Search a number
-
+
23800140 = 223257131453
BaseRepresentation
bin101101011001…
…0100101001100
31122210011122200
41122302211030
522043101030
62210041500
7406204110
oct132624514
948704580
1023800140
1112486441
127b79290
134c14030
143237740
152151d60
hex16b294c

23800140 has 144 divisors (see below), whose sum is σ = 88915008. Its totient is φ = 5018112.

The previous prime is 23800111. The next prime is 23800151. The reversal of 23800140 is 4100832.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 15654 + ... + 17106.

Almost surely, 223800140 is an apocalyptic number.

23800140 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 23800140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44457504).

23800140 is an abundant number, since it is smaller than the sum of its proper divisors (65114868).

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

23800140 is a wasteful number, since it uses less digits than its factorization.

23800140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1488 (or 1483 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 23800140 is about 4878.5387156402. The cubic root of 23800140 is about 287.6469922562.

Adding to 23800140 its reverse (4100832), we get a palindrome (27900972).

The spelling of 23800140 in words is "twenty-three million, eight hundred thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 7 9 10 12 13 14 15 18 20 21 26 28 30 35 36 39 42 45 52 60 63 65 70 78 84 90 91 105 117 126 130 140 156 180 182 195 210 234 252 260 273 315 364 390 420 455 468 546 585 630 780 819 910 1092 1170 1260 1365 1453 1638 1820 2340 2730 2906 3276 4095 4359 5460 5812 7265 8190 8718 10171 13077 14530 16380 17436 18889 20342 21795 26154 29060 30513 37778 40684 43590 50855 52308 56667 61026 65385 75556 87180 91539 94445 101710 113334 122052 130770 132223 152565 170001 183078 188890 203420 226668 261540 264446 283335 305130 340002 366156 377780 396669 457695 528892 566670 610260 661115 680004 793338 850005 915390 1133340 1190007 1322230 1586676 1700010 1830780 1983345 2380014 2644460 3400020 3966690 4760028 5950035 7933380 11900070 23800140