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5632380 = 22325132983
BaseRepresentation
bin10101011111000101111100
3101121011011200
4111133011330
52420214010
6320415500
765605635
oct25370574
911534150
105632380
1131a7766
121a77590
131222890
14a6888c
15763cc0
hex55f17c

5632380 has 144 divisors (see below), whose sum is σ = 19262880. Its totient is φ = 1322496.

The previous prime is 5632327. The next prime is 5632387. The reversal of 5632380 is 832365.

5632380 is a `hidden beast` number, since 563 + 23 + 80 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5632387) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 67819 + ... + 67901.

It is an arithmetic number, because the mean of its divisors is an integer number (133770).

Almost surely, 25632380 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 5632380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9631440).

5632380 is an abundant number, since it is smaller than the sum of its proper divisors (13630500).

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

5632380 is a wasteful number, since it uses less digits than its factorization.

5632380 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 140 (or 135 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 5632380 is about 2373.2635757539. The cubic root of 5632380 is about 177.9224086349.

The spelling of 5632380 in words is "five million, six hundred thirty-two thousand, three hundred eighty".

Divisors: 1 2 3 4 5 6 9 10 12 13 15 18 20 26 29 30 36 39 45 52 58 60 65 78 83 87 90 116 117 130 145 156 166 174 180 195 234 249 260 261 290 332 348 377 390 415 435 468 498 522 580 585 747 754 780 830 870 996 1044 1079 1131 1170 1245 1305 1494 1508 1660 1740 1885 2158 2262 2340 2407 2490 2610 2988 3237 3393 3735 3770 4316 4524 4814 4980 5220 5395 5655 6474 6786 7221 7470 7540 9628 9711 10790 11310 12035 12948 13572 14442 14940 16185 16965 19422 21580 21663 22620 24070 28884 31291 32370 33930 36105 38844 43326 48140 48555 62582 64740 67860 72210 86652 93873 97110 108315 125164 144420 156455 187746 194220 216630 281619 312910 375492 433260 469365 563238 625820 938730 1126476 1408095 1877460 2816190 5632380