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1001140532 = 227536710069
BaseRepresentation
bin111011101011000…
…011000100110100
32120202211012121222
4323223003010310
54022242444112
6243201525512
733544361030
oct7353030464
92522735558
101001140532
11474132777
1223b343898
1312c549362
1496d671c0
155cd59372
hex3bac3134

1001140532 has 48 divisors (see below), whose sum is σ = 2070714240. Its totient is φ = 414640512.

The previous prime is 1001140519. The next prime is 1001140537. The reversal of 1001140532 is 2350411001.

1001140532 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 1001140532.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1001140537) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 94394 + ... + 104462.

It is an arithmetic number, because the mean of its divisors is an integer number (43139880).

Almost surely, 21001140532 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1001140532, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1035357120).

1001140532 is an abundant number, since it is smaller than the sum of its proper divisors (1069573708).

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

1001140532 is a wasteful number, since it uses less digits than its factorization.

1001140532 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10200 (or 10198 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 17.

The square root of 1001140532 is about 31640.8048570197. The cubic root of 1001140532 is about 1000.3800328900.

Adding to 1001140532 its reverse (2350411001), we get a palindrome (3351551533).

The spelling of 1001140532 in words is "one billion, one million, one hundred forty thousand, five hundred thirty-two".

Divisors: 1 2 4 7 14 28 53 67 106 134 212 268 371 469 742 938 1484 1876 3551 7102 10069 14204 20138 24857 40276 49714 70483 99428 140966 281932 533657 674623 1067314 1349246 2134628 2698492 3735599 4722361 7471198 9444722 14942396 18889444 35755019 71510038 143020076 250285133 500570266 1001140532