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1127667138 = 2313192333083
BaseRepresentation
bin100001100110110…
…1101010111000010
32220120220102111120
41003031231113002
54302140322023
6303521453110
736642004203
oct10315552702
92816812446
101127667138
115295a2014
122757a1196
1314c819b80
14a9aa15aa
1568eed8e3
hex4336d5c2

1127667138 has 64 divisors (see below), whose sum is σ = 2667893760. Its totient is φ = 314411328.

The previous prime is 1127667097. The next prime is 1127667143. The reversal of 1127667138 is 8317667211.

It is a super-2 number, since 2×11276671382 = 2543266348250222088, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 1127667138.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 17545 + ... + 50627.

It is an arithmetic number, because the mean of its divisors is an integer number (41685840).

Almost surely, 21127667138 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1127667138, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1333946880).

1127667138 is an abundant number, since it is smaller than the sum of its proper divisors (1540226622).

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

1127667138 is a wasteful number, since it uses less digits than its factorization.

1127667138 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33143.

The product of its digits is 84672, while the sum is 42.

The square root of 1127667138 is about 33580.7554709539. The cubic root of 1127667138 is about 1040.8631696142.

The spelling of 1127667138 in words is "one billion, one hundred twenty-seven million, six hundred sixty-seven thousand, one hundred thirty-eight".

Divisors: 1 2 3 6 13 19 23 26 38 39 46 57 69 78 114 138 247 299 437 494 598 741 874 897 1311 1482 1794 2622 5681 11362 17043 33083 34086 66166 99249 198498 430079 628577 760909 860158 1257154 1290237 1521818 1885731 2282727 2580474 3771462 4565454 8171501 9891817 14457271 16343002 19783634 24514503 28914542 29675451 43371813 49029006 59350902 86743626 187944523 375889046 563833569 1127667138