Search a number
-
+
138167928 = 233261163193
BaseRepresentation
bin10000011110001…
…00011001111000
3100121222122202200
420033010121320
5240332333203
621413230200
73265256643
oct1017043170
9317878680
10138167928
1170aa0678
123a332360
1322818492
14144c8a5a
15c1e39a3
hex83c4678

138167928 has 96 divisors (see below), whose sum is σ = 384655440. Its totient is φ = 44789760.

The previous prime is 138167819. The next prime is 138167933. The reversal of 138167928 is 829761831.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 715800 + ... + 715992.

Almost surely, 2138167928 is an apocalyptic number.

138167928 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 138167928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (192327720).

138167928 is an abundant number, since it is smaller than the sum of its proper divisors (246487512).

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

138167928 is a wasteful number, since it uses less digits than its factorization.

138167928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 429 (or 422 counting only the distinct ones).

The product of its digits is 145152, while the sum is 45.

The square root of 138167928 is about 11754.4854417367. The cubic root of 138167928 is about 516.9744521070.

The spelling of 138167928 in words is "one hundred thirty-eight million, one hundred sixty-seven thousand, nine hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 61 72 122 163 183 193 244 326 366 386 488 489 549 579 652 732 772 978 1098 1158 1304 1464 1467 1544 1737 1956 2196 2316 2934 3474 3912 4392 4632 5868 6948 9943 11736 11773 13896 19886 23546 29829 31459 35319 39772 47092 59658 62918 70638 79544 89487 94184 94377 105957 119316 125836 141276 178974 188754 211914 238632 251672 282552 283131 357948 377508 423828 566262 715896 755016 847656 1132524 1918999 2265048 3837998 5756997 7675996 11513994 15351992 17270991 23027988 34541982 46055976 69083964 138167928