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3125545680 = 243553245719
BaseRepresentation
bin1011101001001100…
…0000101011010000
322001211021011122010
42322103000223100
522400114430210
61234051142520
7140311462035
oct27223005320
98054234563
103125545680
11136431a804
127328a4a40
133aa70071a
1421916738c
151345e2920
hexba4c0ad0

3125545680 has 80 divisors (see below), whose sum is σ = 9872046720. Its totient is φ = 817749504.

The previous prime is 3125545607. The next prime is 3125545723. The reversal of 3125545680 is 865455213.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 110140 + ... + 135579.

It is an arithmetic number, because the mean of its divisors is an integer number (123400584).

Almost surely, 23125545680 is an apocalyptic number.

3125545680 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3125545680 is an abundant number, since it is smaller than the sum of its proper divisors (6746501040).

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

3125545680 is a wasteful number, since it uses less digits than its factorization.

3125545680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 245788 (or 245782 counting only the distinct ones).

The product of its (nonzero) digits is 144000, while the sum is 39.

The square root of 3125545680 is about 55906.5799347447. The cubic root of 3125545680 is about 1462.0939616470.

The spelling of 3125545680 in words is "three billion, one hundred twenty-five million, five hundred forty-five thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 53 60 80 106 120 159 212 240 265 318 424 530 636 795 848 1060 1272 1590 2120 2544 3180 4240 6360 12720 245719 491438 737157 982876 1228595 1474314 1965752 2457190 2948628 3685785 3931504 4914380 5897256 7371570 9828760 11794512 13023107 14743140 19657520 26046214 29486280 39069321 52092428 58972560 65115535 78138642 104184856 130231070 156277284 195346605 208369712 260462140 312554568 390693210 520924280 625109136 781386420 1041848560 1562772840 3125545680