Search a number
-
+
141001392 = 24373113537
BaseRepresentation
bin10000110011110…
…00001010110000
3100211022121112210
420121320022300
5242044021032
621554052120
73331330530
oct1031701260
9324277483
10141001392
1172656484
123b27a040
132329b09c
1414a254c0
15c5a32cc
hex86782b0

141001392 has 80 divisors (see below), whose sum is σ = 429750272. Its totient is φ = 38983680.

The previous prime is 141001387. The next prime is 141001447. The reversal of 141001392 is 293100141.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3648 + ... + 17184.

Almost surely, 2141001392 is an apocalyptic number.

141001392 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 141001392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (214875136).

141001392 is an abundant number, since it is smaller than the sum of its proper divisors (288748880).

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

141001392 is a wasteful number, since it uses less digits than its factorization.

141001392 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13586 (or 13580 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 21.

The square root of 141001392 is about 11874.4007006670. The cubic root of 141001392 is about 520.4844991282.

It can be divided in two parts, 14100139 and 2, that added together give a palindrome (14100141).

The spelling of 141001392 in words is "one hundred forty-one million, one thousand, three hundred ninety-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 31 42 48 56 62 84 93 112 124 168 186 217 248 336 372 434 496 651 744 868 1302 1488 1736 2604 3472 5208 10416 13537 27074 40611 54148 81222 94759 108296 162444 189518 216592 284277 324888 379036 419647 568554 649776 758072 839294 1137108 1258941 1516144 1678588 2274216 2517882 2937529 3357176 4548432 5035764 5875058 6714352 8812587 10071528 11750116 17625174 20143056 23500232 35250348 47000464 70500696 141001392