Search a number
-
+
140431320 = 2334589487
BaseRepresentation
bin10000101111011…
…00111111011000
3100210020122120000
420113230333120
5241422300240
621533533000
73323434521
oct1027547730
9323218500
10140431320
11722a7147
123b044160
132312b773
1414917848
15c4de430
hex85ecfd8

140431320 has 160 divisors (see below), whose sum is σ = 478288800. Its totient is φ = 36951552.

The previous prime is 140431303. The next prime is 140431321. The reversal of 140431320 is 23134041.

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

It is a junction number, because it is equal to n+sod(n) for n = 140431293 and 140431302.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (140431321) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 288117 + ... + 288603.

It is an arithmetic number, because the mean of its divisors is an integer number (2989305).

Almost surely, 2140431320 is an apocalyptic number.

140431320 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 140431320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (239144400).

140431320 is an abundant number, since it is smaller than the sum of its proper divisors (337857480).

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

140431320 is a wasteful number, since it uses less digits than its factorization.

140431320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 599 (or 586 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 140431320 is about 11850.3721460552. The cubic root of 140431320 is about 519.7821079220.

Adding to 140431320 its reverse (23134041), we get a palindrome (163565361).

The spelling of 140431320 in words is "one hundred forty million, four hundred thirty-one thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 27 30 36 40 45 54 60 72 81 89 90 108 120 135 162 178 180 216 267 270 324 356 360 405 445 487 534 540 648 712 801 810 890 974 1068 1080 1335 1461 1602 1620 1780 1948 2136 2403 2435 2670 2922 3204 3240 3560 3896 4005 4383 4806 4870 5340 5844 6408 7209 7305 8010 8766 9612 9740 10680 11688 12015 13149 14418 14610 16020 17532 19224 19480 21915 24030 26298 28836 29220 32040 35064 36045 39447 43343 43830 48060 52596 57672 58440 65745 72090 78894 86686 87660 96120 105192 130029 131490 144180 157788 173372 175320 197235 216715 260058 262980 288360 315576 346744 390087 394470 433430 520116 525960 650145 780174 788940 866860 1040232 1170261 1300290 1560348 1577880 1733720 1950435 2340522 2600580 3120696 3510783 3900870 4681044 5201160 5851305 7021566 7801740 9362088 11702610 14043132 15603480 17553915 23405220 28086264 35107830 46810440 70215660 140431320