Search a number
-
+
970196040 = 2332511337727
BaseRepresentation
bin111001110101000…
…000010001001000
32111121121001202200
4321311000101020
53441332233130
6240134400200
733020346612
oct7165002110
92447531680
10970196040
11458717710
12230b00060
131260034c8
1492bcddb2
155a295760
hex39d40448

970196040 has 192 divisors, whose sum is σ = 3454738560. Its totient is φ = 234178560.

The previous prime is 970196039. The next prime is 970196081. The reversal of 970196040 is 40691079.

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

It is a junction number, because it is equal to n+sod(n) for n = 970195986 and 970196004.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1334157 + ... + 1334883.

It is an arithmetic number, because the mean of its divisors is an integer number (17993430).

Almost surely, 2970196040 is an apocalyptic number.

970196040 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 970196040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1727369280).

970196040 is an abundant number, since it is smaller than the sum of its proper divisors (2484542520).

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

970196040 is a wasteful number, since it uses less digits than its factorization.

970196040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1092 (or 1085 counting only the distinct ones).

The product of its (nonzero) digits is 13608, while the sum is 36.

The square root of 970196040 is about 31147.9700783213. The cubic root of 970196040 is about 989.9649819263.

The spelling of 970196040 in words is "nine hundred seventy million, one hundred ninety-six thousand, forty".