Search a number
-
+
20387148 = 2231737273
BaseRepresentation
bin100110111000…
…1010101001100
31102100202220120
41031301111030
520204342043
62004544540
7335200515
oct115612514
942322816
1020387148
1110565191
1269b2150
1342ba702
1429c9a0c
151bca983
hex137154c

20387148 has 72 divisors (see below), whose sum is σ = 52475472. Its totient is φ = 6137856.

The previous prime is 20387123. The next prime is 20387167. The reversal of 20387148 is 84178302.

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 279240 + ... + 279312.

It is an arithmetic number, because the mean of its divisors is an integer number (728826).

Almost surely, 220387148 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20387148, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26237736).

20387148 is an abundant number, since it is smaller than the sum of its proper divisors (32088324).

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

20387148 is a wasteful number, since it uses less digits than its factorization.

20387148 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 171 (or 132 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 33.

The square root of 20387148 is about 4515.2129517887. The cubic root of 20387148 is about 273.1820492726.

The spelling of 20387148 in words is "twenty million, three hundred eighty-seven thousand, one hundred forty-eight".

Divisors: 1 2 3 4 6 12 17 34 37 51 68 73 74 102 111 146 148 204 219 222 292 438 444 629 876 1241 1258 1369 1887 2482 2516 2701 2738 3723 3774 4107 4964 5402 5476 7446 7548 8103 8214 10804 14892 16206 16428 23273 32412 45917 46546 69819 91834 93092 99937 137751 139638 183668 199874 275502 279276 299811 399748 551004 599622 1199244 1698929 3397858 5096787 6795716 10193574 20387148