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1069880640 = 26353373307
BaseRepresentation
bin111111110001010…
…001010101000000
32202120011120022220
4333301101111000
54142342140030
6254055131040
735340556353
oct7761212500
92676146286
101069880640
114a9a13184
1225a373a80
1314086658a
14a213c29a
1563dd6a10
hex3fc51540

1069880640 has 112 divisors (see below), whose sum is σ = 3407980992. Its totient is φ = 284368896.

The previous prime is 1069880593. The next prime is 1069880663. The reversal of 1069880640 is 460889601.

It is a super-2 number, since 2×10698806402 = 2289289167693619200, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1069880592 and 1069880601.

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, 321867 + ... + 325173.

Almost surely, 21069880640 is an apocalyptic number.

1069880640 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 1069880640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1703990496).

1069880640 is an abundant number, since it is smaller than the sum of its proper divisors (2338100352).

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

1069880640 is a wasteful number, since it uses less digits than its factorization.

1069880640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3664 (or 3654 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 42.

The square root of 1069880640 is about 32709.0299458727. The cubic root of 1069880640 is about 1022.7710884250.

The spelling of 1069880640 in words is "one billion, sixty-nine million, eight hundred eighty thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 160 192 240 320 337 480 674 960 1011 1348 1685 2022 2696 3307 3370 4044 5055 5392 6614 6740 8088 9921 10110 10784 13228 13480 16176 16535 19842 20220 21568 26456 26960 32352 33070 39684 40440 49605 52912 53920 64704 66140 79368 80880 99210 105824 107840 132280 158736 161760 198420 211648 264560 317472 323520 396840 529120 634944 793680 1058240 1114459 1587360 2228918 3174720 3343377 4457836 5572295 6686754 8915672 11144590 13373508 16716885 17831344 22289180 26747016 33433770 35662688 44578360 53494032 66867540 71325376 89156720 106988064 133735080 178313440 213976128 267470160 356626880 534940320 1069880640