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1098040608 = 2532721723199
BaseRepresentation
bin100000101110010…
…1100010100100000
32211112011020112200
41001130230110200
54222044244413
6300542453200
736132122400
oct10134542440
92745136480
101098040608
115138a7185
12267894200
13146645b92
14a5b8c800
15665ea573
hex4172c520

1098040608 has 432 divisors, whose sum is σ = 4033411200. Its totient is φ = 281014272.

The previous prime is 1098040607. The next prime is 1098040613. The reversal of 1098040608 is 8060408901.

It is a happy number.

1098040608 is a `hidden beast` number, since 1 + 0 + 9 + 8 + 0 + 40 + 608 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1098040607) 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 71 ways as a sum of consecutive naturals, for example, 5517693 + ... + 5517891.

It is an arithmetic number, because the mean of its divisors is an integer number (9336600).

Almost surely, 21098040608 is an apocalyptic number.

1098040608 is a gapful number since it is divisible by the number (18) 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 1098040608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2016705600).

1098040608 is an abundant number, since it is smaller than the sum of its proper divisors (2935370592).

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

1098040608 is a wasteful number, since it uses less digits than its factorization.

1098040608 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 269 (or 251 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 36.

The square root of 1098040608 is about 33136.6957918257. The cubic root of 1098040608 is about 1031.6668295341. Note that the first 3 decimals are identical.

The spelling of 1098040608 in words is "one billion, ninety-eight million, forty thousand, six hundred eight".