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125343020 = 225111015641
BaseRepresentation
bin1110111100010…
…01010100101100
322201212002022002
413132021110230
5224041434040
620234311432
73051253355
oct736112454
9281762262
10125343020
1164831080
1235b88578
131cc77b8a
141290ad2c
15b00da15
hex778952c

125343020 has 48 divisors (see below), whose sum is σ = 290043936. Its totient is φ = 45120000.

The previous prime is 125343007. The next prime is 125343037. The reversal of 125343020 is 20343521.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 125342983 and 125343001.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 19400 + ... + 25040.

It is an arithmetic number, because the mean of its divisors is an integer number (6042582).

Almost surely, 2125343020 is an apocalyptic number.

125343020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 125343020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145021968).

125343020 is an abundant number, since it is smaller than the sum of its proper divisors (164700916).

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

125343020 is a wasteful number, since it uses less digits than its factorization.

125343020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5762 (or 5760 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 20.

The square root of 125343020 is about 11195.6696985933. The cubic root of 125343020 is about 500.4569422803.

Adding to 125343020 its reverse (20343521), we get a palindrome (145686541).

The spelling of 125343020 in words is "one hundred twenty-five million, three hundred forty-three thousand, twenty".

Divisors: 1 2 4 5 10 11 20 22 44 55 101 110 202 220 404 505 1010 1111 2020 2222 4444 5555 5641 11110 11282 22220 22564 28205 56410 62051 112820 124102 248204 310255 569741 620510 1139482 1241020 2278964 2848705 5697410 6267151 11394820 12534302 25068604 31335755 62671510 125343020