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5880802720 = 2551314331973
BaseRepresentation
bin1010111101000010…
…11110110110100000
3120011211202201202011
411132201132312200
544020441141340
62411314002304
7265505666302
oct53641366640
916154681664
105880802720
112548618141
121181576394
13729493330
143db061972
152464400ea
hex15e85eda0

5880802720 has 96 divisors (see below), whose sum is σ = 14980149072. Its totient is φ = 2168758272.

The previous prime is 5880802717. The next prime is 5880802721. The reversal of 5880802720 is 272080885.

It can be written as a sum of positive squares in 8 ways, for example, as 1592648464 + 4288154256 = 39908^2 + 65484^2 .

It is a Harshad number since it is a multiple of its sum of digits (40).

It is not an unprimeable number, because it can be changed into a prime (5880802721) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2979654 + ... + 2981626.

Almost surely, 25880802720 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5880802720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7490074536).

5880802720 is an abundant number, since it is smaller than the sum of its proper divisors (9099346352).

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

5880802720 is a wasteful number, since it uses less digits than its factorization.

5880802720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3434 (or 3426 counting only the distinct ones).

The product of its (nonzero) digits is 71680, while the sum is 40.

The square root of 5880802720 is about 76686.3920131858. The cubic root of 5880802720 is about 1805.0069157174.

The spelling of 5880802720 in words is "five billion, eight hundred eighty million, eight hundred two thousand, seven hundred twenty".

Divisors: 1 2 4 5 8 10 13 16 20 26 32 40 52 65 80 104 130 160 208 260 416 520 1040 1433 1973 2080 2866 3946 5732 7165 7892 9865 11464 14330 15784 18629 19730 22928 25649 28660 31568 37258 39460 45856 51298 57320 63136 74516 78920 93145 102596 114640 128245 149032 157840 186290 205192 229280 256490 298064 315680 372580 410384 512980 596128 745160 820768 1025960 1490320 2051920 2827309 2980640 4103840 5654618 11309236 14136545 22618472 28273090 36755017 45236944 56546180 73510034 90473888 113092360 147020068 183775085 226184720 294040136 367550170 452369440 588080272 735100340 1176160544 1470200680 2940401360 5880802720