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131052240 = 243251116547
BaseRepresentation
bin1111100111110…
…11001011010000
3100010121010212200
413303323023100
5232022132430
621000523200
73150632334
oct763731320
9303533780
10131052240
1167a80540
1237a80500
13211c6707
14135957c4
15b78a460
hex7cfb2d0

131052240 has 120 divisors (see below), whose sum is σ = 480156768. Its totient is φ = 31768320.

The previous prime is 131052239. The next prime is 131052281. The reversal of 131052240 is 42250131.

It is a tau number, because it is divible by the number of its divisors (120).

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 23 ways as a sum of consecutive naturals, for example, 354 + ... + 16193.

Almost surely, 2131052240 is an apocalyptic number.

131052240 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 131052240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (240078384).

131052240 is an abundant number, since it is smaller than the sum of its proper divisors (349104528).

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

131052240 is a wasteful number, since it uses less digits than its factorization.

131052240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16577 (or 16568 counting only the distinct ones).

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

The square root of 131052240 is about 11447.8050297863. The cubic root of 131052240 is about 507.9428087806.

The spelling of 131052240 in words is "one hundred thirty-one million, fifty-two thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 11 12 15 16 18 20 22 24 30 33 36 40 44 45 48 55 60 66 72 80 88 90 99 110 120 132 144 165 176 180 198 220 240 264 330 360 396 440 495 528 660 720 792 880 990 1320 1584 1980 2640 3960 7920 16547 33094 49641 66188 82735 99282 132376 148923 165470 182017 198564 248205 264752 297846 330940 364034 397128 496410 546051 595692 661880 728068 744615 794256 910085 992820 1092102 1191384 1323760 1456136 1489230 1638153 1820170 1985640 2184204 2382768 2730255 2912272 2978460 3276306 3640340 3971280 4368408 5460510 5956920 6552612 7280680 8190765 8736816 10921020 11913840 13105224 14561360 16381530 21842040 26210448 32763060 43684080 65526120 131052240