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1076045730 = 235472692837
BaseRepresentation
bin100000000100011…
…0010011110100010
32202222202210020120
41000020302132202
54200431430410
6254435221110
735444144364
oct10010623642
92688683216
101076045730
115024440a1
12260447796
13141c14766
14a2ca4d34
1564703570
hex402327a2

1076045730 has 64 divisors (see below), whose sum is σ = 2648194560. Its totient is φ = 279697664.

The previous prime is 1076045713. The next prime is 1076045759. The reversal of 1076045730 is 375406701.

It is a junction number, because it is equal to n+sod(n) for n = 1076045691 and 1076045700.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 377872 + ... + 380708.

It is an arithmetic number, because the mean of its divisors is an integer number (41378040).

Almost surely, 21076045730 is an apocalyptic number.

1076045730 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1076045730, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1324097280).

1076045730 is an abundant number, since it is smaller than the sum of its proper divisors (1572148830).

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

1076045730 is a wasteful number, since it uses less digits than its factorization.

1076045730 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3163.

The product of its (nonzero) digits is 17640, while the sum is 33.

The square root of 1076045730 is about 32803.1359781348. The cubic root of 1076045730 is about 1024.7318687905.

The spelling of 1076045730 in words is "one billion, seventy-six million, forty-five thousand, seven hundred thirty".

Divisors: 1 2 3 5 6 10 15 30 47 94 141 235 269 282 470 538 705 807 1345 1410 1614 2690 2837 4035 5674 8070 8511 12643 14185 17022 25286 28370 37929 42555 63215 75858 85110 126430 133339 189645 266678 379290 400017 666695 763153 800034 1333390 1526306 2000085 2289459 3815765 4000170 4578918 7631530 11447295 22894590 35868191 71736382 107604573 179340955 215209146 358681910 538022865 1076045730