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5110607000 = 235312740241
BaseRepresentation
bin1001100001001110…
…11010110010011000
3111012011111201211202
410300213122302120
540431303411000
62203042013332
7240434304602
oct46047326230
914164451752
105110607000
112192893754
12ba7647248
13635a47315
14366a54172
151eda03dd5
hex1309dac98

5110607000 has 64 divisors (see below), whose sum is σ = 12053283840. Its totient is φ = 2028096000.

The previous prime is 5110606961. The next prime is 5110607003. The reversal of 5110607000 is 7060115.

It is a super-2 number, since 2×51106070002 = 52236607816898000000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5110607003) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 106880 + ... + 147120.

It is an arithmetic number, because the mean of its divisors is an integer number (188332560).

Almost surely, 25110607000 is an apocalyptic number.

5110607000 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 5110607000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6026641920).

5110607000 is an abundant number, since it is smaller than the sum of its proper divisors (6942676840).

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

5110607000 is a wasteful number, since it uses less digits than its factorization.

5110607000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40389 (or 40375 counting only the distinct ones).

The product of its (nonzero) digits is 210, while the sum is 20.

The square root of 5110607000 is about 71488.5095662233. The cubic root of 5110607000 is about 1722.4931169823.

Adding to 5110607000 its reverse (7060115), we get a palindrome (5117667115).

The spelling of 5110607000 in words is "five billion, one hundred ten million, six hundred seven thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 125 127 200 250 254 500 508 635 1000 1016 1270 2540 3175 5080 6350 12700 15875 25400 31750 40241 63500 80482 127000 160964 201205 321928 402410 804820 1006025 1609640 2012050 4024100 5030125 5110607 8048200 10060250 10221214 20120500 20442428 25553035 40241000 40884856 51106070 102212140 127765175 204424280 255530350 511060700 638825875 1022121400 1277651750 2555303500 5110607000