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700439040 = 29325743101
BaseRepresentation
bin101001101111111…
…101101000000000
31210210222222201200
4221233331220000
52413303022130
6153300501200
723233430220
oct5157755000
91723888650
10700439040
1132a41a244
121766aa800
13b2164192
1469050080
154175c760
hex29bfda00

700439040 has 480 divisors, whose sum is σ = 2864923776. Its totient is φ = 154828800.

The previous prime is 700439029. The next prime is 700439041. The reversal of 700439040 is 40934007.

700439040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (480).

It is a super-2 number, since 2×7004390402 = 981229697512243200, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 700438995 and 700439013.

It is not an unprimeable number, because it can be changed into a prime (700439041) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6934990 + ... + 6935090.

Almost surely, 2700439040 is an apocalyptic number.

700439040 is a gapful number since it is divisible by the number (70) 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 700439040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1432461888).

700439040 is an abundant number, since it is smaller than the sum of its proper divisors (2164484736).

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

700439040 is a wasteful number, since it uses less digits than its factorization.

700439040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 180 (or 161 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 27.

The square root of 700439040 is about 26465.8088861837. The cubic root of 700439040 is about 888.0895940768.

The spelling of 700439040 in words is "seven hundred million, four hundred thirty-nine thousand, forty".