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140214400 = 2752431019
BaseRepresentation
bin10000101101110…
…00000010000000
3100202211121222221
420112320002000
5241343330100
621525140424
73321542224
oct1026700200
9322747887
10140214400
1172169177
123ab5a714
1323083b01
141489c784
15c49a01a
hex85b8080

140214400 has 96 divisors (see below), whose sum is σ = 354776400. Its totient is φ = 54727680.

The previous prime is 140214377. The next prime is 140214401. The reversal of 140214400 is 4412041.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is not an unprimeable number, because it can be changed into a prime (140214401) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 137091 + ... + 138109.

Almost surely, 2140214400 is an apocalyptic number.

140214400 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 140214400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (177388200).

140214400 is an abundant number, since it is smaller than the sum of its proper divisors (214562000).

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

140214400 is a wasteful number, since it uses less digits than its factorization.

140214400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1086 (or 1069 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 16.

The square root of 140214400 is about 11841.2161537572. The cubic root of 140214400 is about 519.5143394518.

Adding to 140214400 its reverse (4412041), we get a palindrome (144626441).

The spelling of 140214400 in words is "one hundred forty million, two hundred fourteen thousand, four hundred".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 43 50 64 80 86 100 128 160 172 200 215 320 344 400 430 640 688 800 860 1019 1075 1376 1600 1720 2038 2150 2752 3200 3440 4076 4300 5095 5504 6880 8152 8600 10190 13760 16304 17200 20380 25475 27520 32608 34400 40760 43817 50950 65216 68800 81520 87634 101900 130432 137600 163040 175268 203800 219085 326080 350536 407600 438170 652160 701072 815200 876340 1095425 1402144 1630400 1752680 2190850 2804288 3260800 3505360 4381700 5608576 7010720 8763400 14021440 17526800 28042880 35053600 70107200 140214400