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1010499840 = 2833574177
BaseRepresentation
bin111100001110110…
…000000100000000
32121102102201012000
4330032300010000
54032141443330
6244134304000
734020051450
oct7416600400
92542381160
101010499840
11479445539
122424b8000
131314753cc
14982c1d60
155daa7560
hex3c3b0100

1010499840 has 288 divisors, whose sum is σ = 4099119360. Its totient is φ = 230916096.

The previous prime is 1010499803. The next prime is 1010499863. The reversal of 1010499840 is 489940101.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×10104998402 = 2042219853280051200, which contains 22 as substring.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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 = 1010499795 and 1010499804.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 239832 + ... + 244008.

Almost surely, 21010499840 is an apocalyptic number.

1010499840 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 1010499840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2049559680).

1010499840 is an abundant number, since it is smaller than the sum of its proper divisors (3088619520).

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

1010499840 is an equidigital number, since it uses as much as digits as its factorization.

1010499840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4214 (or 4194 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 36.

The square root of 1010499840 is about 31788.3601338603. The cubic root of 1010499840 is about 1003.4877679987.

It can be divided in two parts, 101049 and 9840, that added together give a square (110889 = 3332).

The spelling of 1010499840 in words is "one billion, ten million, four hundred ninety-nine thousand, eight hundred forty".