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5330606120 = 2357214918253
BaseRepresentation
bin1001111011011101…
…01001100000101000
3111202111110211220022
410331232221200220
541404113343440
62240541220012
7246045255500
oct47556514050
914674424808
105330606120
112295a96304
121049261608
1366c4b4508
14387d60a00
15212eadcb5
hex13dba9828

5330606120 has 96 divisors (see below), whose sum is σ = 14046453000. Its totient is φ = 1815270912.

The previous prime is 5330606111. The next prime is 5330606129. The reversal of 5330606120 is 216060335.

It is a Cunningham number, because it is equal to 730112-1.

It is an interprime number because it is at equal distance from previous prime (5330606111) and next prime (5330606129).

It can be written as a sum of positive squares in 4 ways, for example, as 1328019364 + 4002586756 = 36442^2 + 63266^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 5330606120.

It is not an unprimeable number, because it can be changed into a prime (5330606129) 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, 282914 + ... + 301166.

Almost surely, 25330606120 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 5330606120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7023226500).

5330606120 is an abundant number, since it is smaller than the sum of its proper divisors (8715846880).

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

5330606120 is a wasteful number, since it uses less digits than its factorization.

5330606120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18427 (or 18416 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 26.

The square root of 5330606120 is about 73010.9999931517. Note that the first 5 decimals coincide. The cubic root of 5330606120 is about 1746.8630736607.

Adding to 5330606120 its reverse (216060335), we get a palindrome (5546666455).

The spelling of 5330606120 in words is "five billion, three hundred thirty million, six hundred six thousand, one hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 49 56 70 98 140 149 196 245 280 298 392 490 596 745 980 1043 1192 1490 1960 2086 2980 4172 5215 5960 7301 8344 10430 14602 18253 20860 29204 36505 36506 41720 58408 73010 73012 91265 127771 146020 146024 182530 255542 292040 365060 511084 638855 730120 894397 1022168 1277710 1788794 2555420 2719697 3577588 4471985 5110840 5439394 7155176 8943970 10878788 13598485 17887940 19037879 21757576 27196970 35775880 38075758 54393940 76151516 95189395 108787880 133265153 152303032 190378790 266530306 380757580 533060612 666325765 761515160 1066121224 1332651530 2665303060 5330606120