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1069229040 = 243511405011
BaseRepresentation
bin111111101110110…
…010001111110000
32202111221110111120
4333232302033300
54142210312130
6254033142240
735332203555
oct7756621760
92674843446
101069229040
114a9608670
1225a0ba980
13140698b09
14a200ca2c
1563d08910
hex3fbb23f0

1069229040 has 80 divisors (see below), whose sum is σ = 3615947136. Its totient is φ = 259206400.

The previous prime is 1069229039. The next prime is 1069229041. The reversal of 1069229040 is 409229601.

It is an interprime number because it is at equal distance from previous prime (1069229039) and next prime (1069229041).

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

It is a super-2 number, since 2×10692290402 = 2286501479958643200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a junction number, because it is equal to n+sod(n) for n = 1069228992 and 1069229010.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1069229041) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 199866 + ... + 205145.

Almost surely, 21069229040 is an apocalyptic number.

1069229040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1069229040 is an abundant number, since it is smaller than the sum of its proper divisors (2546718096).

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

1069229040 is a wasteful number, since it uses less digits than its factorization.

1069229040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 405038 (or 405032 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 33.

The square root of 1069229040 is about 32699.0678766230. The cubic root of 1069229040 is about 1022.5634101233.

The spelling of 1069229040 in words is "one billion, sixty-nine million, two hundred twenty-nine thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 16 20 22 24 30 33 40 44 48 55 60 66 80 88 110 120 132 165 176 220 240 264 330 440 528 660 880 1320 2640 405011 810022 1215033 1620044 2025055 2430066 3240088 4050110 4455121 4860132 6075165 6480176 8100220 8910242 9720264 12150330 13365363 16200440 17820484 19440528 22275605 24300660 26730726 32400880 35640968 44551210 48601320 53461452 66826815 71281936 89102420 97202640 106922904 133653630 178204840 213845808 267307260 356409680 534614520 1069229040