Search a number
-
+
20274576 = 243783727
BaseRepresentation
bin100110101010…
…1110110010000
31102011001111020
41031111312100
520142241301
62002315440
7334221360
oct115256620
942131436
1020274576
1110498653
126958b80
13427b3ba
14299a9a0
151ba7436
hex1355d90

20274576 has 80 divisors (see below), whose sum is σ = 60662784. Its totient is φ = 5715072.

The previous prime is 20274571. The next prime is 20274581. The reversal of 20274576 is 67547202.

It is an interprime number because it is at equal distance from previous prime (20274571) and next prime (20274581).

It is a super-2 number, since 2×202745762 = 822116863959552, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (20274571) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 27525 + ... + 28251.

Almost surely, 220274576 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 20274576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30331392).

20274576 is an abundant number, since it is smaller than the sum of its proper divisors (40388208).

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

20274576 is a wasteful number, since it uses less digits than its factorization.

20274576 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 828 (or 822 counting only the distinct ones).

The product of its (nonzero) digits is 23520, while the sum is 33.

The square root of 20274576 is about 4502.7298386645. The cubic root of 20274576 is about 272.6783099173.

The spelling of 20274576 in words is "twenty million, two hundred seventy-four thousand, five hundred seventy-six".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 56 83 84 112 166 168 249 332 336 498 581 664 727 996 1162 1328 1454 1743 1992 2181 2324 2908 3486 3984 4362 4648 5089 5816 6972 8724 9296 10178 11632 13944 15267 17448 20356 27888 30534 34896 40712 60341 61068 81424 120682 122136 181023 241364 244272 362046 422387 482728 724092 844774 965456 1267161 1448184 1689548 2534322 2896368 3379096 5068644 6758192 10137288 20274576