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1098995040 = 253451113593
BaseRepresentation
bin100000110000001…
…0101010101100000
32211120221201210000
41001200111111200
54222320320130
6301015140000
736143206113
oct10140252540
92746851700
101098995040
11514399270
12268074600
131468bb430
14a5d5a57a
1566738260
hex41815560

1098995040 has 480 divisors, whose sum is σ = 4564286496. Its totient is φ = 245514240.

The previous prime is 1098995033. The next prime is 1098995041. The reversal of 1098995040 is 405998901.

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1098995041) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1852984 + ... + 1853576.

Almost surely, 21098995040 is an apocalyptic number.

1098995040 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 1098995040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2282143248).

1098995040 is an abundant number, since it is smaller than the sum of its proper divisors (3465291456).

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

1098995040 is a wasteful number, since it uses less digits than its factorization.

1098995040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 644 (or 627 counting only the distinct ones).

The product of its (nonzero) digits is 116640, while the sum is 45.

The square root of 1098995040 is about 33151.0940995919. The cubic root of 1098995040 is about 1031.9656559690.

The spelling of 1098995040 in words is "one billion, ninety-eight million, nine hundred ninety-five thousand, forty".