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140214300 = 2235217191447
BaseRepresentation
bin10000101101110…
…00000000011100
3100202211121212020
420112320000130
5241343324200
621525140140
73321542022
oct1026700034
9322747766
10140214300
1172169096
123ab5a650
1323083a55
141489c712
15c499ea0
hex85b801c

140214300 has 144 divisors (see below), whose sum is σ = 452471040. Its totient is φ = 33315840.

The previous prime is 140214289. The next prime is 140214323. The reversal of 140214300 is 3412041.

140214300 = 41832 + 41842 + ... + 41902.

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

It is a self number, because there is not a number n which added to its sum of digits gives 140214300.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 96177 + ... + 97623.

It is an arithmetic number, because the mean of its divisors is an integer number (3142160).

Almost surely, 2140214300 is an apocalyptic number.

140214300 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 140214300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (226235520).

140214300 is an abundant number, since it is smaller than the sum of its proper divisors (312256740).

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

140214300 is a wasteful number, since it uses less digits than its factorization.

140214300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1500 (or 1493 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

The square root of 140214300 is about 11841.2119312172. The cubic root of 140214300 is about 519.5142159471.

Adding to 140214300 its reverse (3412041), we get a palindrome (143626341).

The spelling of 140214300 in words is "one hundred forty million, two hundred fourteen thousand, three hundred".

Divisors: 1 2 3 4 5 6 10 12 15 17 19 20 25 30 34 38 50 51 57 60 68 75 76 85 95 100 102 114 150 170 190 204 228 255 285 300 323 340 380 425 475 510 570 646 850 950 969 1020 1140 1275 1292 1425 1447 1615 1700 1900 1938 2550 2850 2894 3230 3876 4341 4845 5100 5700 5788 6460 7235 8075 8682 9690 14470 16150 17364 19380 21705 24225 24599 27493 28940 32300 36175 43410 48450 49198 54986 72350 73797 82479 86820 96900 98396 108525 109972 122995 137465 144700 147594 164958 217050 245990 274930 295188 329916 368985 412395 434100 467381 491980 549860 614975 687325 737970 824790 934762 1229950 1374650 1402143 1475940 1649580 1844925 1869524 2061975 2336905 2459900 2749300 2804286 3689850 4123950 4673810 5608572 7010715 7379700 8247900 9347620 11684525 14021430 23369050 28042860 35053575 46738100 70107150 140214300