Search a number
-
+
970461090 = 232510782901
BaseRepresentation
bin111001110110000…
…000111110100010
32111122002112100100
4321312000332202
53441414223330
6240144203230
733022532424
oct7166007642
92448075310
10970461090
11458888865
12231009516
13126097041
1492c5c814
155a2e9060
hex39d80fa2

970461090 has 24 divisors (see below), whose sum is σ = 2523199068. Its totient is φ = 258789600.

The previous prime is 970461083. The next prime is 970461097. The reversal of 970461090 is 90164079.

970461090 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (970461083) and next prime (970461097).

It can be written as a sum of positive squares in 2 ways, for example, as 927019809 + 43441281 = 30447^2 + 6591^2 .

It is not an unprimeable number, because it can be changed into a prime (970461097) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5391361 + ... + 5391540.

Almost surely, 2970461090 is an apocalyptic number.

970461090 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

970461090 is an abundant number, since it is smaller than the sum of its proper divisors (1552737978).

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

970461090 is a wasteful number, since it uses less digits than its factorization.

970461090 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10782914 (or 10782911 counting only the distinct ones).

The product of its (nonzero) digits is 13608, while the sum is 36.

The square root of 970461090 is about 31152.2244791604. The cubic root of 970461090 is about 990.0551239585.

The spelling of 970461090 in words is "nine hundred seventy million, four hundred sixty-one thousand, ninety".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 10782901 21565802 32348703 53914505 64697406 97046109 107829010 161743515 194092218 323487030 485230545 970461090