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1069190640 = 243257212141
BaseRepresentation
bin111111101110101…
…000110111110000
32202111212111211100
4333232220313300
54142203100030
6254032244400
735331653610
oct7756506760
92674774740
101069190640
114a9591831
1225a0a0700
131406844ab
14a1ddca40
1563cec360
hex3fba8df0

1069190640 has 120 divisors (see below), whose sum is σ = 4103674848. Its totient is φ = 244385280.

The previous prime is 1069190611. The next prime is 1069190723. The reversal of 1069190640 is 460919601.

1069190640 is a `hidden beast` number, since 1 + 0 + 6 + 9 + 1 + 9 + 0 + 640 = 666.

It is a tau number, because it is divible by the number of its divisors (120).

It is a super-2 number, since 2×10691906402 = 2286337249327219200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 1069190595 and 1069190604.

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 23 ways as a sum of consecutive naturals, for example, 101031 + ... + 111110.

Almost surely, 21069190640 is an apocalyptic number.

1069190640 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1069190640 is an abundant number, since it is smaller than the sum of its proper divisors (3034484208).

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

1069190640 is a wasteful number, since it uses less digits than its factorization.

1069190640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 212167 (or 212158 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 36.

The square root of 1069190640 is about 32698.4806986502. The cubic root of 1069190640 is about 1022.5511686224.

The spelling of 1069190640 in words is "one billion, sixty-nine million, one hundred ninety thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 7 8 9 10 12 14 15 16 18 20 21 24 28 30 35 36 40 42 45 48 56 60 63 70 72 80 84 90 105 112 120 126 140 144 168 180 210 240 252 280 315 336 360 420 504 560 630 720 840 1008 1260 1680 2520 5040 212141 424282 636423 848564 1060705 1272846 1484987 1697128 1909269 2121410 2545692 2969974 3182115 3394256 3818538 4242820 4454961 5091384 5939948 6364230 7424935 7637076 8485640 8909922 9546345 10182768 11879896 12728460 13364883 14849870 15274152 16971280 17819844 19092690 22274805 23759792 25456920 26729766 29699740 30548304 35639688 38185380 44549610 50913840 53459532 59399480 66824415 71279376 76370760 89099220 106919064 118798960 133648830 152741520 178198440 213838128 267297660 356396880 534595320 1069190640