Search a number
-
+
20713914 = 23313191553
BaseRepresentation
bin100111100000…
…1000110111010
31102222101011000
41033001012322
520300321124
62015545430
7341031264
oct117010672
942871130
1020713914
1110768741
126b2b276
1343a3370
142a72b34
151c426c9
hex13c11ba

20713914 has 64 divisors (see below), whose sum is σ = 52214400. Its totient is φ = 6034176.

The previous prime is 20713907. The next prime is 20713963. The reversal of 20713914 is 41931702.

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 polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 12562 + ... + 14114.

It is an arithmetic number, because the mean of its divisors is an integer number (815850).

Almost surely, 220713914 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20713914, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26107200).

20713914 is an abundant number, since it is smaller than the sum of its proper divisors (31500486).

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

20713914 is a wasteful number, since it uses less digits than its factorization.

20713914 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1596 (or 1590 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 27.

The square root of 20713914 is about 4551.2541128792. The cubic root of 20713914 is about 274.6338443697.

The spelling of 20713914 in words is "twenty million, seven hundred thirteen thousand, nine hundred fourteen".

Divisors: 1 2 3 6 9 13 18 19 26 27 38 39 54 57 78 114 117 171 234 247 342 351 494 513 702 741 1026 1482 1553 2223 3106 4446 4659 6669 9318 13338 13977 20189 27954 29507 40378 41931 59014 60567 83862 88521 121134 177042 181701 265563 363402 383591 531126 545103 767182 796689 1090206 1150773 1593378 2301546 3452319 6904638 10356957 20713914