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700970112 = 2734174197
BaseRepresentation
bin101001110001111…
…111010010000000
31210211222222020000
4221301333102000
52413422020422
6153320120000
723241101433
oct5161772200
91724888200
10700970112
1132a752247
12176906000
13b22bbb1b
146914b81a
1541814cac
hex29c7f480

700970112 has 320 divisors, whose sum is σ = 2285985240. Its totient is φ = 212336640.

The previous prime is 700970111. The next prime is 700970119. The reversal of 700970112 is 211079007.

It can be written as a sum of positive squares in 4 ways, for example, as 507871296 + 193098816 = 22536^2 + 13896^2 .

It is a super-3 number, since 3×7009701123 (a number of 28 digits) contains 333 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (700970111) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 7226448 + ... + 7226544.

Almost surely, 2700970112 is an apocalyptic number.

700970112 is a gapful number since it is divisible by the number (72) 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 700970112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1142992620).

700970112 is an abundant number, since it is smaller than the sum of its proper divisors (1585015128).

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

700970112 is a wasteful number, since it uses less digits than its factorization.

700970112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 181 (or 160 counting only the distinct ones).

The product of its (nonzero) digits is 882, while the sum is 27.

The square root of 700970112 is about 26475.8401566409. The cubic root of 700970112 is about 888.3139868464.

The spelling of 700970112 in words is "seven hundred million, nine hundred seventy thousand, one hundred twelve".