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1261076940 = 223257005983
BaseRepresentation
bin100101100101010…
…1000000111001100
310020212221100100100
41023022220013030
510040313430230
6325045131100
743151656104
oct11312500714
93225840310
101261076940
11597932852
122b23b9a90
1317135a696
14bd6ac204
1575aa2660
hex4b2a81cc

1261076940 has 36 divisors (see below), whose sum is σ = 3825267264. Its totient is φ = 336287136.

The previous prime is 1261076933. The next prime is 1261076969. The reversal of 1261076940 is 496701621.

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 = 1261076895 and 1261076904.

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 11 ways as a sum of consecutive naturals, for example, 3502812 + ... + 3503171.

It is an arithmetic number, because the mean of its divisors is an integer number (106257424).

Almost surely, 21261076940 is an apocalyptic number.

1261076940 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1261076940 is an abundant number, since it is smaller than the sum of its proper divisors (2564190324).

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

1261076940 is a wasteful number, since it uses less digits than its factorization.

1261076940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7005998 (or 7005993 counting only the distinct ones).

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

The square root of 1261076940 is about 35511.6451322661. The cubic root of 1261076940 is about 1080.3899312159.

The spelling of 1261076940 in words is "one billion, two hundred sixty-one million, seventy-six thousand, nine hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 7005983 14011966 21017949 28023932 35029915 42035898 63053847 70059830 84071796 105089745 126107694 140119660 210179490 252215388 315269235 420358980 630538470 1261076940