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1010155540 = 2254110112197
BaseRepresentation
bin111100001101011…
…100000000010100
32121101210012220011
4330031130000110
54032044434130
6244123050004
734014115612
oct7415340024
92541705804
101010155540
1147922a899
12242370904
13131384794
14982326b2
155da3a52a
hex3c35c014

1010155540 has 48 divisors (see below), whose sum is σ = 2194761744. Its totient is φ = 390272000.

The previous prime is 1010155511. The next prime is 1010155591. The reversal of 1010155540 is 455510101.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 2347024 + 1007808516 = 1532^2 + 31746^2 .

It is a congruent number.

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, 76722 + ... + 88918.

It is an arithmetic number, because the mean of its divisors is an integer number (45724203).

Almost surely, 21010155540 is an apocalyptic number.

1010155540 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 1010155540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1097380872).

1010155540 is an abundant number, since it is smaller than the sum of its proper divisors (1184606204).

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

1010155540 is a wasteful number, since it uses less digits than its factorization.

1010155540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12348 (or 12346 counting only the distinct ones).

The product of its (nonzero) digits is 500, while the sum is 22.

The square root of 1010155540 is about 31782.9441682170. The cubic root of 1010155540 is about 1003.3737847757.

Adding to 1010155540 its reverse (455510101), we get a palindrome (1465665641).

The spelling of 1010155540 in words is "one billion, ten million, one hundred fifty-five thousand, five hundred forty".

Divisors: 1 2 4 5 10 20 41 82 101 164 202 205 404 410 505 820 1010 2020 4141 8282 12197 16564 20705 24394 41410 48788 60985 82820 121970 243940 500077 1000154 1231897 2000308 2463794 2500385 4927588 5000770 6159485 10001540 12318970 24637940 50507777 101015554 202031108 252538885 505077770 1010155540