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126167940 = 22325700933
BaseRepresentation
bin1111000010100…
…10101110000100
322210101222212200
413201102232010
5224244333230
620304114500
73061260363
oct741225604
9283358780
10126167940
1165244928
1236305a30
13201a64b2
1412a837da
15b123160
hex7852b84

126167940 has 36 divisors (see below), whose sum is σ = 382709964. Its totient is φ = 33644736.

The previous prime is 126167939. The next prime is 126167941. The reversal of 126167940 is 49761621.

It is an interprime number because it is at equal distance from previous prime (126167939) and next prime (126167941).

It can be written as a sum of positive squares in 2 ways, for example, as 25887744 + 100280196 = 5088^2 + 10014^2 .

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

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

It is a junction number, because it is equal to n+sod(n) for n = 126167895 and 126167904.

It is not an unprimeable number, because it can be changed into a prime (126167941) 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, 350287 + ... + 350646.

Almost surely, 2126167940 is an apocalyptic number.

126167940 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

126167940 is an abundant number, since it is smaller than the sum of its proper divisors (256542024).

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

126167940 is a wasteful number, since it uses less digits than its factorization.

126167940 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 700948 (or 700943 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The square root of 126167940 is about 11232.4503114859. The cubic root of 126167940 is about 501.5524282777.

The spelling of 126167940 in words is "one hundred twenty-six million, one hundred sixty-seven thousand, nine hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 700933 1401866 2102799 2803732 3504665 4205598 6308397 7009330 8411196 10513995 12616794 14018660 21027990 25233588 31541985 42055980 63083970 126167940