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1076138388 = 22321316314107
BaseRepresentation
bin100000000100100…
…1001000110010100
32202222221111100100
41000021021012110
54200442412023
6254441214100
735445011463
oct10011110624
92688844310
101076138388
115024a7776
12260491330
13141c479a0
14a2cca9da
1564720c43
hex40249194

1076138388 has 72 divisors (see below), whose sum is σ = 2947669088. Its totient is φ = 329064768.

The previous prime is 1076138381. The next prime is 1076138411. The reversal of 1076138388 is 8838316701.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1076138381) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 69231 + ... + 83337.

Almost surely, 21076138388 is an apocalyptic number.

1076138388 is a gapful number since it is divisible by the number (18) 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 1076138388, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1473834544).

1076138388 is an abundant number, since it is smaller than the sum of its proper divisors (1871530700).

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

1076138388 is a wasteful number, since it uses less digits than its factorization.

1076138388 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14293 (or 14288 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 45.

The square root of 1076138388 is about 32804.5482822123. The cubic root of 1076138388 is about 1024.7612810722.

The spelling of 1076138388 in words is "one billion, seventy-six million, one hundred thirty-eight thousand, three hundred eighty-eight".

Divisors: 1 2 3 4 6 9 12 13 18 26 36 39 52 78 117 156 163 234 326 468 489 652 978 1467 1956 2119 2934 4238 5868 6357 8476 12714 14107 19071 25428 28214 38142 42321 56428 76284 84642 126963 169284 183391 253926 366782 507852 550173 733564 1100346 1650519 2200692 2299441 3301038 4598882 6602076 6898323 9197764 13796646 20694969 27593292 29892733 41389938 59785466 82779876 89678199 119570932 179356398 269034597 358712796 538069194 1076138388