Search a number
-
+
701395968 = 21037132193
BaseRepresentation
bin101001110011100…
…111010000000000
31210212210121101110
4221303213100000
52414024132333
6153333203320
723244524130
oct5163472000
91725717343
10701395968
1132aa13199
12176a90540
13b240a900
146921cac0
154189b063
hex29ce7400

701395968 has 264 divisors, whose sum is σ = 2325523008. Its totient is φ = 184025088.

The previous prime is 701395949. The next prime is 701395969. The reversal of 701395968 is 869593107.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (701395969) 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, 3634080 + ... + 3634272.

Almost surely, 2701395968 is an apocalyptic number.

701395968 is a gapful number since it is divisible by the number (78) 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 701395968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1162761504).

701395968 is an abundant number, since it is smaller than the sum of its proper divisors (1624127040).

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

701395968 is a wasteful number, since it uses less digits than its factorization.

701395968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 249 (or 218 counting only the distinct ones).

The product of its (nonzero) digits is 408240, while the sum is 48.

The square root of 701395968 is about 26483.8812865486. The cubic root of 701395968 is about 888.4938410480.

The spelling of 701395968 in words is "seven hundred one million, three hundred ninety-five thousand, nine hundred sixty-eight".