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3070099872 = 253272236829
BaseRepresentation
bin1011011011111110…
…0000000110100000
321220221221020021200
42312333200012200
522241421143442
61224350521200
7136036263330
oct26677400640
97827836250
103070099872
111335a9a524
12718206200
1339c089658
14211a530c0
1512e7de34c
hexb6fe01a0

3070099872 has 144 divisors (see below), whose sum is σ = 10024035840. Its totient is φ = 873110016.

The previous prime is 3070099859. The next prime is 3070099873. The reversal of 3070099872 is 2789900703.

It is a tau number, because it is divible by the number of its divisors (144).

It is not an unprimeable number, because it can be changed into a prime (3070099873) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 446154 + ... + 452982.

It is an arithmetic number, because the mean of its divisors is an integer number (69611360).

Almost surely, 23070099872 is an apocalyptic number.

3070099872 is a gapful number since it is divisible by the number (32) 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 3070099872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5012017920).

3070099872 is an abundant number, since it is smaller than the sum of its proper divisors (6953935968).

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

3070099872 is a wasteful number, since it uses less digits than its factorization.

3070099872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7075 (or 7064 counting only the distinct ones).

The product of its (nonzero) digits is 190512, while the sum is 45.

The square root of 3070099872 is about 55408.4819499686. The cubic root of 3070099872 is about 1453.3966935502.

The spelling of 3070099872 in words is "three billion, seventy million, ninety-nine thousand, eight hundred seventy-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 56 63 72 84 96 112 126 144 168 223 224 252 288 336 446 504 669 672 892 1008 1338 1561 1784 2007 2016 2676 3122 3568 4014 4683 5352 6244 6829 7136 8028 9366 10704 12488 13658 14049 16056 18732 20487 21408 24976 27316 28098 32112 37464 40974 47803 49952 54632 56196 61461 64224 74928 81948 95606 109264 112392 122922 143409 149856 163896 191212 218528 224784 245844 286818 327792 382424 430227 449568 491688 573636 655584 764848 860454 983376 1147272 1522867 1529696 1720908 1966752 2294544 3045734 3441816 4568601 4589088 6091468 6883632 9137202 10660069 12182936 13705803 13767264 18274404 21320138 24365872 27411606 31980207 36548808 42640276 48731744 54823212 63960414 73097616 85280552 95940621 109646424 127920828 146195232 170561104 191881242 219292848 255841656 341122208 383762484 438585696 511683312 767524968 1023366624 1535049936 3070099872