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140450400 = 25325219507
BaseRepresentation
bin10000101111100…
…01101001100000
3100210021121201200
420113301221200
5241423403100
621534201200
73323544246
oct1027615140
9323247650
10140450400
117230a512
123b053200
132313735c
1414920796
15c4e4e00
hex85f1a60

140450400 has 108 divisors (see below), whose sum is σ = 495288612. Its totient is φ = 37451520.

The previous prime is 140450383. The next prime is 140450411. The reversal of 140450400 is 4054041.

Added to its reverse (4054041) it gives a square (144504441 = 120212).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 2554 + ... + 16953.

Almost surely, 2140450400 is an apocalyptic number.

140450400 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 140450400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (247644306).

140450400 is an abundant number, since it is smaller than the sum of its proper divisors (354838212).

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

140450400 is a wasteful number, since it uses less digits than its factorization.

140450400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19533 (or 19517 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 18.

The square root of 140450400 is about 11851.1771567216. The cubic root of 140450400 is about 519.8056472898.

Adding to 140450400 its reverse (4054041), we get a square (144504441 = 120212).

The spelling of 140450400 in words is "one hundred forty million, four hundred fifty thousand, four hundred".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 25 30 32 36 40 45 48 50 60 72 75 80 90 96 100 120 144 150 160 180 200 225 240 288 300 360 400 450 480 600 720 800 900 1200 1440 1800 2400 3600 7200 19507 39014 58521 78028 97535 117042 156056 175563 195070 234084 292605 312112 351126 390140 468168 487675 585210 624224 702252 780280 877815 936336 975350 1170420 1404504 1463025 1560560 1755630 1872672 1950700 2340840 2809008 2926050 3121120 3511260 3901400 4389075 4681680 5618016 5852100 7022520 7802800 8778150 9363360 11704200 14045040 15605600 17556300 23408400 28090080 35112600 46816800 70225200 140450400