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3126995040 = 253513501121
BaseRepresentation
bin1011101001100010…
…0010100001100000
322001220222210210010
42322120202201200
522401002320130
61234142204520
7140330006421
oct27230424140
98056883703
103126995040
11136511a724
12733283740
133aaaba330
14219423648
151347cc0b0
hexba622860

3126995040 has 96 divisors (see below), whose sum is σ = 10607750496. Its totient is φ = 769720320.

The previous prime is 3126995009. The next prime is 3126995051. The reversal of 3126995040 is 405996213.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a self number, because there is not a number n which added to its sum of digits gives 3126995040.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 244321 + ... + 256800.

It is an arithmetic number, because the mean of its divisors is an integer number (110497401).

Almost surely, 23126995040 is an apocalyptic number.

3126995040 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3126995040 is an abundant number, since it is smaller than the sum of its proper divisors (7480755456).

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

3126995040 is a wasteful number, since it uses less digits than its factorization.

3126995040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 501152 (or 501144 counting only the distinct ones).

The product of its (nonzero) digits is 58320, while the sum is 39.

The square root of 3126995040 is about 55919.5407706465. The cubic root of 3126995040 is about 1462.3199246471.

The spelling of 3126995040 in words is "three billion, one hundred twenty-six million, nine hundred ninety-five thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 16 20 24 26 30 32 39 40 48 52 60 65 78 80 96 104 120 130 156 160 195 208 240 260 312 390 416 480 520 624 780 1040 1248 1560 2080 3120 6240 501121 1002242 1503363 2004484 2505605 3006726 4008968 5011210 6013452 6514573 7516815 8017936 10022420 12026904 13029146 15033630 16035872 19543719 20044840 24053808 26058292 30067260 32572865 39087438 40089680 48107616 52116584 60134520 65145730 78174876 80179360 97718595 104233168 120269040 130291460 156349752 195437190 208466336 240538080 260582920 312699504 390874380 521165840 625399008 781748760 1042331680 1563497520 3126995040