Search a number
-
+
721472004 = 22321123113701
BaseRepresentation
bin101011000000001…
…100101000000100
31212021120120112100
4223000030220010
52434144101004
6155331352100
723610260631
oct5300145004
91767516470
10721472004
11340285660
12181752630
13b6619816
146bb67188
1543514739
hex2b00ca04

721472004 has 144 divisors (see below), whose sum is σ = 2097373824. Its totient is φ = 206976000.

The previous prime is 721471997. The next prime is 721472023. The reversal of 721472004 is 400274127.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1028854 + ... + 1029554.

It is an arithmetic number, because the mean of its divisors is an integer number (14565096).

Almost surely, 2721472004 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 721472004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1048686912).

721472004 is an abundant number, since it is smaller than the sum of its proper divisors (1375901820).

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

721472004 is a wasteful number, since it uses less digits than its factorization.

721472004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 858 (or 853 counting only the distinct ones).

The product of its (nonzero) digits is 3136, while the sum is 27.

The square root of 721472004 is about 26860.2308999755. The cubic root of 721472004 is about 896.8913340621.

The spelling of 721472004 in words is "seven hundred twenty-one million, four hundred seventy-two thousand, four".

Divisors: 1 2 3 4 6 9 11 12 18 22 23 33 36 44 46 66 69 92 99 113 132 138 198 207 226 253 276 339 396 414 452 506 678 701 759 828 1012 1017 1243 1356 1402 1518 2034 2103 2277 2486 2599 2804 3036 3729 4068 4206 4554 4972 5198 6309 7458 7711 7797 8412 9108 10396 11187 12618 14916 15422 15594 16123 22374 23133 23391 25236 28589 30844 31188 32246 44748 46266 46782 48369 57178 64492 69399 79213 85767 92532 93564 96738 114356 138798 145107 158426 171534 177353 193476 237639 257301 277596 290214 316852 343068 354706 475278 514602 532059 580428 709412 712917 871343 950556 1029204 1064118 1425834 1596177 1742686 1821899 2128236 2614029 2851668 3192354 3485372 3643798 5228058 5465697 6384708 7287596 7842087 10456116 10931394 15684174 16397091 20040889 21862788 31368348 32794182 40081778 60122667 65588364 80163556 120245334 180368001 240490668 360736002 721472004