Search a number
-
+
20113002 = 2337134093
BaseRepresentation
bin100110010111…
…0011001101010
31101211211212000
41030232121222
520122104002
61555031430
7332646330
oct114563152
941754760
1020113002
1110398218
12689b576
1342229b0
142957b50
151b7461c
hex132e66a

20113002 has 64 divisors (see below), whose sum is σ = 55023360. Its totient is φ = 5303232.

The previous prime is 20112997. The next prime is 20113013. The reversal of 20113002 is 20031102.

20113002 = 8342 + 8352 + ... + 8612.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (9).

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 31 ways as a sum of consecutive naturals, for example, 2868 + ... + 6960.

It is an arithmetic number, because the mean of its divisors is an integer number (859740).

Almost surely, 220113002 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20113002, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27511680).

20113002 is an abundant number, since it is smaller than the sum of its proper divisors (34910358).

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

20113002 is a wasteful number, since it uses less digits than its factorization.

20113002 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4124 (or 4118 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 9.

The square root of 20113002 is about 4484.7521670656. The cubic root of 20113002 is about 271.9520262133.

Adding to 20113002 its reverse (20031102), we get a palindrome (40144104).

It can be divided in two parts, 201 and 13002, that added together give a triangular number (13203 = T162).

The spelling of 20113002 in words is "twenty million, one hundred thirteen thousand, two".

Divisors: 1 2 3 6 7 9 13 14 18 21 26 27 39 42 54 63 78 91 117 126 182 189 234 273 351 378 546 702 819 1638 2457 4093 4914 8186 12279 24558 28651 36837 53209 57302 73674 85953 106418 110511 159627 171906 221022 257859 319254 372463 478881 515718 744926 773577 957762 1117389 1436643 1547154 2234778 2873286 3352167 6704334 10056501 20113002