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1070789440 = 26574311117
BaseRepresentation
bin111111110100101…
…111001101000000
32202121212201222011
4333310233031000
54143110230230
6254130422304
735351363050
oct7764571500
92677781864
101070789440
114aa483a56
1225a731994
13140ac4126
14a22d7560
1564015e2a
hex3fd2f340

1070789440 has 112 divisors (see below), whose sum is σ = 2982114432. Its totient is φ = 358557696.

The previous prime is 1070789429. The next prime is 1070789459. The reversal of 1070789440 is 449870701.

It is a tau number, because it is divible by the number of its divisors (112).

It is a super-2 number, since 2×10707894402 = 2293180049631027200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 1070789393 and 1070789402.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 90762 + ... + 101878.

Almost surely, 21070789440 is an apocalyptic number.

1070789440 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 1070789440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1491057216).

1070789440 is an abundant number, since it is smaller than the sum of its proper divisors (1911324992).

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

1070789440 is a wasteful number, since it uses less digits than its factorization.

1070789440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11184 (or 11174 counting only the distinct ones).

The product of its (nonzero) digits is 56448, while the sum is 40.

The square root of 1070789440 is about 32722.9191851827. The cubic root of 1070789440 is about 1023.0606008781.

The spelling of 1070789440 in words is "one billion, seventy million, seven hundred eighty-nine thousand, four hundred forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 43 56 64 70 80 86 112 140 160 172 215 224 280 301 320 344 430 448 560 602 688 860 1120 1204 1376 1505 1720 2240 2408 2752 3010 3440 4816 6020 6880 9632 11117 12040 13760 19264 22234 24080 44468 48160 55585 77819 88936 96320 111170 155638 177872 222340 311276 355744 389095 444680 478031 622552 711488 778190 889360 956062 1245104 1556380 1778720 1912124 2390155 2490208 3112760 3346217 3557440 3824248 4780310 4980416 6225520 6692434 7648496 9560620 12451040 13384868 15296992 16731085 19121240 24902080 26769736 30593984 33462170 38242480 53539472 66924340 76484960 107078944 133848680 152969920 214157888 267697360 535394720 1070789440