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1076813442 = 2322937127439
BaseRepresentation
bin100000000101110…
…1101111010000010
32210001012210100100
41000023231322002
54201131012232
6254503503230
735453522535
oct10013557202
92701183310
101076813442
11502918971
12260757b16
13142123023
14a3024a1c
1564805c7c
hex402ede82

1076813442 has 96 divisors (see below), whose sum is σ = 2503987200. Its totient is φ = 333777024.

The previous prime is 1076813389. The next prime is 1076813443. The reversal of 1076813442 is 2443186701.

It is a junction number, because it is equal to n+sod(n) for n = 1076813397 and 1076813406.

It is not an unprimeable number, because it can be changed into a prime (1076813443) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2452659 + ... + 2453097.

It is an arithmetic number, because the mean of its divisors is an integer number (26083200).

Almost surely, 21076813442 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1076813442, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1251993600).

1076813442 is an abundant number, since it is smaller than the sum of its proper divisors (1427173758).

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

1076813442 is a wasteful number, since it uses less digits than its factorization.

1076813442 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 640 (or 637 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 1076813442 is about 32814.8356997258. The cubic root of 1076813442 is about 1024.9755114514.

The spelling of 1076813442 in words is "one billion, seventy-six million, eight hundred thirteen thousand, four hundred forty-two".

Divisors: 1 2 3 6 9 18 29 37 58 74 87 111 127 174 222 254 261 333 381 439 522 666 762 878 1073 1143 1317 2146 2286 2634 3219 3683 3951 4699 6438 7366 7902 9398 9657 11049 12731 14097 16243 19314 22098 25462 28194 32486 33147 38193 42291 48729 55753 66294 76386 84582 97458 111506 114579 136271 146187 167259 229158 272542 292374 334518 408813 471047 501777 817626 942094 1003554 1226439 1413141 1616837 2062861 2452878 2826282 3233674 4125722 4239423 4850511 6188583 8478846 9701022 12377166 14551533 18565749 29103066 37131498 59822969 119645938 179468907 358937814 538406721 1076813442