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970103520 = 253351953223
BaseRepresentation
bin111001110100101…
…001101011100000
32111121102100212000
4321310221223200
53441321303040
6240132404000
733016513101
oct7164515340
92447370760
10970103520
11458664151
12230a76600
13125ca0369
1492ba83a8
155a278130
hex39d29ae0

970103520 has 384 divisors, whose sum is σ = 3657830400. Its totient is φ = 239376384.

The previous prime is 970103509. The next prime is 970103527. The reversal of 970103520 is 25301079.

970103520 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×9701035202 = 1882201679032780800, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (970103527) 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, 4350129 + ... + 4350351.

It is an arithmetic number, because the mean of its divisors is an integer number (9525600).

Almost surely, 2970103520 is an apocalyptic number.

970103520 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 970103520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1828915200).

970103520 is an abundant number, since it is smaller than the sum of its proper divisors (2687726880).

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

970103520 is a wasteful number, since it uses less digits than its factorization.

970103520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 319 (or 305 counting only the distinct ones).

The product of its (nonzero) digits is 1890, while the sum is 27.

The square root of 970103520 is about 31146.4848738987. The cubic root of 970103520 is about 989.9335125229.

Adding to 970103520 its reverse (25301079), we get a palindrome (995404599).

The spelling of 970103520 in words is "nine hundred seventy million, one hundred three thousand, five hundred twenty".