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20949192 = 2334112939
BaseRepresentation
bin100111111101…
…0100011001000
31110102022220000
41033322203020
520330333232
62025003000
7343031235
oct117724310
943368800
1020949192
1110909490
127023460
134456494
142ad478c
151c8c27c
hex13fa8c8

20949192 has 80 divisors (see below), whose sum is σ = 64033200. Its totient is φ = 6346080.

The previous prime is 20949167. The next prime is 20949199. The reversal of 20949192 is 29194902.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (20949199) by changing a digit.

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 19 ways as a sum of consecutive naturals, for example, 5659 + ... + 8597.

It is an arithmetic number, because the mean of its divisors is an integer number (800415).

Almost surely, 220949192 is an apocalyptic number.

20949192 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 20949192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32016600).

20949192 is an abundant number, since it is smaller than the sum of its proper divisors (43084008).

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

20949192 is a wasteful number, since it uses less digits than its factorization.

20949192 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2968 (or 2955 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 36.

The square root of 20949192 is about 4577.0287305194. The cubic root of 20949192 is about 275.6697372891.

The spelling of 20949192 in words is "twenty million, nine hundred forty-nine thousand, one hundred ninety-two".

Divisors: 1 2 3 4 6 8 9 11 12 18 22 24 27 33 36 44 54 66 72 81 88 99 108 132 162 198 216 264 297 324 396 594 648 792 891 1188 1782 2376 2939 3564 5878 7128 8817 11756 17634 23512 26451 32329 35268 52902 64658 70536 79353 96987 105804 129316 158706 193974 211608 238059 258632 290961 317412 387948 476118 581922 634824 775896 872883 952236 1163844 1745766 1904472 2327688 2618649 3491532 5237298 6983064 10474596 20949192