Search a number
-
+
701106840 = 233457191627
BaseRepresentation
bin101001110010100…
…000101010011000
31210212020220210000
4221302200222120
52413440404330
6153323053000
723242211160
oct5162405230
91725226700
10701106840
1132a835a45
12176971160
13b2339125
14691855a0
1541840560
hex29ca0a98

701106840 has 320 divisors, whose sum is σ = 2836627200. Its totient is φ = 151725312.

The previous prime is 701106829. The next prime is 701106841. The reversal of 701106840 is 48601107.

It is a happy number.

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 (701106841) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 430107 + ... + 431733.

It is an arithmetic number, because the mean of its divisors is an integer number (8864460).

Almost surely, 2701106840 is an apocalyptic number.

701106840 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 701106840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1418313600).

701106840 is an abundant number, since it is smaller than the sum of its proper divisors (2135520360).

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

701106840 is a wasteful number, since it uses less digits than its factorization.

701106840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1676 (or 1663 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 27.

The square root of 701106840 is about 26478.4221584293. The cubic root of 701106840 is about 888.3717399025.

Adding to 701106840 its reverse (48601107), we get a palindrome (749707947).

The spelling of 701106840 in words is "seven hundred one million, one hundred six thousand, eight hundred forty".