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131050440 = 23335121343
BaseRepresentation
bin1111100111110…
…10101111001000
3100010121001102000
413303322233020
5232022103230
621000511000
73150624153
oct763725710
9303531360
10131050440
1167a7a154
1237a7b460
13211c5951
1413594c9a
15b789b60
hex7cfabc8

131050440 has 64 divisors (see below), whose sum is σ = 436838400. Its totient is φ = 34946496.

The previous prime is 131050427. The next prime is 131050457. The reversal of 131050440 is 44050131.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (18).

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 15 ways as a sum of consecutive naturals, for example, 59592 + ... + 61751.

It is an arithmetic number, because the mean of its divisors is an integer number (6825600).

Almost surely, 2131050440 is an apocalyptic number.

131050440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

131050440 is an abundant number, since it is smaller than the sum of its proper divisors (305787960).

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

131050440 is a wasteful number, since it uses less digits than its factorization.

131050440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 121363 (or 121353 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 131050440 is about 11447.7264118252. The cubic root of 131050440 is about 507.9404832417.

The spelling of 131050440 in words is "one hundred thirty-one million, fifty thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 27 30 36 40 45 54 60 72 90 108 120 135 180 216 270 360 540 1080 121343 242686 364029 485372 606715 728058 970744 1092087 1213430 1456116 1820145 2184174 2426860 2912232 3276261 3640290 4368348 4853720 5460435 6552522 7280580 8736696 10920870 13105044 14561160 16381305 21841740 26210088 32762610 43683480 65525220 131050440