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125481780 = 22325697121
BaseRepresentation
bin1110111101010…
…11001100110100
322202010010122100
413132223030310
5224110404110
620241302100
73052402044
oct736531464
9282103570
10125481780
1164916356
1236034930
131ccc6098
1412945724
15b039bc0
hex77ab334

125481780 has 36 divisors (see below), whose sum is σ = 380628612. Its totient is φ = 33461760.

The previous prime is 125481773. The next prime is 125481787. The reversal of 125481780 is 87184521.

It is an interprime number because it is at equal distance from previous prime (125481773) and next prime (125481787).

It can be written as a sum of positive squares in 2 ways, for example, as 66683556 + 58798224 = 8166^2 + 7668^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×1254817802 = 31491354223936800, which contains 22 as substring.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (125481787) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 348381 + ... + 348740.

It is an arithmetic number, because the mean of its divisors is an integer number (10573017).

Almost surely, 2125481780 is an apocalyptic number.

125481780 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

125481780 is an abundant number, since it is smaller than the sum of its proper divisors (255146832).

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

125481780 is a wasteful number, since it uses less digits than its factorization.

125481780 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 697136 (or 697131 counting only the distinct ones).

The product of its (nonzero) digits is 17920, while the sum is 36.

The square root of 125481780 is about 11201.8650232896. The cubic root of 125481780 is about 500.6415498089.

The spelling of 125481780 in words is "one hundred twenty-five million, four hundred eighty-one thousand, seven hundred eighty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 697121 1394242 2091363 2788484 3485605 4182726 6274089 6971210 8365452 10456815 12548178 13942420 20913630 25096356 31370445 41827260 62740890 125481780