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5135360 = 21051759
BaseRepresentation
bin10011100101110000000000
3100122220101112
4103211300000
52303312420
6302022452
761435616
oct23456000
910586345
105135360
1129982aa
121877a28
1310aa599
149796b6
156b68c5
hex4e5c00

5135360 has 88 divisors (see below), whose sum is σ = 13264560. Its totient is φ = 1900544.

The previous prime is 5135357. The next prime is 5135363. The reversal of 5135360 is 635315.

It is an interprime number because it is at equal distance from previous prime (5135357) and next prime (5135363).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5135363) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 87011 + ... + 87069.

Almost surely, 25135360 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 5135360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6632280).

5135360 is an abundant number, since it is smaller than the sum of its proper divisors (8129200).

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

5135360 is a wasteful number, since it uses less digits than its factorization.

5135360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 101 (or 83 counting only the distinct ones).

The product of its (nonzero) digits is 1350, while the sum is 23.

The square root of 5135360 is about 2266.1332705735. The cubic root of 5135360 is about 172.5269579097.

The spelling of 5135360 in words is "five million, one hundred thirty-five thousand, three hundred sixty".

Divisors: 1 2 4 5 8 10 16 17 20 32 34 40 59 64 68 80 85 118 128 136 160 170 236 256 272 295 320 340 472 512 544 590 640 680 944 1003 1024 1088 1180 1280 1360 1888 2006 2176 2360 2560 2720 3776 4012 4352 4720 5015 5120 5440 7552 8024 8704 9440 10030 10880 15104 16048 17408 18880 20060 21760 30208 32096 37760 40120 43520 60416 64192 75520 80240 87040 128384 151040 160480 256768 302080 320960 513536 641920 1027072 1283840 2567680 5135360