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1009899540 = 2232513431581
BaseRepresentation
bin111100001100011…
…101100000010100
32121101022012201200
4330030131200110
54032013241130
6244113352500
734012001346
oct7414354024
92541265650
101009899540
11479075521
12242268730
131312c50c0
14981a7296
155d9d9760
hex3c31d814

1009899540 has 72 divisors (see below), whose sum is σ = 3299012808. Its totient is φ = 248590080.

The previous prime is 1009899523. The next prime is 1009899557. The reversal of 1009899540 is 459989001.

1009899540 is a `hidden beast` number, since 10 + 0 + 9 + 8 + 99 + 540 = 666.

1009899540 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (1009899523) and next prime (1009899557).

It can be written as a sum of positive squares in 4 ways, for example, as 63968004 + 945931536 = 7998^2 + 30756^2 .

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 213451 + ... + 218130.

Almost surely, 21009899540 is an apocalyptic number.

1009899540 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1009899540 is an abundant number, since it is smaller than the sum of its proper divisors (2289113268).

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

1009899540 is a wasteful number, since it uses less digits than its factorization.

1009899540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 431609 (or 431604 counting only the distinct ones).

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

The square root of 1009899540 is about 31778.9165957557. The cubic root of 1009899540 is about 1003.2890171729.

The spelling of 1009899540 in words is "one billion, nine million, eight hundred ninety-nine thousand, five hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 13 15 18 20 26 30 36 39 45 52 60 65 78 90 117 130 156 180 195 234 260 390 468 585 780 1170 2340 431581 863162 1294743 1726324 2157905 2589486 3884229 4315810 5178972 5610553 6473715 7768458 8631620 11221106 12947430 15536916 16831659 19421145 22442212 25894860 28052765 33663318 38842290 50494977 56105530 67326636 77684580 84158295 100989954 112211060 168316590 201979908 252474885 336633180 504949770 1009899540