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5381640 = 2334511151
BaseRepresentation
bin10100100001111000001000
3101010102020000
4110201320020
52334203030
6311203000
763512625
oct24417010
911112200
105381640
113046340
121976460
131165704
14a0134c
15714860
hex521e08

5381640 has 160 divisors (see below), whose sum is σ = 19863360. Its totient is φ = 1296000.

The previous prime is 5381627. The next prime is 5381653. The reversal of 5381640 is 461835.

It is an interprime number because it is at equal distance from previous prime (5381627) and next prime (5381653).

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

It is a zygodrome in base 9.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 35565 + ... + 35715.

It is an arithmetic number, because the mean of its divisors is an integer number (124146).

Almost surely, 25381640 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 5381640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9931680).

5381640 is an abundant number, since it is smaller than the sum of its proper divisors (14481720).

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

5381640 is a wasteful number, since it uses less digits than its factorization.

5381640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 185 (or 172 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 5381640 is about 2319.8362011142. The cubic root of 5381640 is about 175.2420053157.

The spelling of 5381640 in words is "five million, three hundred eighty-one thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 11 12 15 18 20 22 24 27 30 33 36 40 44 45 54 55 60 66 72 81 88 90 99 108 110 120 132 135 151 162 165 180 198 216 220 264 270 297 302 324 330 360 396 405 440 453 495 540 594 604 648 660 755 792 810 891 906 990 1080 1188 1208 1320 1359 1485 1510 1620 1661 1782 1812 1980 2265 2376 2718 2970 3020 3240 3322 3564 3624 3960 4077 4455 4530 4983 5436 5940 6040 6644 6795 7128 8154 8305 8910 9060 9966 10872 11880 12231 13288 13590 14949 16308 16610 17820 18120 19932 20385 24462 24915 27180 29898 32616 33220 35640 39864 40770 44847 48924 49830 54360 59796 61155 66440 74745 81540 89694 97848 99660 119592 122310 134541 149490 163080 179388 199320 224235 244620 269082 298980 358776 448470 489240 538164 597960 672705 896940 1076328 1345410 1793880 2690820 5381640