Search a number
-
+
672363216 = 243273121517
BaseRepresentation
bin101000000100110…
…111001011010000
31201212011120221100
4220010313023100
52334111110331
6150415024400
722442664420
oct5004671320
91655146840
10672363216
11315593488
1216920b100
13a93b3c75
1465422480
153e063ae6
hex281372d0

672363216 has 120 divisors (see below), whose sum is σ = 2219969024. Its totient is φ = 185898240.

The previous prime is 672363193. The next prime is 672363229. The reversal of 672363216 is 612363276.

672363216 is a `hidden beast` number, since 6 + 7 + 2 + 3 + 632 + 16 = 666.

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

It is a nude number because it is divisible by every one of its digits.

It is an alternating number because its digits alternate between even and odd.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 20490 + ... + 42006.

Almost surely, 2672363216 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 672363216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1109984512).

672363216 is an abundant number, since it is smaller than the sum of its proper divisors (1547605808).

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

672363216 is a wasteful number, since it uses less digits than its factorization.

672363216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21569 (or 21560 counting only the distinct ones).

The product of its digits is 54432, while the sum is 36.

The square root of 672363216 is about 25929.9675279396. The cubic root of 672363216 is about 876.0616082273.

The spelling of 672363216 in words is "six hundred seventy-two million, three hundred sixty-three thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 31 36 42 48 56 62 63 72 84 93 112 124 126 144 168 186 217 248 252 279 336 372 434 496 504 558 651 744 868 1008 1116 1302 1488 1736 1953 2232 2604 3472 3906 4464 5208 7812 10416 15624 21517 31248 43034 64551 86068 129102 150619 172136 193653 258204 301238 344272 387306 451857 516408 602476 667027 774612 903714 1032816 1204952 1334054 1355571 1549224 1807428 2001081 2409904 2668108 2711142 3098448 3614856 4002162 4669189 5336216 5422284 6003243 7229712 8004324 9338378 10672432 10844568 12006486 14007567 16008648 18676756 21689136 24012972 28015134 32017296 37353512 42022701 48025944 56030268 74707024 84045402 96051888 112060536 168090804 224121072 336181608 672363216