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20214976 = 262331443
BaseRepresentation
bin100110100011…
…1010011000000
31102001000201211
41031013103000
520133334401
62001135504
7333552535
oct115072300
942030654
1020214976
11104578a1
12692a594
13425a232
142982d8c
151b94951
hex13474c0

20214976 has 56 divisors (see below), whose sum is σ = 43305984. Its totient is φ = 9335040.

The previous prime is 20214959. The next prime is 20214977. The reversal of 20214976 is 67941202.

It is a Harshad number since it is a multiple of its sum of digits (31).

It is a cake number, because a cake can be divided into 20214976 parts by 495 planar cuts.

It is not an unprimeable number, because it can be changed into a prime (20214977) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 45411 + ... + 45853.

Almost surely, 220214976 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 20214976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21652992).

20214976 is an abundant number, since it is smaller than the sum of its proper divisors (23091008).

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

20214976 is a wasteful number, since it uses less digits than its factorization.

20214976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 509 (or 499 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 31.

The square root of 20214976 is about 4496.1067602983. The cubic root of 20214976 is about 272.4108554465.

The spelling of 20214976 in words is "twenty million, two hundred fourteen thousand, nine hundred seventy-six".

Divisors: 1 2 4 8 16 23 31 32 46 62 64 92 124 184 248 368 443 496 713 736 886 992 1426 1472 1772 1984 2852 3544 5704 7088 10189 11408 13733 14176 20378 22816 27466 28352 40756 45632 54932 81512 109864 163024 219728 315859 326048 439456 631718 652096 878912 1263436 2526872 5053744 10107488 20214976