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125190 = 232513107
BaseRepresentation
bin11110100100000110
320100201200
4132210012
513001230
62403330
71030662
oct364406
9210650
10125190
118606a
1260546
1344ca0
14338a2
1527160
hex1e906

125190 has 48 divisors (see below), whose sum is σ = 353808. Its totient is φ = 30528.

The previous prime is 125183. The next prime is 125197. The reversal of 125190 is 91521.

It is an interprime number because it is at equal distance from previous prime (125183) and next prime (125197).

It is a super-2 number, since 2×1251902 = 31345072200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (125197) by changing a digit.

125190 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1117 + ... + 1223.

It is an arithmetic number, because the mean of its divisors is an integer number (7371).

2125190 is an apocalyptic number.

125190 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 125190, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (176904).

125190 is an abundant number, since it is smaller than the sum of its proper divisors (228618).

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

125190 is a wasteful number, since it uses less digits than its factorization.

125190 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 133 (or 130 counting only the distinct ones).

The product of its (nonzero) digits is 90, while the sum is 18.

The square root of 125190 is about 353.8219891414. The cubic root of 125190 is about 50.0253205086.

The spelling of 125190 in words is "one hundred twenty-five thousand, one hundred ninety".

Divisors: 1 2 3 5 6 9 10 13 15 18 26 30 39 45 65 78 90 107 117 130 195 214 234 321 390 535 585 642 963 1070 1170 1391 1605 1926 2782 3210 4173 4815 6955 8346 9630 12519 13910 20865 25038 41730 62595 125190