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131223760 = 2455330949
BaseRepresentation
bin1111101001001…
…01000011010000
3100010220212011021
413310211003100
5232043130020
621004325224
73152245363
oct764450320
9303825137
10131223760
1168088398
1237b43814
13212567c5
14135dc0da
15b7c11aa
hex7d250d0

131223760 has 40 divisors (see below), whose sum is σ = 310861800. Its totient is φ = 51497472.

The previous prime is 131223737. The next prime is 131223761. The reversal of 131223760 is 67322131.

It can be written as a sum of positive squares in 4 ways, for example, as 57881664 + 73342096 = 7608^2 + 8564^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131223761) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 11235 + ... + 19714.

It is an arithmetic number, because the mean of its divisors is an integer number (7771545).

Almost surely, 2131223760 is an apocalyptic number.

131223760 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

131223760 is an abundant number, since it is smaller than the sum of its proper divisors (179638040).

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

131223760 is a wasteful number, since it uses less digits than its factorization.

131223760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31015 (or 31009 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 25.

The square root of 131223760 is about 11455.2939726574. The cubic root of 131223760 is about 508.1643091783.

Adding to 131223760 its reverse (67322131), we get a palindrome (198545891).

The spelling of 131223760 in words is "one hundred thirty-one million, two hundred twenty-three thousand, seven hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 40 53 80 106 212 265 424 530 848 1060 2120 4240 30949 61898 123796 154745 247592 309490 495184 618980 1237960 1640297 2475920 3280594 6561188 8201485 13122376 16402970 26244752 32805940 65611880 131223760