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20031456 = 2533153127
BaseRepresentation
bin100110001101…
…0011111100000
31101200200222210
41030122133200
520112001311
61553202120
7332156514
oct114323740
941620883
1020031456
1110341a25
126860340
1341c4843
142936144
151b5a3a6
hex131a7e0

20031456 has 96 divisors (see below), whose sum is σ = 55738368. Its totient is φ = 6289920.

The previous prime is 20031449. The next prime is 20031461. The reversal of 20031456 is 65413002.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

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, 157665 + ... + 157791.

It is an arithmetic number, because the mean of its divisors is an integer number (580608).

Almost surely, 220031456 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 20031456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27869184).

20031456 is an abundant number, since it is smaller than the sum of its proper divisors (35706912).

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

20031456 is a wasteful number, since it uses less digits than its factorization.

20031456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 224 (or 216 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 21.

The square root of 20031456 is about 4475.6514609607. The cubic root of 20031456 is about 271.5839949849.

Adding to 20031456 its reverse (65413002), we get a palindrome (85444458).

The spelling of 20031456 in words is "twenty million, thirty-one thousand, four hundred fifty-six".

Divisors: 1 2 3 4 6 8 12 16 24 31 32 48 53 62 93 96 106 124 127 159 186 212 248 254 318 372 381 424 496 508 636 744 762 848 992 1016 1272 1488 1524 1643 1696 2032 2544 2976 3048 3286 3937 4064 4929 5088 6096 6572 6731 7874 9858 11811 12192 13144 13462 15748 19716 20193 23622 26288 26924 31496 39432 40386 47244 52576 53848 62992 78864 80772 94488 107696 125984 157728 161544 188976 208661 215392 323088 377952 417322 625983 646176 834644 1251966 1669288 2503932 3338576 5007864 6677152 10015728 20031456