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1388820132 = 2232722334231
BaseRepresentation
bin101001011000111…
…1011011010100100
310120210022101001200
41102301323122210
510321014221012
6345451122500
746262530200
oct12261733244
93523271050
101388820132
11652a53137
12329143430
13191965b7b
14d2641b00
1581dd73dc
hex52c7b6a4

1388820132 has 108 divisors (see below), whose sum is σ = 4261473216. Its totient is φ = 379542240.

The previous prime is 1388820127. The next prime is 1388820163. The reversal of 1388820132 is 2310288831.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 23457 + ... + 57687.

Almost surely, 21388820132 is an apocalyptic number.

1388820132 is a gapful number since it is divisible by the number (12) 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 1388820132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2130736608).

1388820132 is an abundant number, since it is smaller than the sum of its proper divisors (2872653084).

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

1388820132 is a wasteful number, since it uses less digits than its factorization.

1388820132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34278 (or 34266 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

The square root of 1388820132 is about 37266.8771431146. The cubic root of 1388820132 is about 1115.7031719157.

The spelling of 1388820132 in words is "one billion, three hundred eighty-eight million, eight hundred twenty thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 23 28 36 42 46 49 63 69 84 92 98 126 138 147 161 196 207 252 276 294 322 414 441 483 588 644 828 882 966 1127 1449 1764 1932 2254 2898 3381 4508 5796 6762 10143 13524 20286 34231 40572 68462 102693 136924 205386 239617 308079 410772 479234 616158 718851 787313 958468 1232316 1437702 1574626 1677319 2156553 2361939 2875404 3149252 3354638 4313106 4723878 5031957 5511191 6709276 7085817 8626212 9447756 10063914 11022382 14171634 15095871 16533573 20127828 22044764 28343268 30191742 33067146 38578337 49600719 60383484 66134292 77156674 99201438 115735011 154313348 198402876 231470022 347205033 462940044 694410066 1388820132