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131208720 = 24351732159
BaseRepresentation
bin1111101001000…
…01011000010000
3100010220002112020
413310201120100
5232042134340
621004131440
73152153466
oct764413020
9303802466
10131208720
1168078065
1237b36b80
132124c9c6
14135d6836
15b7bb9d0
hex7d21610

131208720 has 80 divisors (see below), whose sum is σ = 430686720. Its totient is φ = 32929792.

The previous prime is 131208689. The next prime is 131208751. The reversal of 131208720 is 27802131.

It is an interprime number because it is at equal distance from previous prime (131208689) and next prime (131208751).

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12000 + ... + 20159.

It is an arithmetic number, because the mean of its divisors is an integer number (5383584).

Almost surely, 2131208720 is an apocalyptic number.

131208720 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

131208720 is an abundant number, since it is smaller than the sum of its proper divisors (299478000).

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

131208720 is a wasteful number, since it uses less digits than its factorization.

131208720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32192 (or 32186 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 24.

The square root of 131208720 is about 11454.6374888078. The cubic root of 131208720 is about 508.1448942918.

The spelling of 131208720 in words is "one hundred thirty-one million, two hundred eight thousand, seven hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 17 20 24 30 34 40 48 51 60 68 80 85 102 120 136 170 204 240 255 272 340 408 510 680 816 1020 1360 2040 4080 32159 64318 96477 128636 160795 192954 257272 321590 385908 482385 514544 546703 643180 771816 964770 1093406 1286360 1543632 1640109 1929540 2186812 2572720 2733515 3280218 3859080 4373624 5467030 6560436 7718160 8200545 8747248 10934060 13120872 16401090 21868120 26241744 32802180 43736240 65604360 131208720