Search a number
-
+
140514000 = 24353112129
BaseRepresentation
bin10000110000000…
…01001011010000
3100210101211222020
420120001023100
5241432422000
621535411440
73324230544
oct1030011320
9323354866
10140514000
1172353280
123b083b80
132315a2a3
1414939a24
15c508ba0
hex86012d0

140514000 has 160 divisors (see below), whose sum is σ = 494432640. Its totient is φ = 34048000.

The previous prime is 140513983. The next prime is 140514007. The reversal of 140514000 is 415041.

140514000 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (140514007) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 64936 + ... + 67064.

It is an arithmetic number, because the mean of its divisors is an integer number (3090204).

Almost surely, 2140514000 is an apocalyptic number.

140514000 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 140514000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (247216320).

140514000 is an abundant number, since it is smaller than the sum of its proper divisors (353918640).

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

140514000 is a wasteful number, since it uses less digits than its factorization.

140514000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2166 (or 2150 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 15.

The square root of 140514000 is about 11853.8601307760. The cubic root of 140514000 is about 519.8840964560.

Adding to 140514000 its reverse (415041), we get a palindrome (140929041).

The spelling of 140514000 in words is "one hundred forty million, five hundred fourteen thousand".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 16 20 22 24 25 30 33 40 44 48 50 55 60 66 75 80 88 100 110 120 125 132 150 165 176 200 220 240 250 264 275 300 330 375 400 440 500 528 550 600 660 750 825 880 1000 1100 1200 1320 1375 1500 1650 2000 2129 2200 2640 2750 3000 3300 4125 4258 4400 5500 6000 6387 6600 8250 8516 10645 11000 12774 13200 16500 17032 21290 22000 23419 25548 31935 33000 34064 42580 46838 51096 53225 63870 66000 70257 85160 93676 102192 106450 117095 127740 140514 159675 170320 187352 212900 234190 255480 266125 281028 319350 351285 374704 425800 468380 510960 532250 562056 585475 638700 702570 798375 851600 936760 1064500 1124112 1170950 1277400 1405140 1596750 1756425 1873520 2129000 2341900 2554800 2810280 2927375 3193500 3512850 4258000 4683800 5620560 5854750 6387000 7025700 8782125 9367600 11709500 12774000 14051400 17564250 23419000 28102800 35128500 46838000 70257000 140514000