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131496420 = 223511316427
BaseRepresentation
bin1111101011001…
…11100111100100
3100011102201011210
413311213213210
5232130341140
621014231420
73154462326
oct765474744
9304381153
10131496420
1168254230
1238055570
1321320943
141366d616
15b826d80
hex7d679e4

131496420 has 96 divisors (see below), whose sum is σ = 414683136. Its totient is φ = 30844800.

The previous prime is 131496373. The next prime is 131496437. The reversal of 131496420 is 24694131.

It is a Harshad number since it is a multiple of its sum of digits (30).

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 31 ways as a sum of consecutive naturals, for example, 17247 + ... + 23673.

It is an arithmetic number, because the mean of its divisors is an integer number (4319616).

Almost surely, 2131496420 is an apocalyptic number.

131496420 is a gapful number since it is divisible by the number (10) 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 131496420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (207341568).

131496420 is an abundant number, since it is smaller than the sum of its proper divisors (283186716).

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

131496420 is a wasteful number, since it uses less digits than its factorization.

131496420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6481 (or 6479 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 30.

The square root of 131496420 is about 11467.1888446995. The cubic root of 131496420 is about 508.5160245132.

The spelling of 131496420 in words is "one hundred thirty-one million, four hundred ninety-six thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 30 31 33 44 55 60 62 66 93 110 124 132 155 165 186 220 310 330 341 372 465 620 660 682 930 1023 1364 1705 1860 2046 3410 4092 5115 6427 6820 10230 12854 19281 20460 25708 32135 38562 64270 70697 77124 96405 128540 141394 192810 199237 212091 282788 353485 385620 398474 424182 597711 706970 796948 848364 996185 1060455 1195422 1413940 1992370 2120910 2191607 2390844 2988555 3984740 4241820 4383214 5977110 6574821 8766428 10958035 11954220 13149642 21916070 26299284 32874105 43832140 65748210 131496420