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140110400 = 2652671307
BaseRepresentation
bin10000101100111…
…10101001000000
3100202122100100002
420112132221000
5241332013100
621523015132
73320630063
oct1026365100
9322570302
10140110400
11720a8021
123ab0a4a8
1323048681
14148728da
15c4792d5
hex859ea40

140110400 has 84 divisors (see below), whose sum is σ = 350172528. Its totient is φ = 55165440.

The previous prime is 140110393. The next prime is 140110403. The reversal of 140110400 is 4011041.

It is not an unprimeable number, because it can be changed into a prime (140110403) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 106547 + ... + 107853.

Almost surely, 2140110400 is an apocalyptic number.

140110400 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 140110400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (175086264).

140110400 is an abundant number, since it is smaller than the sum of its proper divisors (210062128).

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

140110400 is a wasteful number, since it uses less digits than its factorization.

140110400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1396 (or 1381 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 11.

The square root of 140110400 is about 11836.8238983268. The cubic root of 140110400 is about 519.3858627403.

Adding to 140110400 its reverse (4011041), we get a palindrome (144121441).

The spelling of 140110400 in words is "one hundred forty million, one hundred ten thousand, four hundred".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 67 80 100 134 160 200 268 320 335 400 536 670 800 1072 1307 1340 1600 1675 2144 2614 2680 3350 4288 5228 5360 6535 6700 10456 10720 13070 13400 20912 21440 26140 26800 32675 41824 52280 53600 65350 83648 87569 104560 107200 130700 175138 209120 261400 350276 418240 437845 522800 700552 875690 1045600 1401104 1751380 2091200 2189225 2802208 3502760 4378450 5604416 7005520 8756900 14011040 17513800 28022080 35027600 70055200 140110400