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1016836080 = 243513417949
BaseRepresentation
bin111100100110111…
…010111111110000
32121212100121212120
4330212322333300
54040302223310
6244522154240
734124651451
oct7446727760
92555317776
101016836080
11481a82aa7
12244652980
13132883470
1499091128
155e409b70
hex3c9baff0

1016836080 has 160 divisors (see below), whose sum is σ = 3477902400. Its totient is φ = 244162560.

The previous prime is 1016836043. The next prime is 1016836103. The reversal of 1016836080 is 806386101.

It is a super-2 number, since 2×10168360802 = 2067911227179532800, 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 (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 123946 + ... + 131894.

It is an arithmetic number, because the mean of its divisors is an integer number (21736890).

Almost surely, 21016836080 is an apocalyptic number.

1016836080 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 1016836080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1738951200).

1016836080 is an abundant number, since it is smaller than the sum of its proper divisors (2461066320).

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

1016836080 is a wasteful number, since it uses less digits than its factorization.

1016836080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8019 (or 8013 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 33.

The square root of 1016836080 is about 31887.8672852231. The cubic root of 1016836080 is about 1005.5808231404.

The spelling of 1016836080 in words is "one billion, sixteen million, eight hundred thirty-six thousand, eighty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 16 20 24 26 30 39 40 41 48 52 60 65 78 80 82 104 120 123 130 156 164 195 205 208 240 246 260 312 328 390 410 492 520 533 615 624 656 780 820 984 1040 1066 1230 1560 1599 1640 1968 2132 2460 2665 3120 3198 3280 4264 4920 5330 6396 7949 7995 8528 9840 10660 12792 15898 15990 21320 23847 25584 31796 31980 39745 42640 47694 63592 63960 79490 95388 103337 119235 127184 127920 158980 190776 206674 238470 310011 317960 325909 381552 413348 476940 516685 620022 635920 651818 826696 953880 977727 1033370 1240044 1303636 1550055 1629545 1653392 1907760 1955454 2066740 2480088 2607272 3100110 3259090 3910908 4133480 4236817 4888635 4960176 5214544 6200220 6518180 7821816 8266960 8473634 9777270 12400440 12710451 13036360 15643632 16947268 19554540 21184085 24800880 25420902 26072720 33894536 39109080 42368170 50841804 63552255 67789072 78218160 84736340 101683608 127104510 169472680 203367216 254209020 338945360 508418040 1016836080