[go: up one dir, main page]

Search a number
-
+
20214348 = 223711131167
BaseRepresentation
bin100110100011…
…1001001001100
31102000222212120
41031013021030
520133324343
62001132540
7333550650
oct115071114
942028776
1020214348
1110457380
12692a150
134259b6b
142982a60
151b94683
hex134724c

20214348 has 96 divisors (see below), whose sum is σ = 59609088. Its totient is φ = 5179200.

The previous prime is 20214329. The next prime is 20214373. The reversal of 20214348 is 84341202.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 120961 + ... + 121127.

It is an arithmetic number, because the mean of its divisors is an integer number (620928).

Almost surely, 220214348 is an apocalyptic number.

20214348 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20214348, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29804544).

20214348 is an abundant number, since it is smaller than the sum of its proper divisors (39394740).

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

20214348 is a wasteful number, since it uses less digits than its factorization.

20214348 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 323 (or 321 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

The square root of 20214348 is about 4496.0369215566. The cubic root of 20214348 is about 272.4080345051.

The spelling of 20214348 in words is "twenty million, two hundred fourteen thousand, three hundred forty-eight".

Divisors: 1 2 3 4 6 7 11 12 14 21 22 28 33 42 44 66 77 84 131 132 154 167 231 262 308 334 393 462 501 524 668 786 917 924 1002 1169 1441 1572 1834 1837 2004 2338 2751 2882 3507 3668 3674 4323 4676 5502 5511 5764 7014 7348 8646 10087 11004 11022 12859 14028 17292 20174 21877 22044 25718 30261 38577 40348 43754 51436 60522 65631 77154 87508 121044 131262 153139 154308 240647 262524 306278 459417 481294 612556 721941 918834 962588 1443882 1684529 1837668 2887764 3369058 5053587 6738116 10107174 20214348