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3009875040 = 253252090191
BaseRepresentation
bin1011001101100111…
…0000110001100000
321202202121111100100
42303121300301200
522131012000130
61214400022400
7134405341614
oct26331606140
97682544310
103009875040
111304aa5737
12700001a00
1338c761263
14207a57344
15129394c60
hexb3670c60

3009875040 has 72 divisors (see below), whose sum is σ = 10271203488. Its totient is φ = 802632960.

The previous prime is 3009875017. The next prime is 3009875047. The reversal of 3009875040 is 405789003.

It is a tau number, because it is divible by the number of its divisors (72).

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 = 3009874986 and 3009875004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3009875047) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1043656 + ... + 1046535.

It is an arithmetic number, because the mean of its divisors is an integer number (142655604).

Almost surely, 23009875040 is an apocalyptic number.

3009875040 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3009875040 is an abundant number, since it is smaller than the sum of its proper divisors (7261328448).

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

3009875040 is a wasteful number, since it uses less digits than its factorization.

3009875040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2090212 (or 2090201 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The square root of 3009875040 is about 54862.3280585139. The cubic root of 3009875040 is about 1443.8303118308.

The spelling of 3009875040 in words is "three billion, nine million, eight hundred seventy-five thousand, forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 72 80 90 96 120 144 160 180 240 288 360 480 720 1440 2090191 4180382 6270573 8360764 10450955 12541146 16721528 18811719 20901910 25082292 31352865 33443056 37623438 41803820 50164584 62705730 66886112 75246876 83607640 94058595 100329168 125411460 150493752 167215280 188117190 200658336 250822920 300987504 334430560 376234380 501645840 601975008 752468760 1003291680 1504937520 3009875040