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5165700 = 2235267257
BaseRepresentation
bin10011101101001010000100
3100201110000020
4103231022010
52310300300
6302415140
761623231
oct23551204
910643006
105165700
112a09081
1218914b0
1310bb337
14986788
156c08a0
hex4ed284

5165700 has 72 divisors (see below), whose sum is σ = 15228192. Its totient is φ = 1351680.

The previous prime is 5165689. The next prime is 5165707. The reversal of 5165700 is 75615.

It is not an unprimeable number, because it can be changed into a prime (5165707) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 19972 + ... + 20228.

Almost surely, 25165700 is an apocalyptic number.

5165700 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5165700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7614096).

5165700 is an abundant number, since it is smaller than the sum of its proper divisors (10062492).

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

5165700 is a wasteful number, since it uses less digits than its factorization.

5165700 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 341 (or 334 counting only the distinct ones).

The product of its (nonzero) digits is 1050, while the sum is 24.

The square root of 5165700 is about 2272.8176345673. The cubic root of 5165700 is about 172.8660573492.

It can be divided in two parts, 516 and 5700, that added together give a triangular number (6216 = T111).

The spelling of 5165700 in words is "five million, one hundred sixty-five thousand, seven hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 67 75 100 134 150 201 257 268 300 335 402 514 670 771 804 1005 1028 1285 1340 1542 1675 2010 2570 3084 3350 3855 4020 5025 5140 6425 6700 7710 10050 12850 15420 17219 19275 20100 25700 34438 38550 51657 68876 77100 86095 103314 172190 206628 258285 344380 430475 516570 860950 1033140 1291425 1721900 2582850 5165700