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1000131240 = 233526930983
BaseRepresentation
bin111011100111001…
…100101010101000
32120200220221010210
4323213030222220
54022013144430
6243124141120
733532655343
oct7347145250
92520827123
101000131240
11473603449
1223ab377a0
1312c284b44
1496b8345a
155cc0a2b0
hex3b9ccaa8

1000131240 has 64 divisors (see below), whose sum is σ = 3011644800. Its totient is φ = 265701632.

The previous prime is 1000131221. The next prime is 1000131257. The reversal of 1000131240 is 421310001.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 16789 + ... + 47771.

It is an arithmetic number, because the mean of its divisors is an integer number (47056950).

Almost surely, 21000131240 is an apocalyptic number.

1000131240 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 1000131240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1505822400).

1000131240 is an abundant number, since it is smaller than the sum of its proper divisors (2011513560).

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

1000131240 is a wasteful number, since it uses less digits than its factorization.

1000131240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31266 (or 31262 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

The square root of 1000131240 is about 31624.8516202053. The cubic root of 1000131240 is about 1000.0437447530.

Adding to 1000131240 its reverse (421310001), we get a palindrome (1421441241).

The spelling of 1000131240 in words is "one billion, one hundred thirty-one thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 269 538 807 1076 1345 1614 2152 2690 3228 4035 5380 6456 8070 10760 16140 30983 32280 61966 92949 123932 154915 185898 247864 309830 371796 464745 619660 743592 929490 1239320 1858980 3717960 8334427 16668854 25003281 33337708 41672135 50006562 66675416 83344270 100013124 125016405 166688540 200026248 250032810 333377080 500065620 1000131240