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20350848 = 273767113
BaseRepresentation
bin100110110100…
…0011110000000
31102021221010010
41031220132000
520202211343
62004104520
7334656630
oct115503600
942257103
1020350848
111053a991
126995140
1342a702b
1429ba6c0
151bbed33
hex1368780

20350848 has 128 divisors (see below), whose sum is σ = 63256320. Its totient is φ = 5677056.

The previous prime is 20350817. The next prime is 20350871. The reversal of 20350848 is 84805302.

It is a tau number, because it is divible by the number of its divisors (128).

It is a hoax number, since the sum of its digits (30) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 180040 + ... + 180152.

It is an arithmetic number, because the mean of its divisors is an integer number (494190).

Almost surely, 220350848 is an apocalyptic number.

20350848 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 20350848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31628160).

20350848 is an abundant number, since it is smaller than the sum of its proper divisors (42905472).

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

20350848 is a wasteful number, since it uses less digits than its factorization.

20350848 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 204 (or 192 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 30.

The square root of 20350848 is about 4511.1914169097. The cubic root of 20350848 is about 273.0198163506.

The spelling of 20350848 in words is "twenty million, three hundred fifty thousand, eight hundred forty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 67 84 96 112 113 128 134 168 192 201 224 226 268 336 339 384 402 448 452 469 536 672 678 791 804 896 904 938 1072 1344 1356 1407 1582 1608 1808 1876 2144 2373 2688 2712 2814 3164 3216 3616 3752 4288 4746 5424 5628 6328 6432 7232 7504 7571 8576 9492 10848 11256 12656 12864 14464 15008 15142 18984 21696 22512 22713 25312 25728 30016 30284 37968 43392 45024 45426 50624 52997 60032 60568 75936 90048 90852 101248 105994 121136 151872 158991 180096 181704 211988 242272 303744 317982 363408 423976 484544 635964 726816 847952 969088 1271928 1453632 1695904 2543856 2907264 3391808 5087712 6783616 10175424 20350848