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421713072 = 243211224203
BaseRepresentation
bin11001001000101…
…101010010110000
31002101112020120200
4121020231102300
51330424304242
6105502435200
713310334114
oct3110552260
91071466520
10421713072
111a7056300
12b9292b00
13694a4681
1440017744
152705204c
hex1922d4b0

421713072 has 90 divisors (see below), whose sum is σ = 1297310196. Its totient is φ = 127786560.

The previous prime is 421713059. The next prime is 421713133. The reversal of 421713072 is 270317124.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 5323 + ... + 29525.

Almost surely, 2421713072 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 421713072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (648655098).

421713072 is an abundant number, since it is smaller than the sum of its proper divisors (875597124).

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

421713072 is a wasteful number, since it uses less digits than its factorization.

421713072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24239 (or 24219 counting only the distinct ones).

The product of its (nonzero) digits is 2352, while the sum is 27.

The square root of 421713072 is about 20535.6536784199. The cubic root of 421713072 is about 749.9040303870.

The spelling of 421713072 in words is "four hundred twenty-one million, seven hundred thirteen thousand, seventy-two".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 33 36 44 48 66 72 88 99 121 132 144 176 198 242 264 363 396 484 528 726 792 968 1089 1452 1584 1936 2178 2904 4356 5808 8712 17424 24203 48406 72609 96812 145218 193624 217827 266233 290436 387248 435654 532466 580872 798699 871308 1064932 1161744 1597398 1742616 2129864 2396097 2928563 3194796 3485232 4259728 4792194 5857126 6389592 8785689 9584388 11714252 12779184 17571378 19168776 23428504 26357067 35142756 38337552 46857008 52714134 70285512 105428268 140571024 210856536 421713072