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1064778240 = 2935197297
BaseRepresentation
bin111111011101110…
…011101000000000
32202012120100011010
4333131303220000
54140040400430
6253353520520
735246315511
oct7735635000
92665510133
101064778240
114a7048719
12258713140
1313c79acc6
14a15b0a08
1563729cb0
hex3f773a00

1064778240 has 160 divisors (see below), whose sum is σ = 3583609920. Its totient is φ = 268959744.

The previous prime is 1064778233. The next prime is 1064778283. The reversal of 1064778240 is 428774601.

It is a tau number, because it is divible by the number of its divisors (160).

It is a super-2 number, since 2×10647782402 = 2267505400754995200, which contains 22 as substring.

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, 142272 + ... + 149568.

It is an arithmetic number, because the mean of its divisors is an integer number (22397562).

Almost surely, 21064778240 is an apocalyptic number.

1064778240 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 1064778240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1791804960).

1064778240 is an abundant number, since it is smaller than the sum of its proper divisors (2518831680).

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

1064778240 is an equidigital number, since it uses as much as digits as its factorization.

1064778240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7342 (or 7326 counting only the distinct ones).

The product of its (nonzero) digits is 75264, while the sum is 39.

The square root of 1064778240 is about 32630.9399190400. The cubic root of 1064778240 is about 1021.1425873575.

The spelling of 1064778240 in words is "one billion, sixty-four million, seven hundred seventy-eight thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 19 20 24 30 32 38 40 48 57 60 64 76 80 95 96 114 120 128 152 160 190 192 228 240 256 285 304 320 380 384 456 480 512 570 608 640 760 768 912 960 1140 1216 1280 1520 1536 1824 1920 2280 2432 2560 3040 3648 3840 4560 4864 6080 7296 7297 7680 9120 9728 12160 14592 14594 18240 21891 24320 29184 29188 36480 36485 43782 48640 58376 72960 72970 87564 109455 116752 138643 145920 145940 175128 218910 233504 277286 291880 350256 415929 437820 467008 554572 583760 693215 700512 831858 875640 934016 1109144 1167520 1386430 1401024 1663716 1751280 1868032 2079645 2218288 2335040 2772860 2802048 3327432 3502560 3736064 4159290 4436576 4670080 5545720 5604096 6654864 7005120 8318580 8873152 9340160 11091440 11208192 13309728 14010240 16637160 17746304 18680320 22182880 26619456 28020480 33274320 35492608 44365760 53238912 56040960 66548640 70985216 88731520 106477824 133097280 177463040 212955648 266194560 354926080 532389120 1064778240