Search a number
-
+
1018189440 = 273556547
BaseRepresentation
bin111100101100000…
…101011010000000
32121221220101100000
4330230011122000
54041124030230
6245011200000
734142316222
oct7454053200
92557811300
101018189440
11482817884
12244ba6000
13132c38478
1499324412
155e5c5b60
hex3cb05680

1018189440 has 192 divisors, whose sum is σ = 3646712160. Its totient is φ = 271475712.

The previous prime is 1018189409. The next prime is 1018189453. The reversal of 1018189440 is 449818101.

It is a tau number, because it is divible by the number of its divisors (192).

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 = 1018189395 and 1018189404.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 152247 + ... + 158793.

Almost surely, 21018189440 is an apocalyptic number.

1018189440 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 1018189440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1823356080).

1018189440 is an abundant number, since it is smaller than the sum of its proper divisors (2628522720).

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

1018189440 is an frugal number, since it uses more digits than its factorization.

1018189440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6581 (or 6557 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 36.

The square root of 1018189440 is about 31909.0808391593. The cubic root of 1018189440 is about 1006.0267519601.

The spelling of 1018189440 in words is "one billion, eighteen million, one hundred eighty-nine thousand, four hundred forty".