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20363136 = 273192791
BaseRepresentation
bin100110110101…
…1011110000000
31102022112222020
41031223132000
520203110021
62004241440
7335040513
oct115533600
942275866
1020363136
1110549142
1269a0280
1342ac7c1
1429c0d7a
151bc37c6
hex136b780

20363136 has 64 divisors (see below), whose sum is σ = 56956800. Its totient is φ = 6428160.

The previous prime is 20363107. The next prime is 20363141. The reversal of 20363136 is 63136302.

It is a tau number, because it is divible by the number of its divisors (64).

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

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, 5901 + ... + 8691.

It is an arithmetic number, because the mean of its divisors is an integer number (889950).

Almost surely, 220363136 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 20363136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28478400).

20363136 is an abundant number, since it is smaller than the sum of its proper divisors (36593664).

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

20363136 is a wasteful number, since it uses less digits than its factorization.

20363136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2827 (or 2815 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 24.

The square root of 20363136 is about 4512.5531575816. The cubic root of 20363136 is about 273.0747557893.

Adding to 20363136 its reverse (63136302), we get a palindrome (83499438).

The spelling of 20363136 in words is "twenty million, three hundred sixty-three thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 8 12 16 19 24 32 38 48 57 64 76 96 114 128 152 192 228 304 384 456 608 912 1216 1824 2432 2791 3648 5582 7296 8373 11164 16746 22328 33492 44656 53029 66984 89312 106058 133968 159087 178624 212116 267936 318174 357248 424232 535872 636348 848464 1071744 1272696 1696928 2545392 3393856 5090784 6787712 10181568 20363136