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1011104240 = 245175912601
BaseRepresentation
bin111100010001000…
…011100111110000
32121110120102021012
4330101003213300
54032320313430
6244155250052
734025146526
oct7421034760
92543512235
101011104240
11479818643
12242749928
13131627543
14983dc316
155db76695
hex3c4439f0

1011104240 has 80 divisors (see below), whose sum is σ = 2531489760. Its totient is φ = 374169600.

The previous prime is 1011104231. The next prime is 1011104249. The reversal of 1011104240 is 424011101.

It is an interprime number because it is at equal distance from previous prime (1011104231) and next prime (1011104249).

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1011104249) 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, 73940 + ... + 86540.

It is an arithmetic number, because the mean of its divisors is an integer number (31643622).

Almost surely, 21011104240 is an apocalyptic number.

1011104240 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 1011104240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1265744880).

1011104240 is an abundant number, since it is smaller than the sum of its proper divisors (1520385520).

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

1011104240 is a wasteful number, since it uses less digits than its factorization.

1011104240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12690 (or 12684 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

The square root of 1011104240 is about 31797.8653371575. The cubic root of 1011104240 is about 1003.6877967705.

Adding to 1011104240 its reverse (424011101), we get a palindrome (1435115341).

The spelling of 1011104240 in words is "one billion, eleven million, one hundred four thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 17 20 34 40 59 68 80 85 118 136 170 236 272 295 340 472 590 680 944 1003 1180 1360 2006 2360 4012 4720 5015 8024 10030 12601 16048 20060 25202 40120 50404 63005 80240 100808 126010 201616 214217 252020 428434 504040 743459 856868 1008080 1071085 1486918 1713736 2142170 2973836 3427472 3717295 4284340 5947672 7434590 8568680 11895344 12638803 14869180 17137360 25277606 29738360 50555212 59476720 63194015 101110424 126388030 202220848 252776060 505552120 1011104240