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131479964 = 227111572719
BaseRepresentation
bin1111101011000…
…11100110011100
3100011101212121022
413311203212130
5232124324324
621014023312
73154363340
oct765434634
9304355538
10131479964
1168242930
1238047b38
13213162c5
1413667620
15b82205e
hex7d6399c

131479964 has 48 divisors (see below), whose sum is σ = 288798720. Its totient is φ = 50880960.

The previous prime is 131479963. The next prime is 131479979. The reversal of 131479964 is 469974131.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131479963) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 46997 + ... + 49715.

It is an arithmetic number, because the mean of its divisors is an integer number (6016640).

Almost surely, 2131479964 is an apocalyptic number.

131479964 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 131479964, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144399360).

131479964 is an abundant number, since it is smaller than the sum of its proper divisors (157318756).

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

131479964 is a wasteful number, since it uses less digits than its factorization.

131479964 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2898 (or 2896 counting only the distinct ones).

The product of its digits is 163296, while the sum is 44.

The square root of 131479964 is about 11466.4712967852. The cubic root of 131479964 is about 508.4948110363.

The spelling of 131479964 in words is "one hundred thirty-one million, four hundred seventy-nine thousand, nine hundred sixty-four".

Divisors: 1 2 4 7 11 14 22 28 44 77 154 157 308 314 628 1099 1727 2198 2719 3454 4396 5438 6908 10876 12089 19033 24178 29909 38066 48356 59818 76132 119636 209363 418726 426883 837452 853766 1707532 2988181 4695713 5976362 9391426 11952724 18782852 32869991 65739982 131479964