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125802480 = 24352931789
BaseRepresentation
bin1110111111110…
…01011111110000
322202201102120010
413133321133300
5224201134410
620252214520
73055206036
oct737713760
9282642503
10125802480
11650152a1
123616a440
13200a904b
14129ca556
15b09ec20
hex77f97f0

125802480 has 80 divisors (see below), whose sum is σ = 391537440. Its totient is φ = 33414144.

The previous prime is 125802463. The next prime is 125802491. The reversal of 125802480 is 84208521.

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 (30).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 69426 + ... + 71214.

It is an arithmetic number, because the mean of its divisors is an integer number (4894218).

Almost surely, 2125802480 is an apocalyptic number.

125802480 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 125802480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (195768720).

125802480 is an abundant number, since it is smaller than the sum of its proper divisors (265734960).

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

125802480 is a wasteful number, since it uses less digits than its factorization.

125802480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2098 (or 2092 counting only the distinct ones).

The product of its (nonzero) digits is 5120, while the sum is 30.

The square root of 125802480 is about 11216.1704694606. The cubic root of 125802480 is about 501.0676917790.

The spelling of 125802480 in words is "one hundred twenty-five million, eight hundred two thousand, four hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 293 586 879 1172 1465 1758 1789 2344 2930 3516 3578 4395 4688 5367 5860 7032 7156 8790 8945 10734 11720 14064 14312 17580 17890 21468 23440 26835 28624 35160 35780 42936 53670 70320 71560 85872 107340 143120 214680 429360 524177 1048354 1572531 2096708 2620885 3145062 4193416 5241770 6290124 7862655 8386832 10483540 12580248 15725310 20967080 25160496 31450620 41934160 62901240 125802480