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131481400 = 23521738671
BaseRepresentation
bin1111101011000…
…11111100111000
3100011101221120111
413311203330320
5232124401100
621014034104
73154400461
oct765437470
9304357514
10131481400
1168243a16
1238048934
1321316b5b
1413667d68
15b8226ba
hex7d63f38

131481400 has 48 divisors (see below), whose sum is σ = 323684640. Its totient is φ = 49497600.

The previous prime is 131481397. The next prime is 131481431. The reversal of 131481400 is 4184131.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 15936 + ... + 22735.

It is an arithmetic number, because the mean of its divisors is an integer number (6743430).

Almost surely, 2131481400 is an apocalyptic number.

131481400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

131481400 is an abundant number, since it is smaller than the sum of its proper divisors (192203240).

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

131481400 is a wasteful number, since it uses less digits than its factorization.

131481400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38704 (or 38695 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 22.

The square root of 131481400 is about 11466.5339139602. The cubic root of 131481400 is about 508.4966622585.

The spelling of 131481400 in words is "one hundred thirty-one million, four hundred eighty-one thousand, four hundred".

Divisors: 1 2 4 5 8 10 17 20 25 34 40 50 68 85 100 136 170 200 340 425 680 850 1700 3400 38671 77342 154684 193355 309368 386710 657407 773420 966775 1314814 1546840 1933550 2629628 3287035 3867100 5259256 6574070 7734200 13148140 16435175 26296280 32870350 65740700 131481400