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1240052080 = 245173167439
BaseRepresentation
bin100100111101001…
…1011000101110000
310012102101011122211
41021322123011300
510014423131310
6323014341504
742505161121
oct11172330560
93172334584
101240052080
11586a82533
122a735a894
13169ba8937
14ba998048
1573cecc8a
hex49e9b170

1240052080 has 160 divisors (see below), whose sum is σ = 3205509120. Its totient is φ = 444026880.

The previous prime is 1240052069. The next prime is 1240052087. The reversal of 1240052080 is 802500421.

It is a super-2 number, since 2×12400520802 = 3075458322224652800, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1240052087) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2824501 + ... + 2824939.

It is an arithmetic number, because the mean of its divisors is an integer number (20034432).

Almost surely, 21240052080 is an apocalyptic number.

1240052080 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 1240052080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1602754560).

1240052080 is an abundant number, since it is smaller than the sum of its proper divisors (1965457040).

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

1240052080 is a wasteful number, since it uses less digits than its factorization.

1240052080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 567 (or 561 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 22.

The square root of 1240052080 is about 35214.3732018618. The cubic root of 1240052080 is about 1074.3521114974.

The spelling of 1240052080 in words is "one billion, two hundred forty million, fifty-two thousand, eighty".

Divisors: 1 2 4 5 8 10 16 17 20 31 34 40 62 67 68 80 85 124 134 136 155 170 248 268 272 310 335 340 439 496 527 536 620 670 680 878 1054 1072 1139 1240 1340 1360 1756 2077 2108 2195 2278 2480 2635 2680 3512 4154 4216 4390 4556 5270 5360 5695 7024 7463 8308 8432 8780 9112 10385 10540 11390 13609 14926 16616 17560 18224 20770 21080 22780 27218 29413 29852 33232 35120 35309 37315 41540 42160 45560 54436 58826 59704 68045 70618 74630 83080 91120 108872 117652 119408 136090 141236 147065 149260 166160 176545 217744 231353 235304 272180 282472 294130 298520 353090 462706 470608 500021 544360 564944 588260 597040 706180 911803 925412 1000042 1088720 1156765 1176520 1412360 1823606 1850824 2000084 2313530 2353040 2500105 2824720 3647212 3701648 4000168 4559015 4627060 5000210 7294424 8000336 9118030 9254120 10000420 14588848 15500651 18236060 18508240 20000840 31001302 36472120 40001680 62002604 72944240 77503255 124005208 155006510 248010416 310013020 620026040 1240052080