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7132125 = 3537111319
BaseRepresentation
bin11011001101001111011101
3111102100102210
4123031033131
53311212000
6412511033
7114423240
oct33151735
914370383
107132125
114031520
12247b479
1316293c0
14d39257
1595d350
hex6cd3dd

7132125 has 128 divisors (see below), whose sum is σ = 16773120. Its totient is φ = 2592000.

The previous prime is 7132123. The next prime is 7132127. The reversal of 7132125 is 5212317.

It is an interprime number because it is at equal distance from previous prime (7132123) and next prime (7132127).

It is not a de Polignac number, because 7132125 - 21 = 7132123 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7132121) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 375366 + ... + 375384.

It is an arithmetic number, because the mean of its divisors is an integer number (131040).

Almost surely, 27132125 is an apocalyptic number.

7132125 is a gapful number since it is divisible by the number (75) formed by its first and last digit.

It is an amenable number.

7132125 is an abundant number, since it is smaller than the sum of its proper divisors (9640995).

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

7132125 is a wasteful number, since it uses less digits than its factorization.

7132125 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 68 (or 58 counting only the distinct ones).

The product of its digits is 420, while the sum is 21.

The square root of 7132125 is about 2670.6038642974. The cubic root of 7132125 is about 192.4891768807.

The spelling of 7132125 in words is "seven million, one hundred thirty-two thousand, one hundred twenty-five".

Divisors: 1 3 5 7 11 13 15 19 21 25 33 35 39 55 57 65 75 77 91 95 105 125 133 143 165 175 195 209 231 247 273 275 285 325 375 385 399 429 455 475 525 627 665 715 741 825 875 975 1001 1045 1155 1235 1365 1375 1425 1463 1625 1729 1925 1995 2145 2275 2375 2625 2717 3003 3135 3325 3575 3705 4125 4389 4875 5005 5187 5225 5775 6175 6825 7125 7315 8151 8645 9625 9975 10725 11375 13585 15015 15675 16625 17875 18525 19019 21945 25025 25935 26125 28875 30875 34125 36575 40755 43225 49875 53625 57057 67925 75075 78375 92625 95095 109725 125125 129675 182875 203775 216125 285285 339625 375375 475475 548625 648375 1018875 1426425 2377375 7132125