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1039741040 = 245137114081
BaseRepresentation
bin111101111110010…
…011000001110000
32200110110022120102
4331332103001300
54112133203130
6251101131532
734523436662
oct7576230160
92613408512
101039741040
114939a7918
12250259ba8
13137542bb0
149c134532
1561431645
hex3df93070

1039741040 has 80 divisors (see below), whose sum is σ = 2640206016. Its totient is φ = 378470400.

The previous prime is 1039741037. The next prime is 1039741051. The reversal of 1039741040 is 401479301.

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

It is a super-2 number, since 2×10397410402 = 2162122860520563200, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1039740994 and 1039741012.

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, 66800 + ... + 80880.

Almost surely, 21039741040 is an apocalyptic number.

1039741040 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 1039741040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1320103008).

1039741040 is an abundant number, since it is smaller than the sum of its proper divisors (1600464976).

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

1039741040 is a wasteful number, since it uses less digits than its factorization.

1039741040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14178 (or 14172 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 29.

The square root of 1039741040 is about 32245.0157388704. The cubic root of 1039741040 is about 1013.0753046090.

The spelling of 1039741040 in words is "one billion, thirty-nine million, seven hundred forty-one thousand, forty".

Divisors: 1 2 4 5 8 10 13 16 20 26 40 52 65 71 80 104 130 142 208 260 284 355 520 568 710 923 1040 1136 1420 1846 2840 3692 4615 5680 7384 9230 14081 14768 18460 28162 36920 56324 70405 73840 112648 140810 183053 225296 281620 366106 563240 732212 915265 999751 1126480 1464424 1830530 1999502 2928848 3661060 3999004 4998755 7322120 7998008 9997510 12996763 14644240 15996016 19995020 25993526 39990040 51987052 64983815 79980080 103974104 129967630 207948208 259935260 519870520 1039741040