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20949516 = 223573079
BaseRepresentation
bin100111111101…
…0101000001100
31110102100100000
41033322220030
520330341031
62025004300
7343032210
oct117725014
943370300
1020949516
1110909755
127023690
134456683
142ad4940
151c8c3e6
hex13faa0c

20949516 has 72 divisors (see below), whose sum is σ = 62782720. Its totient is φ = 5983632.

The previous prime is 20949499. The next prime is 20949529. The reversal of 20949516 is 61594902.

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

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 5265 + ... + 8343.

Almost surely, 220949516 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20949516, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31391360).

20949516 is an abundant number, since it is smaller than the sum of its proper divisors (41833204).

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

20949516 is a wasteful number, since it uses less digits than its factorization.

20949516 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3105 (or 3091 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 36.

The square root of 20949516 is about 4577.0641245235. The cubic root of 20949516 is about 275.6711584502.

The spelling of 20949516 in words is "twenty million, nine hundred forty-nine thousand, five hundred sixteen".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 42 54 63 81 84 108 126 162 189 243 252 324 378 486 567 756 972 1134 1701 2268 3079 3402 6158 6804 9237 12316 18474 21553 27711 36948 43106 55422 64659 83133 86212 110844 129318 166266 193977 249399 258636 332532 387954 498798 581931 748197 775908 997596 1163862 1496394 1745793 2327724 2992788 3491586 5237379 6983172 10474758 20949516