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20949852 = 22372114179
BaseRepresentation
bin100111111101…
…0101101011100
31110102100210110
41033322231130
520330343402
62025010020
7343033200
oct117725534
943370713
1020949852
1110909a30
127023910
134456881
142ad4b00
151c8c56c
hex13fab5c

20949852 has 144 divisors (see below), whose sum is σ = 64350720. Its totient is φ = 5241600.

The previous prime is 20949833. The next prime is 20949857. The reversal of 20949852 is 25894902.

It is a self number, because there is not a number n which added to its sum of digits gives 20949852.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20949857) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 265149 + ... + 265227.

It is an arithmetic number, because the mean of its divisors is an integer number (446880).

Almost surely, 220949852 is an apocalyptic number.

20949852 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 20949852, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32175360).

20949852 is an abundant number, since it is smaller than the sum of its proper divisors (43400868).

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

20949852 is a wasteful number, since it uses less digits than its factorization.

20949852 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 152 (or 143 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 39.

The square root of 20949852 is about 4577.1008291275. The cubic root of 20949852 is about 275.6726322315.

The spelling of 20949852 in words is "twenty million, nine hundred forty-nine thousand, eight hundred fifty-two".

Divisors: 1 2 3 4 6 7 11 12 14 21 22 28 33 41 42 44 49 66 77 79 82 84 98 123 132 147 154 158 164 196 231 237 246 287 294 308 316 451 462 474 492 539 553 574 588 861 869 902 924 948 1078 1106 1148 1353 1617 1659 1722 1738 1804 2009 2156 2212 2607 2706 3157 3234 3239 3318 3444 3476 3871 4018 5214 5412 6027 6083 6314 6468 6478 6636 7742 8036 9471 9717 10428 11613 12054 12166 12628 12956 15484 18249 18942 19434 22099 22673 23226 24108 24332 35629 36498 37884 38868 42581 44198 45346 46452 66297 68019 71258 72996 85162 88396 90692 106887 127743 132594 136038 142516 158711 170324 213774 249403 255486 265188 272076 317422 427548 476133 498806 510972 634844 748209 952266 997612 1496418 1745821 1904532 2992836 3491642 5237463 6983284 10474926 20949852