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755505660 = 2235713138371
BaseRepresentation
bin101101000010000…
…001100111111100
31221122121122221010
4231002001213330
53021402140120
6202545035220
724502456260
oct5502014774
91848548833
10755505660
11358510648
12191025b10
13c06a4790
14724a60a0
15464d87e0
hex2d0819fc

755505660 has 96 divisors (see below), whose sum is σ = 2603607552. Its totient is φ = 159402240.

The previous prime is 755505659. The next prime is 755505661. The reversal of 755505660 is 66505557.

It is an interprime number because it is at equal distance from previous prime (755505659) and next prime (755505661).

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (755505661) 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, 63726 + ... + 74645.

It is an arithmetic number, because the mean of its divisors is an integer number (27120912).

Almost surely, 2755505660 is an apocalyptic number.

755505660 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

755505660 is an abundant number, since it is smaller than the sum of its proper divisors (1848101892).

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

755505660 is a wasteful number, since it uses less digits than its factorization.

755505660 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 138403 (or 138401 counting only the distinct ones).

The product of its (nonzero) digits is 157500, while the sum is 39.

The square root of 755505660 is about 27486.4632137349. The cubic root of 755505660 is about 910.7780890895.

The spelling of 755505660 in words is "seven hundred fifty-five million, five hundred five thousand, six hundred sixty".

Divisors: 1 2 3 4 5 6 7 10 12 13 14 15 20 21 26 28 30 35 39 42 52 60 65 70 78 84 91 105 130 140 156 182 195 210 260 273 364 390 420 455 546 780 910 1092 1365 1820 2730 5460 138371 276742 415113 553484 691855 830226 968597 1383710 1660452 1798823 1937194 2075565 2767420 2905791 3597646 3874388 4151130 4842985 5396469 5811582 7195292 8302260 8994115 9685970 10792938 11623164 12591761 14528955 17988230 19371940 21585876 25183522 26982345 29057910 35976460 37775283 50367044 53964690 58115820 62958805 75550566 107929380 125917610 151101132 188876415 251835220 377752830 755505660