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125346390 = 23513331971
BaseRepresentation
bin1110111100010…
…10001001010110
322201212020220220
413132022021112
5224042041030
620234335210
73051266241
oct736121126
9281766826
10125346390
1164833664
1235b8a506
131cc79580
141290c258
15b00ea10
hex778a256

125346390 has 64 divisors (see below), whose sum is σ = 325285632. Its totient is φ = 30729600.

The previous prime is 125346383. The next prime is 125346391. The reversal of 125346390 is 93643521.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (125346391) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 128605 + ... + 129575.

It is an arithmetic number, because the mean of its divisors is an integer number (5082588).

Almost surely, 2125346390 is an apocalyptic number.

125346390 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 125346390, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162642816).

125346390 is an abundant number, since it is smaller than the sum of its proper divisors (199939242).

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

125346390 is a wasteful number, since it uses less digits than its factorization.

125346390 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1325.

The product of its (nonzero) digits is 19440, while the sum is 33.

The square root of 125346390 is about 11195.8202022005. The cubic root of 125346390 is about 500.4614273719.

The spelling of 125346390 in words is "one hundred twenty-five million, three hundred forty-six thousand, three hundred ninety".

Divisors: 1 2 3 5 6 10 13 15 26 30 39 65 78 130 195 331 390 662 971 993 1655 1942 1986 2913 3310 4303 4855 4965 5826 8606 9710 9930 12623 12909 14565 21515 25246 25818 29130 37869 43030 63115 64545 75738 126230 129090 189345 321401 378690 642802 964203 1607005 1928406 3214010 4178213 4821015 8356426 9642030 12534639 20891065 25069278 41782130 62673195 125346390