Search a number
-
+
70398720 = 28345797
BaseRepresentation
bin1000011001000…
…11001100000000
311220110121220000
410030203030000
5121010224340
610552520000
71513244040
oct414431400
9156417800
1070398720
1136813667
121b6b0000
131177b162
1494c7720
1562a8d30
hex4323300

70398720 has 360 divisors, whose sum is σ = 290853024. Its totient is φ = 15925248.

The previous prime is 70398703. The next prime is 70398761. The reversal of 70398720 is 2789307.

It is a tau number, because it is divible by the number of its divisors (360).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 725712 + ... + 725808.

Almost surely, 270398720 is an apocalyptic number.

70398720 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 70398720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145426512).

70398720 is an abundant number, since it is smaller than the sum of its proper divisors (220454304).

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

70398720 is an equidigital number, since it uses as much as digits as its factorization.

70398720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 137 (or 114 counting only the distinct ones).

The product of its (nonzero) digits is 21168, while the sum is 36.

The square root of 70398720 is about 8390.3945080074. The cubic root of 70398720 is about 412.9095436701.

The spelling of 70398720 in words is "seventy million, three hundred ninety-eight thousand, seven hundred twenty".