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20849312 = 251161971
BaseRepresentation
bin100111110001…
…0001010100000
31110020020212202
41033202022200
520314134222
62022512332
7342134111
oct117421240
943206782
1020849312
1110850440
126b956a8
13441cb93
142aaa208
151c6c892
hex13e22a0

20849312 has 48 divisors (see below), whose sum is σ = 45559584. Its totient is φ = 9312000.

The previous prime is 20849273. The next prime is 20849317. The reversal of 20849312 is 21394802.

It is not an unprimeable number, because it can be changed into a prime (20849317) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 20987 + ... + 21957.

It is an arithmetic number, because the mean of its divisors is an integer number (949158).

Almost surely, 220849312 is an apocalyptic number.

20849312 is a gapful number since it is divisible by the number (22) 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 20849312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22779792).

20849312 is an abundant number, since it is smaller than the sum of its proper divisors (24710272).

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

20849312 is a wasteful number, since it uses less digits than its factorization.

20849312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1053 (or 1045 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 29.

The square root of 20849312 is about 4566.1046856155. The cubic root of 20849312 is about 275.2309332905.

Subtracting 20849312 from its reverse (21394802), we obtain a triangular number (545490 = T1044).

The spelling of 20849312 in words is "twenty million, eight hundred forty-nine thousand, three hundred twelve".

Divisors: 1 2 4 8 11 16 22 32 44 61 88 122 176 244 352 488 671 971 976 1342 1942 1952 2684 3884 5368 7768 10681 10736 15536 21362 21472 31072 42724 59231 85448 118462 170896 236924 341792 473848 651541 947696 1303082 1895392 2606164 5212328 10424656 20849312