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125467040 = 2555913291
BaseRepresentation
bin1110111101001…
…11100110100000
322202002101102102
413132213212200
5224104421130
620241105532
73052311056
oct736474640
9282071372
10125467040
1164906276
12360282a8
131ccbc46a
14129401d6
15b035645
hex77a79a0

125467040 has 48 divisors (see below), whose sum is σ = 301462560. Its totient is φ = 49332480.

The previous prime is 125467019. The next prime is 125467049. The reversal of 125467040 is 40764521.

It is a junction number, because it is equal to n+sod(n) for n = 125466994 and 125467012.

It is not an unprimeable number, because it can be changed into a prime (125467049) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2795 + ... + 16085.

It is an arithmetic number, because the mean of its divisors is an integer number (6280470).

Almost surely, 2125467040 is an apocalyptic number.

125467040 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 125467040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150731280).

125467040 is an abundant number, since it is smaller than the sum of its proper divisors (175995520).

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

125467040 is a wasteful number, since it uses less digits than its factorization.

125467040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13365 (or 13357 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 29.

The square root of 125467040 is about 11201.2070778109. The cubic root of 125467040 is about 500.6219460455.

The spelling of 125467040 in words is "one hundred twenty-five million, four hundred sixty-seven thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 59 80 118 160 236 295 472 590 944 1180 1888 2360 4720 9440 13291 26582 53164 66455 106328 132910 212656 265820 425312 531640 784169 1063280 1568338 2126560 3136676 3920845 6273352 7841690 12546704 15683380 25093408 31366760 62733520 125467040