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131340510 = 232571631279
BaseRepresentation
bin1111101010000…
…01100011011110
3100011010210022100
413311001203132
5232110344020
621011025530
73153242640
oct765014336
9304123270
10131340510
1168158084
1237b9b2a6
13212979a2
141362c890
15b7e5a90
hex7d418de

131340510 has 96 divisors (see below), whose sum is σ = 392970240. Its totient is φ = 29813184.

The previous prime is 131340499. The next prime is 131340523. The reversal of 131340510 is 15043131.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 102051 + ... + 103329.

It is an arithmetic number, because the mean of its divisors is an integer number (4093440).

Almost surely, 2131340510 is an apocalyptic number.

131340510 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 131340510, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (196485120).

131340510 is an abundant number, since it is smaller than the sum of its proper divisors (261629730).

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

131340510 is a wasteful number, since it uses less digits than its factorization.

131340510 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1462 (or 1459 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 18.

The square root of 131340510 is about 11460.3887368623. The cubic root of 131340510 is about 508.3149693865.

Adding to 131340510 its reverse (15043131), we get a palindrome (146383641).

The spelling of 131340510 in words is "one hundred thirty-one million, three hundred forty thousand, five hundred ten".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 30 35 42 45 63 70 90 105 126 163 210 315 326 489 630 815 978 1141 1279 1467 1630 2282 2445 2558 2934 3423 3837 4890 5705 6395 6846 7335 7674 8953 10269 11410 11511 12790 14670 17115 17906 19185 20538 23022 26859 34230 38370 44765 51345 53718 57555 80577 89530 102690 115110 134295 161154 208477 268590 402885 416954 625431 805770 1042385 1250862 1459339 1876293 2084770 2918678 3127155 3752586 4378017 6254310 7296695 8756034 9381465 13134051 14593390 18762930 21890085 26268102 43780170 65670255 131340510