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20698272 = 2532710267
BaseRepresentation
bin100111011110…
…1010010100000
31102221120200200
41032331102200
520244321042
62015345200
7340634550
oct116752240
942846620
1020698272
1110757a11
126b22200
1343991ca
142a6b160
151c3cc4c
hex13bd4a0

20698272 has 72 divisors (see below), whose sum is σ = 67275936. Its totient is φ = 5913216.

The previous prime is 20698261. The next prime is 20698273. The reversal of 20698272 is 27289602.

20698272 = T313 + T314 + ... + T536.

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-3 number, since 3×206982723 (a number of 23 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (20698273) 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, 3118 + ... + 7149.

It is an arithmetic number, because the mean of its divisors is an integer number (934388).

Almost surely, 220698272 is an apocalyptic number.

It is an amenable number.

20698272 is an abundant number, since it is smaller than the sum of its proper divisors (46577664).

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

20698272 is a wasteful number, since it uses less digits than its factorization.

20698272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10290 (or 10279 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 20698272 is about 4549.5353608913. The cubic root of 20698272 is about 274.5646975414.

The spelling of 20698272 in words is "twenty million, six hundred ninety-eight thousand, two hundred seventy-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 56 63 72 84 96 112 126 144 168 224 252 288 336 504 672 1008 2016 10267 20534 30801 41068 61602 71869 82136 92403 123204 143738 164272 184806 215607 246408 287476 328544 369612 431214 492816 574952 646821 739224 862428 985632 1149904 1293642 1478448 1724856 2299808 2587284 2956896 3449712 5174568 6899424 10349136 20698272