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20148138 = 23223411187
BaseRepresentation
bin100110011011…
…0111110101010
31101220122001100
41030312332222
520124220023
61555502230
7333153633
oct114667652
941818040
1020148138
111041165a
1268b7976
13423599a
14296688a
151b7ec43
hex1336faa

20148138 has 48 divisors (see below), whose sum is σ = 46702656. Its totient is φ = 6262080.

The previous prime is 20148137. The next prime is 20148211. The reversal of 20148138 is 83184102.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20148131) 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, 16381 + ... + 17567.

It is an arithmetic number, because the mean of its divisors is an integer number (972972).

Almost surely, 220148138 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20148138, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23351328).

20148138 is an abundant number, since it is smaller than the sum of its proper divisors (26554518).

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

20148138 is a wasteful number, since it uses less digits than its factorization.

20148138 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1259 (or 1256 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

The square root of 20148138 is about 4488.6677310757. The cubic root of 20148138 is about 272.1102944426.

The spelling of 20148138 in words is "twenty million, one hundred forty-eight thousand, one hundred thirty-eight".

Divisors: 1 2 3 6 9 18 23 41 46 69 82 123 138 207 246 369 414 738 943 1187 1886 2374 2829 3561 5658 7122 8487 10683 16974 21366 27301 48667 54602 81903 97334 146001 163806 245709 292002 438003 491418 876006 1119341 2238682 3358023 6716046 10074069 20148138