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3145006660 = 2252337257719
BaseRepresentation
bin1011101101110100…
…1111111001000100
322010011212220002011
42323131033321010
522420110203120
61240024224004
7140636054425
oct27335177104
98104786064
103145006660
111374302064
1273930b004
133b17556b3
1421b99164c
15136188c5a
hexbb74fe44

3145006660 has 96 divisors (see below), whose sum is σ = 7115351040. Its totient is φ = 1164607488.

The previous prime is 3145006649. The next prime is 3145006663. The reversal of 3145006660 is 666005413.

It is not an unprimeable number, because it can be changed into a prime (3145006663) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4373781 + ... + 4374499.

It is an arithmetic number, because the mean of its divisors is an integer number (74118240).

Almost surely, 23145006660 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 3145006660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3557675520).

3145006660 is an abundant number, since it is smaller than the sum of its proper divisors (3970344380).

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

3145006660 is a wasteful number, since it uses less digits than its factorization.

3145006660 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1045 (or 1043 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 31.

The square root of 3145006660 is about 56080.3589503491. The cubic root of 3145006660 is about 1465.1222253555.

The spelling of 3145006660 in words is "three billion, one hundred forty-five million, six thousand, six hundred sixty".

Divisors: 1 2 4 5 10 20 23 37 46 74 92 115 148 185 230 257 370 460 514 719 740 851 1028 1285 1438 1702 2570 2876 3404 3595 4255 5140 5911 7190 8510 9509 11822 14380 16537 17020 19018 23644 26603 29555 33074 38036 47545 53206 59110 66148 82685 95090 106412 118220 133015 165370 184783 190180 218707 266030 330740 369566 437414 532060 611869 739132 874828 923915 1093535 1223738 1847830 2187070 2447476 3059345 3695660 4250009 4374140 6118690 6836971 8500018 12237380 13673942 17000036 21250045 27347884 34184855 42500090 68369710 85000180 136739420 157250333 314500666 629001332 786251665 1572503330 3145006660