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1073389440 = 27351912927
BaseRepresentation
bin111111111110101…
…001111110000000
32202210202211111110
4333332221332000
54144241430230
6254302243320
735412442164
oct7776517600
92683684443
101073389440
1150099a412
1225b586540
131414c46a6
14a27b2ca4
156437b4b0
hex3ffa9f80

1073389440 has 128 divisors (see below), whose sum is σ = 3440517120. Its totient is φ = 284641280.

The previous prime is 1073389423. The next prime is 1073389451. The reversal of 1073389440 is 449833701.

It is a tau number, because it is divible by the number of its divisors (128).

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 15 ways as a sum of consecutive naturals, for example, 365257 + ... + 368183.

It is an arithmetic number, because the mean of its divisors is an integer number (26879040).

Almost surely, 21073389440 is an apocalyptic number.

1073389440 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 1073389440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1720258560).

1073389440 is an abundant number, since it is smaller than the sum of its proper divisors (2367127680).

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

1073389440 is a wasteful number, since it uses less digits than its factorization.

1073389440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3140 (or 3128 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 39.

The square root of 1073389440 is about 32762.6226056462. The cubic root of 1073389440 is about 1023.8879678867.

The spelling of 1073389440 in words is "one billion, seventy-three million, three hundred eighty-nine thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 128 160 191 192 240 320 382 384 480 573 640 764 955 960 1146 1528 1910 1920 2292 2865 2927 3056 3820 4584 5730 5854 6112 7640 8781 9168 11460 11708 12224 14635 15280 17562 18336 22920 23416 24448 29270 30560 35124 36672 43905 45840 46832 58540 61120 70248 73344 87810 91680 93664 117080 122240 140496 175620 183360 187328 234160 280992 351240 366720 374656 468320 559057 561984 702480 936640 1118114 1123968 1404960 1677171 1873280 2236228 2795285 2809920 3354342 4472456 5590570 5619840 6708684 8385855 8944912 11181140 13417368 16771710 17889824 22362280 26834736 33543420 35779648 44724560 53669472 67086840 71559296 89449120 107338944 134173680 178898240 214677888 268347360 357796480 536694720 1073389440