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1073906768 = 241141433461
BaseRepresentation
bin100000000000010…
…1000010001010000
32202211202010010202
41000000220101100
54144410004033
6254321314332
735420025344
oct10000502120
92684663122
101073906768
11501213060
1225b7959a8
13141645cbc
14a28a9624
156442e8e8
hex40028450

1073906768 has 80 divisors (see below), whose sum is σ = 2379972672. Its totient is φ = 465024000.

The previous prime is 1073906761. The next prime is 1073906783. The reversal of 1073906768 is 8676093701.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1073906761) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 308558 + ... + 312018.

Almost surely, 21073906768 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 1073906768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1189986336).

1073906768 is an abundant number, since it is smaller than the sum of its proper divisors (1306065904).

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

1073906768 is a wasteful number, since it uses less digits than its factorization.

1073906768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3564 (or 3558 counting only the distinct ones).

The product of its (nonzero) digits is 381024, while the sum is 47.

The square root of 1073906768 is about 32770.5167490536. The cubic root of 1073906768 is about 1024.0524316008.

The spelling of 1073906768 in words is "one billion, seventy-three million, nine hundred six thousand, seven hundred sixty-eight".

Divisors: 1 2 4 8 11 16 22 41 43 44 82 86 88 164 172 176 328 344 451 473 656 688 902 946 1763 1804 1892 3461 3526 3608 3784 6922 7052 7216 7568 13844 14104 19393 27688 28208 38071 38786 55376 76142 77572 141901 148823 152284 155144 283802 297646 304568 310288 567604 595292 609136 1135208 1190584 1560911 1637053 2270416 2381168 3121822 3274106 6101743 6243644 6548212 12203486 12487288 13096424 24406972 24974576 26192848 48813944 67119173 97627888 134238346 268476692 536953384 1073906768