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1070218464 = 25375926993
BaseRepresentation
bin111111110010100…
…011110011100000
32202120210201201220
4333302203303200
54142433442324
6254110255040
735343464310
oct7762436340
92676721656
101070218464
114aa123a77
1225a4b7480
13140954283
14a21c9440
1563e51b79
hex3fca3ce0

1070218464 has 96 divisors (see below), whose sum is σ = 3265194240. Its totient is φ = 300582912.

The previous prime is 1070218463. The next prime is 1070218469. The reversal of 1070218464 is 4648120701.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×10702184642 = 2290735121373038592, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1070218463) by changing a digit.

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, 26152 + ... + 53144.

It is an arithmetic number, because the mean of its divisors is an integer number (34012440).

Almost surely, 21070218464 is an apocalyptic number.

1070218464 is a gapful number since it is divisible by the number (14) 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 1070218464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1632597120).

1070218464 is an abundant number, since it is smaller than the sum of its proper divisors (2194975776).

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

1070218464 is a wasteful number, since it uses less digits than its factorization.

1070218464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27072 (or 27064 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 33.

The square root of 1070218464 is about 32714.1936168385. The cubic root of 1070218464 is about 1022.8787266814.

The spelling of 1070218464 in words is "one billion, seventy million, two hundred eighteen thousand, four hundred sixty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 59 84 96 112 118 168 177 224 236 336 354 413 472 672 708 826 944 1239 1416 1652 1888 2478 2832 3304 4956 5664 6608 9912 13216 19824 26993 39648 53986 80979 107972 161958 188951 215944 323916 377902 431888 566853 647832 755804 863776 1133706 1295664 1511608 1592587 2267412 2591328 3023216 3185174 4534824 4777761 6046432 6370348 9069648 9555522 11148109 12740696 18139296 19111044 22296218 25481392 33444327 38222088 44592436 50962784 66888654 76444176 89184872 133777308 152888352 178369744 267554616 356739488 535109232 1070218464