120 144 149 160 180 218 240 288 298 327 360 436 447 480 545 596 654 720 745 872 894 981 1090 1192 1308 1341 1440 1490 1635 1744 1788 1962 2180 2235 2384 2616 2682 2980 3270 3488 3576 3924 4360 4470 4768 4905 5232 5364 5960 6540 6705 7152 7848 8720 8940 9810 10464 10728 11920 13080 13410 14304 15696 16241 17440 17880 19620 21456 23840 26160 26820 31392 32482 35760 39240 42912 48723 52320 53640 64964 71520 78480 81205 97446 107280 129928 146169 156960 162410 194892 214560 243615 259856 292338 324820 389784 487230 519712 584676 649640 730845 779568 974460 1169352 1299280 1461690 1559136 1948920 2338704 2598560 2923380 3897840 4677408 5846760 7795680 11693520 23387040