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125332240 = 24511731951
BaseRepresentation
bin1110111100001…
…10101100010000
322201211112111211
413132012230100
5224041112430
620234145504
73051210055
oct736065420
9281745454
10125332240
1164823a70
1235b82294
131cc72cb7
141290702c
15b00a72a
hex7786b10

125332240 has 80 divisors (see below), whose sum is σ = 322407936. Its totient is φ = 44928000.

The previous prime is 125332237. The next prime is 125332261. The reversal of 125332240 is 42233521.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (22).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 63265 + ... + 65215.

Almost surely, 2125332240 is an apocalyptic number.

125332240 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 125332240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161203968).

125332240 is an abundant number, since it is smaller than the sum of its proper divisors (197075696).

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

125332240 is a wasteful number, since it uses less digits than its factorization.

125332240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2048 (or 2042 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 22.

The square root of 125332240 is about 11195.1882521019. The cubic root of 125332240 is about 500.4425947708.

Adding to 125332240 its reverse (42233521), we get a palindrome (167565761).

The spelling of 125332240 in words is "one hundred twenty-five million, three hundred thirty-two thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 11 16 20 22 40 44 55 73 80 88 110 146 176 220 292 365 440 584 730 803 880 1168 1460 1606 1951 2920 3212 3902 4015 5840 6424 7804 8030 9755 12848 15608 16060 19510 21461 31216 32120 39020 42922 64240 78040 85844 107305 142423 156080 171688 214610 284846 343376 429220 569692 712115 858440 1139384 1424230 1566653 1716880 2278768 2848460 3133306 5696920 6266612 7833265 11393840 12533224 15666530 25066448 31333060 62666120 125332240