Search a number
-
+
423751680 = 21232511219
BaseRepresentation
bin11001010000011…
…111000000000000
31002112100211000200
4121100133000000
51331440023210
6110014245200
713333554432
oct3120370000
91075324020
10423751680
111a8218a00
12b9ab6800
1369a39551
14403c8652
15273060c0
hex1941f000

423751680 has 468 divisors, whose sum is σ = 1699468680. Its totient is φ = 97320960.

The previous prime is 423751667. The next prime is 423751681. The reversal of 423751680 is 86157324.

423751680 is a `hidden beast` number, since 423 + 75 + 168 + 0 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (423751681) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 22302711 + ... + 22302729.

Almost surely, 2423751680 is an apocalyptic number.

423751680 is a gapful number since it is divisible by the number (40) 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 423751680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (849734340).

423751680 is an abundant number, since it is smaller than the sum of its proper divisors (1275717000).

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

423751680 is a wasteful number, since it uses less digits than its factorization.

423751680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 76 (or 40 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The square root of 423751680 is about 20585.2296562365. The cubic root of 423751680 is about 751.1104616883.

The spelling of 423751680 in words is "four hundred twenty-three million, seven hundred fifty-one thousand, six hundred eighty".