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20251392 = 28373767
BaseRepresentation
bin100110101000…
…0001100000000
31102002212200120
41031100030000
520141021032
62002020240
7334063650
oct115201400
942085616
1020251392
1110482197
126947680
134270995
142992360
151ba062c
hex1350300

20251392 has 72 divisors (see below), whose sum is σ = 61614336. Its totient is φ = 5784576.

The previous prime is 20251391. The next prime is 20251393. The reversal of 20251392 is 29315202.

It is an interprime number because it is at equal distance from previous prime (20251391) and next prime (20251393).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (20251391) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3493 + ... + 7259.

Almost surely, 220251392 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 20251392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30807168).

20251392 is an abundant number, since it is smaller than the sum of its proper divisors (41362944).

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

20251392 is an equidigital number, since it uses as much as digits as its factorization.

20251392 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3793 (or 3779 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 24.

The square root of 20251392 is about 4500.1546640088. The cubic root of 20251392 is about 272.5743342925.

Adding to 20251392 its reverse (29315202), we get a palindrome (49566594).

The spelling of 20251392 in words is "twenty million, two hundred fifty-one thousand, three hundred ninety-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 112 128 168 192 224 256 336 384 448 672 768 896 1344 1792 2688 3767 5376 7534 11301 15068 22602 26369 30136 45204 52738 60272 79107 90408 105476 120544 158214 180816 210952 241088 316428 361632 421904 482176 632856 723264 843808 964352 1265712 1446528 1687616 2531424 2893056 3375232 5062848 6750464 10125696 20251392