Search a number
-
+
970111296 = 263371123317
BaseRepresentation
bin111001110100101…
…011100101000000
32111121102202112000
4321310223211000
53441322030141
6240132504000
733016544550
oct7164534500
92447382460
10970111296
11458669a80
12230a7b000
13125ca3a6b
1492bab160
155a27a5b6
hex39d2b940

970111296 has 448 divisors, whose sum is σ = 3721973760. Its totient is φ = 240261120.

The previous prime is 970111279. The next prime is 970111297. The reversal of 970111296 is 692111079.

It is a tau number, because it is divible by the number of its divisors (448).

It is a super-2 number, since 2×9701112962 = 1882231853253599232, which contains 22 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 970111296.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (970111297) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3060130 + ... + 3060446.

Almost surely, 2970111296 is an apocalyptic number.

970111296 is a gapful number since it is divisible by the number (96) 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 970111296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1860986880).

970111296 is an abundant number, since it is smaller than the sum of its proper divisors (2751862464).

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

970111296 is a wasteful number, since it uses less digits than its factorization.

970111296 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 379 (or 363 counting only the distinct ones).

The product of its (nonzero) digits is 6804, while the sum is 36.

The square root of 970111296 is about 31146.6097031443. The cubic root of 970111296 is about 989.9361574992.

The spelling of 970111296 in words is "nine hundred seventy million, one hundred eleven thousand, two hundred ninety-six".