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5349583960 = 235755734301
BaseRepresentation
bin1001111101101110…
…00010110001011000
3111210211012000121021
410332313002301120
541423443141320
62242500052224
7246365466460
oct47667026130
914724160537
105349583960
1122a5778676
121053694074
136733ca5c6
1438a6a0ba0
152149abdaa
hex13edc2c58

5349583960 has 64 divisors (see below), whose sum is σ = 13781171520. Its totient is φ = 1830796800.

The previous prime is 5349583933. The next prime is 5349583973. The reversal of 5349583960 is 693859435.

It is a junction number, because it is equal to n+sod(n) for n = 5349583898 and 5349583907.

It is a congruent number.

It is an unprimeable number.

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, 138810 + ... + 173110.

It is an arithmetic number, because the mean of its divisors is an integer number (215330805).

Almost surely, 25349583960 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 5349583960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6890585760).

5349583960 is an abundant number, since it is smaller than the sum of its proper divisors (8431587560).

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

5349583960 is a wasteful number, since it uses less digits than its factorization.

5349583960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34876 (or 34872 counting only the distinct ones).

The product of its (nonzero) digits is 3499200, while the sum is 52.

The square root of 5349583960 is about 73140.8501454557. The cubic root of 5349583960 is about 1748.9336589415.

The spelling of 5349583960 in words is "five billion, three hundred forty-nine million, five hundred eighty-three thousand, nine hundred sixty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 56 70 140 280 557 1114 2228 2785 3899 4456 5570 7798 11140 15596 19495 22280 31192 34301 38990 68602 77980 137204 155960 171505 240107 274408 343010 480214 686020 960428 1200535 1372040 1920856 2401070 4802140 9604280 19105657 38211314 76422628 95528285 133739599 152845256 191056570 267479198 382113140 534958396 668697995 764226280 1069916792 1337395990 2674791980 5349583960