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423515040 = 253513671013
BaseRepresentation
bin11001001111100…
…101001110100000
31002111220210102020
4121033211032200
51331404440130
6110005221440
713331550504
oct3117451640
91074823366
10423515040
111a8077133
12b9a01880
1369985920
1440366304
15272aae10
hex193e53a0

423515040 has 192 divisors, whose sum is σ = 1459575936. Its totient is φ = 102592512.

The previous prime is 423515023. The next prime is 423515047. The reversal of 423515040 is 40515324.

423515040 is nontrivially palindromic in base 14.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 423515040.

It is not an unprimeable number, because it can be changed into a prime (423515047) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 417574 + ... + 418586.

It is an arithmetic number, because the mean of its divisors is an integer number (7601958).

Almost surely, 2423515040 is an apocalyptic number.

423515040 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 423515040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (729787968).

423515040 is an abundant number, since it is smaller than the sum of its proper divisors (1036060896).

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

423515040 is a wasteful number, since it uses less digits than its factorization.

423515040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1111 (or 1103 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 24.

The square root of 423515040 is about 20579.4810430195. The cubic root of 423515040 is about 750.9706188790.

The spelling of 423515040 in words is "four hundred twenty-three million, five hundred fifteen thousand, forty".