Search a number
-
+
70646940 = 2232571319227
BaseRepresentation
bin1000011010111…
…11110010011100
311220221020101100
410031133302130
5121041200230
611002113100
71515326520
oct415376234
9156836340
1070646940
1136973101
121b7ab790
1311837130
14954dd80
156307660
hex435fc9c

70646940 has 288 divisors, whose sum is σ = 278853120. Its totient is φ = 14059008.

The previous prime is 70646903. The next prime is 70646941. The reversal of 70646940 is 4964607.

70646940 is a `hidden beast` number, since 7 + 0 + 646 + 9 + 4 + 0 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 70646895 and 70646904.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (70646941) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 311107 + ... + 311333.

It is an arithmetic number, because the mean of its divisors is an integer number (968240).

Almost surely, 270646940 is an apocalyptic number.

70646940 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 70646940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139426560).

70646940 is an abundant number, since it is smaller than the sum of its proper divisors (208206180).

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

70646940 is a wasteful number, since it uses less digits than its factorization.

70646940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 281 (or 276 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The square root of 70646940 is about 8405.1734068965. The cubic root of 70646940 is about 413.3942692563.

The spelling of 70646940 in words is "seventy million, six hundred forty-six thousand, nine hundred forty".