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675945540 = 223354726633
BaseRepresentation
bin101000010010100…
…001110001000100
31202002220120222000
4220102201301010
52341020224130
6151023505300
722515304464
oct5022416104
91662816860
10675945540
1131760a986
1216a458230
13aa06969a
1465ab5ba4
153e520260
hex284a1c44

675945540 has 96 divisors (see below), whose sum is σ = 2147765760. Its totient is φ = 176410368.

The previous prime is 675945527. The next prime is 675945541. The reversal of 675945540 is 45549576.

675945540 is a `hidden beast` number, since 6 + 7 + 5 + 94 + 554 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (675945541) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 12064 + ... + 38696.

It is an arithmetic number, because the mean of its divisors is an integer number (22372560).

Almost surely, 2675945540 is an apocalyptic number.

675945540 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 675945540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1073882880).

675945540 is an abundant number, since it is smaller than the sum of its proper divisors (1471820220).

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

675945540 is a wasteful number, since it uses less digits than its factorization.

675945540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26698 (or 26690 counting only the distinct ones).

The product of its (nonzero) digits is 756000, while the sum is 45.

The square root of 675945540 is about 25998.9526712135. The cubic root of 675945540 is about 877.6147267631.

The spelling of 675945540 in words is "six hundred seventy-five million, nine hundred forty-five thousand, five hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 47 54 60 90 94 108 135 141 180 188 235 270 282 423 470 540 564 705 846 940 1269 1410 1692 2115 2538 2820 4230 5076 6345 8460 12690 25380 26633 53266 79899 106532 133165 159798 239697 266330 319596 399495 479394 532660 719091 798990 958788 1198485 1251751 1438182 1597980 2396970 2503502 2876364 3595455 3755253 4793940 5007004 6258755 7190910 7510506 11265759 12517510 14381820 15021012 18776265 22531518 25035020 33797277 37552530 45063036 56328795 67594554 75105060 112657590 135189108 168986385 225315180 337972770 675945540