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70125120 = 26325131873
BaseRepresentation
bin1000010111000…
…00011001000000
311212221201120200
410023200121000
5120423000440
610543005200
71511024262
oct413403100
9155851520
1070125120
113664704a
121b599800
13116b3770
149455b32
156252c30
hex42e0640

70125120 has 168 divisors, whose sum is σ = 259893816. Its totient is φ = 17252352.

The previous prime is 70125089. The next prime is 70125127. The reversal of 70125120 is 2152107.

It can be written as a sum of positive squares in 4 ways, for example, as 2359296 + 67765824 = 1536^2 + 8232^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 70125093 and 70125102.

It is not an unprimeable number, because it can be changed into a prime (70125127) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 36504 + ... + 38376.

It is an arithmetic number, because the mean of its divisors is an integer number (1546987).

Almost surely, 270125120 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 70125120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129946908).

70125120 is an abundant number, since it is smaller than the sum of its proper divisors (189768696).

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

70125120 is a wasteful number, since it uses less digits than its factorization.

70125120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1909 (or 1896 counting only the distinct ones).

The product of its (nonzero) digits is 140, while the sum is 18.

The square root of 70125120 is about 8374.0742771963. The cubic root of 70125120 is about 412.3739339281.

Adding to 70125120 its reverse (2152107), we get a palindrome (72277227).

The spelling of 70125120 in words is "seventy million, one hundred twenty-five thousand, one hundred twenty".