[go: up one dir, main page]

Search a number
-
+
20345148 = 2233257733
BaseRepresentation
bin100110110011…
…1000100111100
31102021122022000
41031213010330
520202021043
62004022300
7334634205
oct115470474
942248260
1020345148
111053667a
126991990
1342a4565
1429b85ac
151bbd2d3
hex136713c

20345148 has 48 divisors (see below), whose sum is σ = 53024160. Its totient is φ = 6746112.

The previous prime is 20345093. The next prime is 20345161. The reversal of 20345148 is 84154302.

20345148 is a `hidden beast` number, since 203 + 451 + 4 + 8 = 666.

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 pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 27390 + ... + 28122.

It is an arithmetic number, because the mean of its divisors is an integer number (1104670).

Almost surely, 220345148 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 20345148, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26512080).

20345148 is an abundant number, since it is smaller than the sum of its proper divisors (32679012).

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

20345148 is a wasteful number, since it uses less digits than its factorization.

20345148 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1003 (or 995 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 20345148 is about 4510.5596105140. The cubic root of 20345148 is about 272.9943242390.

The spelling of 20345148 in words is "twenty million, three hundred forty-five thousand, one hundred forty-eight".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 108 257 514 733 771 1028 1466 1542 2199 2313 2932 3084 4398 4626 6597 6939 8796 9252 13194 13878 19791 26388 27756 39582 79164 188381 376762 565143 753524 1130286 1695429 2260572 3390858 5086287 6781716 10172574 20345148