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5632740 = 223551961
BaseRepresentation
bin10101011111001011100100
3101121011200000
4111133023210
52420221430
6320421300
765606661
oct25371344
911534600
105632740
1131a7a63
121a77830
131222aa9
14a68a68
15763e60
hex55f2e4

5632740 has 144 divisors (see below), whose sum is σ = 18957120. Its totient is φ = 1399680.

The previous prime is 5632733. The next prime is 5632741. The reversal of 5632740 is 472365.

5632740 = T81 + T82 + ... + T324.

It is a happy number.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (5632741) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 92310 + ... + 92370.

Almost surely, 25632740 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 5632740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9478560).

5632740 is an abundant number, since it is smaller than the sum of its proper divisors (13324380).

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

5632740 is a wasteful number, since it uses less digits than its factorization.

5632740 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 104 (or 90 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 27.

The square root of 5632740 is about 2373.3394194679. The cubic root of 5632740 is about 177.9261992588.

The spelling of 5632740 in words is "five million, six hundred thirty-two thousand, seven hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 19 20 27 30 36 38 45 54 57 60 61 76 81 90 95 108 114 122 135 162 171 180 183 190 228 243 244 270 285 305 324 342 366 380 405 486 513 540 549 570 610 684 732 810 855 915 972 1026 1098 1140 1159 1215 1220 1539 1620 1647 1710 1830 2052 2196 2318 2430 2565 2745 3078 3294 3420 3477 3660 4617 4636 4860 4941 5130 5490 5795 6156 6588 6954 7695 8235 9234 9882 10260 10431 10980 11590 13908 14823 15390 16470 17385 18468 19764 20862 23085 23180 24705 29646 30780 31293 32940 34770 41724 46170 49410 52155 59292 62586 69540 74115 92340 93879 98820 104310 125172 148230 156465 187758 208620 281637 296460 312930 375516 469395 563274 625860 938790 1126548 1408185 1877580 2816370 5632740