Search a number
-
+
421960704 = 21031112487
BaseRepresentation
bin11001001001101…
…001110000000000
31002101222211021020
4121021221300000
51331010220304
6105512025440
713312415064
oct3111516000
91071884236
10421960704
111a7205360
12b9392280
13695602b9
144007daa4
15270a05d9
hex19269c00

421960704 has 88 divisors (see below), whose sum is σ = 1227020928. Its totient is φ = 127856640.

The previous prime is 421960703. The next prime is 421960717. The reversal of 421960704 is 407069124.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (88).

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (421960703) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 27549 + ... + 40035.

Almost surely, 2421960704 is an apocalyptic number.

421960704 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 421960704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (613510464).

421960704 is an abundant number, since it is smaller than the sum of its proper divisors (805060224).

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

421960704 is a wasteful number, since it uses less digits than its factorization.

421960704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12521 (or 12503 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 33.

The square root of 421960704 is about 20541.6821122322. The cubic root of 421960704 is about 750.0507841168.

The spelling of 421960704 in words is "four hundred twenty-one million, nine hundred sixty thousand, seven hundred four".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 64 66 88 96 128 132 176 192 256 264 352 384 512 528 704 768 1024 1056 1408 1536 2112 2816 3072 4224 5632 8448 11264 12487 16896 24974 33792 37461 49948 74922 99896 137357 149844 199792 274714 299688 399584 412071 549428 599376 799168 824142 1098856 1198752 1598336 1648284 2197712 2397504 3196672 3296568 4395424 4795008 6393344 6593136 8790848 9590016 12786688 13186272 17581696 19180032 26372544 35163392 38360064 52745088 70326784 105490176 140653568 210980352 421960704