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20114496 = 263247743
BaseRepresentation
bin100110010111…
…0110001000000
31101211220220100
41030232301000
520122130441
61555042400
7332653563
oct114566100
941756810
1020114496
1110399356
1268a0400
13422358c
1429584da
151b74cb6
hex132ec40

20114496 has 84 divisors (see below), whose sum is σ = 58960512. Its totient is φ = 6553344.

The previous prime is 20114491. The next prime is 20114527. The reversal of 20114496 is 69441102.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20114491) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 26701 + ... + 27443.

Almost surely, 220114496 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 20114496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29480256).

20114496 is an abundant number, since it is smaller than the sum of its proper divisors (38846016).

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

20114496 is a wasteful number, since it uses less digits than its factorization.

20114496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 808 (or 795 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 20114496 is about 4484.9187283606. The cubic root of 20114496 is about 271.9587596068.

Adding to 20114496 its reverse (69441102), we get a palindrome (89555598).

The spelling of 20114496 in words is "twenty million, one hundred fourteen thousand, four hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 47 48 64 72 94 96 141 144 188 192 282 288 376 423 564 576 743 752 846 1128 1486 1504 1692 2229 2256 2972 3008 3384 4458 4512 5944 6687 6768 8916 9024 11888 13374 13536 17832 23776 26748 27072 34921 35664 47552 53496 69842 71328 104763 106992 139684 142656 209526 213984 279368 314289 419052 427968 558736 628578 838104 1117472 1257156 1676208 2234944 2514312 3352416 5028624 6704832 10057248 20114496