Search a number
-
+
109461000 = 233531131107
BaseRepresentation
bin1101000011000…
…11111000001000
321121222012021010
412201203320020
5211010223000
614510043520
72466255165
oct641437010
9247865233
10109461000
1156873740
12307a95a0
13198a6c2c
141077506c
159922d50
hex6863e08

109461000 has 256 divisors, whose sum is σ = 388177920. Its totient is φ = 25440000.

The previous prime is 109460999. The next prime is 109461007. The reversal of 109461000 is 164901.

It is not an unprimeable number, because it can be changed into a prime (109461007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1022947 + ... + 1023053.

It is an arithmetic number, because the mean of its divisors is an integer number (1516320).

Almost surely, 2109461000 is an apocalyptic number.

109461000 is a gapful number since it is divisible by the number (10) 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 109461000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (194088960).

109461000 is an abundant number, since it is smaller than the sum of its proper divisors (278716920).

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

109461000 is a wasteful number, since it uses less digits than its factorization.

109461000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 173 (or 159 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 21.

The square root of 109461000 is about 10462.3611101892. The cubic root of 109461000 is about 478.3581053942.

The spelling of 109461000 in words is "one hundred nine million, four hundred sixty-one thousand".