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138027834 = 23373771139
BaseRepresentation
bin10000011101000…
…10001100111010
3100121201112121000
420032202030322
5240313342314
621410225430
73264134340
oct1016421472
9317645530
10138027834
1170a0539a
123a285276
1322799799
141448d990
15c1b7209
hex83a233a

138027834 has 128 divisors (see below), whose sum is σ = 367718400. Its totient is φ = 37558080.

The previous prime is 138027833. The next prime is 138027887. The reversal of 138027834 is 438720831.

138027834 is a `hidden beast` number, since 1 + 380 + 278 + 3 + 4 = 666.

It is not an unprimeable number, because it can be changed into a prime (138027833) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 992937 + ... + 993075.

It is an arithmetic number, because the mean of its divisors is an integer number (2872800).

Almost surely, 2138027834 is an apocalyptic number.

138027834 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 138027834, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (183859200).

138027834 is an abundant number, since it is smaller than the sum of its proper divisors (229690566).

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

138027834 is a wasteful number, since it uses less digits than its factorization.

138027834 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 265 (or 259 counting only the distinct ones).

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

The square root of 138027834 is about 11748.5247584537. The cubic root of 138027834 is about 516.7996659803.

The spelling of 138027834 in words is "one hundred thirty-eight million, twenty-seven thousand, eight hundred thirty-four".

Divisors: 1 2 3 6 7 9 14 18 21 27 37 42 54 63 71 74 111 126 139 142 189 213 222 259 278 333 378 417 426 497 518 639 666 777 834 973 994 999 1251 1278 1491 1554 1917 1946 1998 2331 2502 2627 2919 2982 3753 3834 4473 4662 5143 5254 5838 6993 7506 7881 8757 8946 9869 10286 13419 13986 15429 15762 17514 18389 19738 23643 26271 26838 29607 30858 36001 36778 46287 47286 52542 55167 59214 69083 70929 72002 88821 92574 108003 110334 138166 138861 141858 165501 177642 207249 216006 266463 277722 324009 331002 365153 414498 496503 532926 621747 648018 730306 972027 993006 1095459 1243494 1865241 1944054 2190918 2556071 3286377 3730482 5112142 6572754 7668213 9859131 15336426 19718262 23004639 46009278 69013917 138027834