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131450040 = 23345291399
BaseRepresentation
bin1111101010111…
…00010010111000
3100011100100120000
413311130102320
5232122400130
621013233000
73154210161
oct765342270
9304310500
10131450040
11682223a7
1238032760
13213057b7
141365a768
15b818260
hex7d5c4b8

131450040 has 160 divisors (see below), whose sum is σ = 457380000. Its totient is φ = 33820416.

The previous prime is 131450009. The next prime is 131450041. The reversal of 131450040 is 40054131.

It is a happy number.

It is a super-2 number, since 2×1314500402 = 34558226032003200, which contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 131449995 and 131450022.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131450041) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 93261 + ... + 94659.

It is an arithmetic number, because the mean of its divisors is an integer number (2858625).

Almost surely, 2131450040 is an apocalyptic number.

131450040 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 131450040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (228690000).

131450040 is an abundant number, since it is smaller than the sum of its proper divisors (325929960).

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

131450040 is a wasteful number, since it uses less digits than its factorization.

131450040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1451 (or 1438 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 131450040 is about 11465.1663747196. The cubic root of 131450040 is about 508.4562313856.

The spelling of 131450040 in words is "one hundred thirty-one million, four hundred fifty thousand, forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 27 29 30 36 40 45 54 58 60 72 81 87 90 108 116 120 135 145 162 174 180 216 232 261 270 290 324 348 360 405 435 522 540 580 648 696 783 810 870 1044 1080 1160 1305 1399 1566 1620 1740 2088 2349 2610 2798 3132 3240 3480 3915 4197 4698 5220 5596 6264 6995 7830 8394 9396 10440 11192 11745 12591 13990 15660 16788 18792 20985 23490 25182 27980 31320 33576 37773 40571 41970 46980 50364 55960 62955 75546 81142 83940 93960 100728 113319 121713 125910 151092 162284 167880 188865 202855 226638 243426 251820 302184 324568 365139 377730 405710 453276 486852 503640 566595 608565 730278 755460 811420 906552 973704 1095417 1133190 1217130 1460556 1510920 1622840 1825695 2190834 2266380 2434260 2921112 3286251 3651390 4381668 4532760 4868520 5477085 6572502 7302780 8763336 10954170 13145004 14605560 16431255 21908340 26290008 32862510 43816680 65725020 131450040