Search a number
-
+
140051120 = 24511612609
BaseRepresentation
bin10000101100100…
…00001010110000
3100202112100000112
420112100022300
5241323113440
621521440452
73320262206
oct1026201260
9322470015
10140051120
1172067530
123aaa0128
13230276b1
1414859076
15c466965
hex85902b0

140051120 has 80 divisors (see below), whose sum is σ = 361182240. Its totient is φ = 50073600.

The previous prime is 140051101. The next prime is 140051137. The reversal of 140051120 is 21150041.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×1400511202 = 39228632426508800, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 140051095 and 140051104.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 52376 + ... + 54984.

It is an arithmetic number, because the mean of its divisors is an integer number (4514778).

Almost surely, 2140051120 is an apocalyptic number.

140051120 is a gapful number since it is divisible by the number (10) 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 140051120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (180591120).

140051120 is an abundant number, since it is smaller than the sum of its proper divisors (221131120).

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

140051120 is a wasteful number, since it uses less digits than its factorization.

140051120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2694 (or 2688 counting only the distinct ones).

The product of its (nonzero) digits is 40, while the sum is 14.

The square root of 140051120 is about 11834.3195833136. The cubic root of 140051120 is about 519.3126025654.

The spelling of 140051120 in words is "one hundred forty million, fifty-one thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 11 16 20 22 40 44 55 61 80 88 110 122 176 220 244 305 440 488 610 671 880 976 1220 1342 2440 2609 2684 3355 4880 5218 5368 6710 10436 10736 13045 13420 20872 26090 26840 28699 41744 52180 53680 57398 104360 114796 143495 159149 208720 229592 286990 318298 459184 573980 636596 795745 1147960 1273192 1591490 1750639 2295920 2546384 3182980 3501278 6365960 7002556 8753195 12731920 14005112 17506390 28010224 35012780 70025560 140051120