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1069075040 = 255113716417
BaseRepresentation
bin111111101110001…
…100101001100000
32202111122122020212
4333232030221200
54142140400130
6254025553252
735330662565
oct7756145140
92674578225
101069075040
114a95129a0
1225a045828
131406439a7
14a1dac86c
1563cc7e95
hex3fb8ca60

1069075040 has 96 divisors (see below), whose sum is σ = 2829937824. Its totient is φ = 378224640.

The previous prime is 1069075009. The next prime is 1069075043. The reversal of 1069075040 is 405709601.

It is a happy number.

It is a super-2 number, since 2×10690750402 = 2285842882302003200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a junction number, because it is equal to n+sod(n) for n = 1069074988 and 1069075006.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1069075043) 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, 56912 + ... + 73328.

It is an arithmetic number, because the mean of its divisors is an integer number (29478519).

Almost surely, 21069075040 is an apocalyptic number.

1069075040 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 1069075040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1414968912).

1069075040 is an abundant number, since it is smaller than the sum of its proper divisors (1760862784).

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

1069075040 is a wasteful number, since it uses less digits than its factorization.

1069075040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16480 (or 16472 counting only the distinct ones).

The product of its (nonzero) digits is 7560, while the sum is 32.

The square root of 1069075040 is about 32696.7129846411. The cubic root of 1069075040 is about 1022.5143148344.

The spelling of 1069075040 in words is "one billion, sixty-nine million, seventy-five thousand, forty".

Divisors: 1 2 4 5 8 10 11 16 20 22 32 37 40 44 55 74 80 88 110 148 160 176 185 220 296 352 370 407 440 592 740 814 880 1184 1480 1628 1760 2035 2960 3256 4070 5920 6512 8140 13024 16280 16417 32560 32834 65120 65668 82085 131336 164170 180587 262672 328340 361174 525344 607429 656680 722348 902935 1214858 1313360 1444696 1805870 2429716 2626720 2889392 3037145 3611740 4859432 5778784 6074290 6681719 7223480 9718864 12148580 13363438 14446960 19437728 24297160 26726876 28893920 33408595 48594320 53453752 66817190 97188640 106907504 133634380 213815008 267268760 534537520 1069075040