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3420186125 = 53611572857
BaseRepresentation
bin1100101111011011…
…1110011000001101
322211100200110100012
43023312332120031
524001031424000
61323214243005
7150520050056
oct31366763015
98740613305
103420186125
1114a5673504
127b54b6465
13426772b95
1424634372d
151503e3735
hexcbdbe60d

3420186125 has 32 divisors (see below), whose sum is σ = 4367527008. Its totient is φ = 2673216000.

The previous prime is 3420186101. The next prime is 3420186127. The reversal of 3420186125 is 5216810243.

It can be written as a sum of positive squares in 16 ways, for example, as 3206617129 + 213568996 = 56627^2 + 14614^2 .

It is not a de Polignac number, because 3420186125 - 224 = 3403408909 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 3420186091 and 3420186100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3420186127) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1195697 + ... + 1198553.

It is an arithmetic number, because the mean of its divisors is an integer number (136485219).

Almost surely, 23420186125 is an apocalyptic number.

It is an amenable number.

3420186125 is a deficient number, since it is larger than the sum of its proper divisors (947340883).

3420186125 is a wasteful number, since it uses less digits than its factorization.

3420186125 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3090 (or 3080 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 32.

The square root of 3420186125 is about 58482.3573823764. The cubic root of 3420186125 is about 1506.6645857506.

Adding to 3420186125 its reverse (5216810243), we get a palindrome (8636996368).

The spelling of 3420186125 in words is "three billion, four hundred twenty million, one hundred eighty-six thousand, one hundred twenty-five".

Divisors: 1 5 25 61 125 157 305 785 1525 2857 3925 7625 9577 14285 19625 47885 71425 174277 239425 357125 448549 871385 1197125 2242745 4356925 11213725 21784625 27361489 56068625 136807445 684037225 3420186125