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140212128 = 2537241727
BaseRepresentation
bin10000101101101…
…11011110100000
3100202211111212210
420112313132200
5241343242003
621525122120
73321532500
oct1026673640
9322744783
10140212128
11721674a1
123ab59340
1323082a74
141489ba00
15c499503
hex85b77a0

140212128 has 144 divisors (see below), whose sum is σ = 439193664. Its totient is φ = 39029760.

The previous prime is 140212043. The next prime is 140212157. The reversal of 140212128 is 821212041.

140212128 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 192501 + ... + 193227.

It is an arithmetic number, because the mean of its divisors is an integer number (3049956).

Almost surely, 2140212128 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 140212128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (219596832).

140212128 is an abundant number, since it is smaller than the sum of its proper divisors (298981536).

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

140212128 is a wasteful number, since it uses less digits than its factorization.

140212128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 795 (or 780 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 21.

The square root of 140212128 is about 11841.1202172767. The cubic root of 140212128 is about 519.5115334087.

Adding to 140212128 its reverse (821212041), we get a palindrome (961424169).

It can be divided in two parts, 1402 and 12128, that added together give a triangular number (13530 = T164).

The spelling of 140212128 in words is "one hundred forty million, two hundred twelve thousand, one hundred twenty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 41 42 48 49 56 82 84 96 98 112 123 147 164 168 196 224 246 287 294 328 336 392 492 574 588 656 672 727 784 861 984 1148 1176 1312 1454 1568 1722 1968 2009 2181 2296 2352 2908 3444 3936 4018 4362 4592 4704 5089 5816 6027 6888 8036 8724 9184 10178 11632 12054 13776 15267 16072 17448 20356 23264 24108 27552 29807 30534 32144 34896 35623 40712 48216 59614 61068 64288 69792 71246 81424 89421 96432 106869 119228 122136 142492 162848 178842 192864 208649 213738 238456 244272 284984 357684 417298 427476 476912 488544 569968 625947 715368 834596 854952 953824 1139936 1251894 1430736 1460543 1669192 1709904 2503788 2861472 2921086 3338384 3419808 4381629 5007576 5842172 6676768 8763258 10015152 11684344 17526516 20030304 23368688 35053032 46737376 70106064 140212128