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9139392 = 26344143
BaseRepresentation
bin100010110111…
…010011000000
3122012022220000
4202313103000
54314430032
6523520000
7140453313
oct42672300
918168800
109139392
115182619
123089000
131b7cc32
1412dc97a
15c07e7c
hex8b74c0

9139392 has 140 divisors (see below), whose sum is σ = 28398216. Its totient is φ = 2903040.

The previous prime is 9139391. The next prime is 9139393. The reversal of 9139392 is 2939319.

It is an interprime number because it is at equal distance from previous prime (9139391) and next prime (9139393).

It is a super-2 number, since 2×91393922 = 167056972259328, which contains 22 as substring.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

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

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (9139391) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 212523 + ... + 212565.

Almost surely, 29139392 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9139392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14199108).

9139392 is an abundant number, since it is smaller than the sum of its proper divisors (19258824).

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

9139392 is a wasteful number, since it uses less digits than its factorization.

9139392 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 108 (or 89 counting only the distinct ones).

The product of its digits is 13122, while the sum is 36.

The square root of 9139392 is about 3023.1427356313. The cubic root of 9139392 is about 209.0767633897.

The spelling of 9139392 in words is "nine million, one hundred thirty-nine thousand, three hundred ninety-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 41 43 48 54 64 72 81 82 86 96 108 123 129 144 162 164 172 192 216 246 258 288 324 328 344 369 387 432 492 516 576 648 656 688 738 774 864 984 1032 1107 1161 1296 1312 1376 1476 1548 1728 1763 1968 2064 2214 2322 2592 2624 2752 2952 3096 3321 3483 3526 3936 4128 4428 4644 5184 5289 5904 6192 6642 6966 7052 7872 8256 8856 9288 10578 11808 12384 13284 13932 14104 15867 17712 18576 21156 23616 24768 26568 27864 28208 31734 35424 37152 42312 47601 53136 55728 56416 63468 70848 74304 84624 95202 106272 111456 112832 126936 142803 169248 190404 212544 222912 253872 285606 338496 380808 507744 571212 761616 1015488 1142424 1523232 2284848 3046464 4569696 9139392