Search a number
-
+
1001055540 = 223517257731
BaseRepresentation
bin111011101010101…
…110010100110100
32120202122220001010
4323222232110310
54022232234130
6243200032220
733543555162
oct7352562464
92522586033
101001055540
11474084931
1223b302670
1312c519774
1496d44232
155cd3e0b0
hex3baae534

1001055540 has 72 divisors (see below), whose sum is σ = 2977585632. Its totient is φ = 251240960.

The previous prime is 1001055533. The next prime is 1001055551. The reversal of 1001055540 is 455501001.

It is a super-2 number, since 2×10010555402 = 2004224388329383200, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 11526 + ... + 46205.

It is an arithmetic number, because the mean of its divisors is an integer number (41355356).

Almost surely, 21001055540 is an apocalyptic number.

1001055540 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1001055540 is an abundant number, since it is smaller than the sum of its proper divisors (1976530092).

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

1001055540 is a wasteful number, since it uses less digits than its factorization.

1001055540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 57777 (or 57758 counting only the distinct ones).

The product of its (nonzero) digits is 500, while the sum is 21.

The square root of 1001055540 is about 31639.4617526911. The cubic root of 1001055540 is about 1000.3517229431.

Adding to 1001055540 its reverse (455501001), we get a palindrome (1456556541).

The spelling of 1001055540 in words is "one billion, one million, fifty-five thousand, five hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 17 20 30 34 51 60 68 85 102 170 204 255 289 340 510 578 867 1020 1156 1445 1734 2890 3468 4335 5780 8670 17340 57731 115462 173193 230924 288655 346386 577310 692772 865965 981427 1154620 1731930 1962854 2944281 3463860 3925708 4907135 5888562 9814270 11777124 14721405 16684259 19628540 29442810 33368518 50052777 58885620 66737036 83421295 100105554 166842590 200211108 250263885 333685180 500527770 1001055540