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970041420 = 223551759199
BaseRepresentation
bin111001110100011…
…010100001001100
32111121022012200000
4321310122201030
53441312311140
6240131204300
733016134045
oct7164324114
92447265600
10970041420
11458621527
12230a46690
13125c7b00a
1492b8d8cc
155a264a30
hex39d1a84c

970041420 has 288 divisors, whose sum is σ = 3302208000. Its totient is φ = 238132224.

The previous prime is 970041407. The next prime is 970041433. The reversal of 970041420 is 24140079.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (970041407) and next prime (970041433).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4874481 + ... + 4874679.

It is an arithmetic number, because the mean of its divisors is an integer number (11466000).

Almost surely, 2970041420 is an apocalyptic number.

970041420 is a gapful number since it is divisible by the number (90) 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 970041420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1651104000).

970041420 is an abundant number, since it is smaller than the sum of its proper divisors (2332166580).

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

970041420 is a wasteful number, since it uses less digits than its factorization.

970041420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 299 (or 285 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 970041420 is about 31145.4879557216. The cubic root of 970041420 is about 989.9123889412.

Adding to 970041420 its reverse (24140079), we get a palindrome (994181499).

The spelling of 970041420 in words is "nine hundred seventy million, forty-one thousand, four hundred twenty".