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131035840 = 2651322423
BaseRepresentation
bin1111100111101…
…11001011000000
3100010120022101021
413303313023000
5232021121330
621000315224
73150533455
oct763671300
9303508337
10131035840
1167a6a191
1237a72b14
13211bc100
141358d82c
15b78567a
hex7cf72c0

131035840 has 84 divisors (see below), whose sum is σ = 338017104. Its totient is φ = 48362496.

The previous prime is 131035831. The next prime is 131035841. The reversal of 131035840 is 48530131.

It is not an unprimeable number, because it can be changed into a prime (131035841) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 52869 + ... + 55291.

Almost surely, 2131035840 is an apocalyptic number.

131035840 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 131035840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169008552).

131035840 is an abundant number, since it is smaller than the sum of its proper divisors (206981264).

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

131035840 is a wasteful number, since it uses less digits than its factorization.

131035840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2466 (or 2443 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 25.

The square root of 131035840 is about 11447.0887128562. The cubic root of 131035840 is about 507.9216197505.

Adding to 131035840 its reverse (48530131), we get a palindrome (179565971).

The spelling of 131035840 in words is "one hundred thirty-one million, thirty-five thousand, eight hundred forty".

Divisors: 1 2 4 5 8 10 13 16 20 26 32 40 52 64 65 80 104 130 160 169 208 260 320 338 416 520 676 832 845 1040 1352 1690 2080 2423 2704 3380 4160 4846 5408 6760 9692 10816 12115 13520 19384 24230 27040 31499 38768 48460 54080 62998 77536 96920 125996 155072 157495 193840 251992 314990 387680 409487 503984 629980 775360 818974 1007968 1259960 1637948 2015936 2047435 2519920 3275896 4094870 5039840 6551792 8189740 10079680 13103584 16379480 26207168 32758960 65517920 131035840