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5682355120 = 2451329188407
BaseRepresentation
bin1010100101011000…
…11101101110110000
3112200000100112211001
411102230131232300
543114140330440
62335504331344
7260546136001
oct52254355660
915600315731
105682355120
1124565a5562
121127013b54
136c7330810
143bc9651a8
15233ce0b9a
hex152b1dbb0

5682355120 has 80 divisors (see below), whose sum is σ = 14718432960. Its totient is φ = 2025741312.

The previous prime is 5682355109. The next prime is 5682355121. The reversal of 5682355120 is 215532865.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is a self number, because there is not a number n which added to its sum of digits gives 5682355120.

It is not an unprimeable number, because it can be changed into a prime (5682355121) 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, 64044 + ... + 124363.

It is an arithmetic number, because the mean of its divisors is an integer number (183980412).

Almost surely, 25682355120 is an apocalyptic number.

It is an amenable number.

5682355120 is an abundant number, since it is smaller than the sum of its proper divisors (9036077840).

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

5682355120 is a wasteful number, since it uses less digits than its factorization.

5682355120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 188462 (or 188456 counting only the distinct ones).

The product of its (nonzero) digits is 72000, while the sum is 37.

The square root of 5682355120 is about 75381.3977052694. The cubic root of 5682355120 is about 1784.4708467158.

Adding to 5682355120 its reverse (215532865), we get a palindrome (5897887985).

The spelling of 5682355120 in words is "five billion, six hundred eighty-two million, three hundred fifty-five thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 13 16 20 26 29 40 52 58 65 80 104 116 130 145 208 232 260 290 377 464 520 580 754 1040 1160 1508 1885 2320 3016 3770 6032 7540 15080 30160 188407 376814 753628 942035 1507256 1884070 2449291 3014512 3768140 4898582 5463803 7536280 9797164 10927606 12246455 15072560 19594328 21855212 24492910 27319015 39188656 43710424 48985820 54638030 71029439 87420848 97971640 109276060 142058878 195943280 218552120 284117756 355147195 437104240 568235512 710294390 1136471024 1420588780 2841177560 5682355120