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1004241040 = 245117116073
BaseRepresentation
bin111011110110111…
…000000010010000
32120222122201201121
4323312320002100
54024041203130
6243352212024
733612623305
oct7366700220
92528581647
101004241040
11475960180
1224039a014
1313009368a
14975330ac
155d26cd7a
hex3bdb8090

1004241040 has 80 divisors (see below), whose sum is σ = 2583156096. Its totient is φ = 360012800.

The previous prime is 1004241037. The next prime is 1004241047. The reversal of 1004241040 is 401424001.

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

It is a Harshad number since it is a multiple of its sum of digits (16).

It is not an unprimeable number, because it can be changed into a prime (1004241047) 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, 54444 + ... + 70516.

Almost surely, 21004241040 is an apocalyptic number.

1004241040 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 1004241040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1291578048).

1004241040 is an abundant number, since it is smaller than the sum of its proper divisors (1578915056).

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

1004241040 is a wasteful number, since it uses less digits than its factorization.

1004241040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16168 (or 16162 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 16.

The square root of 1004241040 is about 31689.7623847198. The cubic root of 1004241040 is about 1001.4116862043.

Adding to 1004241040 its reverse (401424001), we get a palindrome (1405665041).

The spelling of 1004241040 in words is "one billion, four million, two hundred forty-one thousand, forty".

Divisors: 1 2 4 5 8 10 11 16 20 22 40 44 55 71 80 88 110 142 176 220 284 355 440 568 710 781 880 1136 1420 1562 2840 3124 3905 5680 6248 7810 12496 15620 16073 31240 32146 62480 64292 80365 128584 160730 176803 257168 321460 353606 642920 707212 884015 1141183 1285840 1414424 1768030 2282366 2828848 3536060 4564732 5705915 7072120 9129464 11411830 12553013 14144240 18258928 22823660 25106026 45647320 50212052 62765065 91294640 100424104 125530130 200848208 251060260 502120520 1004241040