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20293952 = 26797467
BaseRepresentation
bin100110101101…
…0100101000000
31102012001001212
41031122211000
520143401302
62002545252
7334332020
oct115324500
942161055
1020293952
1110501168
126968228
134287173
1429a3a80
151bad052
hex135a940

20293952 has 56 divisors (see below), whose sum is σ = 46597824. Its totient is φ = 8589312.

The previous prime is 20293943. The next prime is 20293961. The reversal of 20293952 is 25939202.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (20293943) and next prime (20293961).

It is a tau number, because it is divible by the number of its divisors (56).

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 43223 + ... + 43689.

It is an arithmetic number, because the mean of its divisors is an integer number (832104).

Almost surely, 220293952 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 20293952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23298912).

20293952 is an abundant number, since it is smaller than the sum of its proper divisors (26303872).

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

20293952 is an equidigital number, since it uses as much as digits as its factorization.

20293952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 583 (or 573 counting only the distinct ones).

The product of its (nonzero) digits is 9720, while the sum is 32.

The square root of 20293952 is about 4504.8809085258. The cubic root of 20293952 is about 272.7651466324.

The spelling of 20293952 in words is "twenty million, two hundred ninety-three thousand, nine hundred fifty-two".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 97 112 194 224 388 448 467 679 776 934 1358 1552 1868 2716 3104 3269 3736 5432 6208 6538 7472 10864 13076 14944 21728 26152 29888 43456 45299 52304 90598 104608 181196 209216 317093 362392 634186 724784 1268372 1449568 2536744 2899136 5073488 10146976 20293952