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5273640 = 2333519257
BaseRepresentation
bin10100000111100000101000
3100220221002000
4110013200220
52322224030
6305011000
762553021
oct24074050
910827060
105273640
112a82189
121923a60
1311284c8
149b3c48
156e2860
hex507828

5273640 has 128 divisors (see below), whose sum is σ = 18576000. Its totient is φ = 1327104.

The previous prime is 5273629. The next prime is 5273651. The reversal of 5273640 is 463725.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (5273629) and next prime (5273651).

It is a super-2 number, since 2×52736402 = 55622557699200, which contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 20392 + ... + 20648.

It is an arithmetic number, because the mean of its divisors is an integer number (145125).

Almost surely, 25273640 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 5273640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9288000).

5273640 is an abundant number, since it is smaller than the sum of its proper divisors (13302360).

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

5273640 is a wasteful number, since it uses less digits than its factorization.

5273640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 296 (or 286 counting only the distinct ones).

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

The square root of 5273640 is about 2296.4407242513. The cubic root of 5273640 is about 174.0618091946.

The spelling of 5273640 in words is "five million, two hundred seventy-three thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 19 20 24 27 30 36 38 40 45 54 57 60 72 76 90 95 108 114 120 135 152 171 180 190 216 228 257 270 285 342 360 380 456 513 514 540 570 684 760 771 855 1026 1028 1080 1140 1285 1368 1542 1710 2052 2056 2280 2313 2565 2570 3084 3420 3855 4104 4626 4883 5130 5140 6168 6840 6939 7710 9252 9766 10260 10280 11565 13878 14649 15420 18504 19532 20520 23130 24415 27756 29298 30840 34695 39064 43947 46260 48830 55512 58596 69390 73245 87894 92520 97660 117192 131841 138780 146490 175788 195320 219735 263682 277560 292980 351576 439470 527364 585960 659205 878940 1054728 1318410 1757880 2636820 5273640