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131005440 = 2103252843
BaseRepresentation
bin1111100111011…
…11110000000000
3100010111202200100
413303233300000
5232014133230
620555522400
73150346026
oct763576000
9303452610
10131005440
1167a49365
1237a59400
13211ab317
1413582716
15b77b660
hex7cefc00

131005440 has 132 divisors (see below), whose sum is σ = 454090104. Its totient is φ = 34922496.

The previous prime is 131005439. The next prime is 131005471. The reversal of 131005440 is 44500131.

It is a happy number.

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 11 ways as a sum of consecutive naturals, for example, 44659 + ... + 47501.

Almost surely, 2131005440 is an apocalyptic number.

131005440 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 131005440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (227045052).

131005440 is an abundant number, since it is smaller than the sum of its proper divisors (323084664).

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

131005440 is a wasteful number, since it uses less digits than its factorization.

131005440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2874 (or 2853 counting only the distinct ones).

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

The square root of 131005440 is about 11445.7607872959. The cubic root of 131005440 is about 507.8823378474.

Adding to 131005440 its reverse (44500131), we get a palindrome (175505571).

The spelling of 131005440 in words is "one hundred thirty-one million, five thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 64 72 80 90 96 120 128 144 160 180 192 240 256 288 320 360 384 480 512 576 640 720 768 960 1024 1152 1280 1440 1536 1920 2304 2560 2843 2880 3072 3840 4608 5120 5686 5760 7680 8529 9216 11372 11520 14215 15360 17058 22744 23040 25587 28430 34116 42645 45488 46080 51174 56860 68232 85290 90976 102348 113720 127935 136464 170580 181952 204696 227440 255870 272928 341160 363904 409392 454880 511740 545856 682320 727808 818784 909760 1023480 1091712 1364640 1455616 1637568 1819520 2046960 2183424 2729280 2911232 3275136 3639040 4093920 4366848 5458560 6550272 7278080 8187840 8733696 10917120 13100544 14556160 16375680 21834240 26201088 32751360 43668480 65502720 131005440