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1069382704 = 24136189947
BaseRepresentation
bin111111101111010…
…111110000110000
32202112020021021211
4333233113300300
54142230221304
6254040325504
735333413555
oct7757276060
92675207254
101069382704
114a9703065
1225a173894
13140720a40
14a204ca2c
1563d39204
hex3fbd7c30

1069382704 has 80 divisors (see below), whose sum is σ = 2295790560. Its totient is φ = 479508480.

The previous prime is 1069382687. The next prime is 1069382747. The reversal of 1069382704 is 4072839601.

It is a super-2 number, since 2×10693827042 = 2287158735228703232, which contains 22 as substring.

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, 1128759 + ... + 1129705.

It is an arithmetic number, because the mean of its divisors is an integer number (28697382).

Almost surely, 21069382704 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1069382704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1147895280).

1069382704 is an abundant number, since it is smaller than the sum of its proper divisors (1226407856).

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

1069382704 is a wasteful number, since it uses less digits than its factorization.

1069382704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1118 (or 1112 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 40.

The square root of 1069382704 is about 32701.4174616331. The cubic root of 1069382704 is about 1022.6123935969.

The spelling of 1069382704 in words is "one billion, sixty-nine million, three hundred eighty-two thousand, seven hundred four".

Divisors: 1 2 4 8 13 16 26 52 61 89 104 122 178 208 244 356 488 712 793 947 976 1157 1424 1586 1894 2314 3172 3788 4628 5429 6344 7576 9256 10858 12311 12688 15152 18512 21716 24622 43432 49244 57767 70577 84283 86864 98488 115534 141154 168566 196976 231068 282308 337132 462136 564616 674264 750971 924272 1095679 1129232 1348528 1501942 2191358 3003884 4382716 5141263 6007768 8765432 10282526 12015536 17530864 20565052 41130104 66836419 82260208 133672838 267345676 534691352 1069382704