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140105532 = 22373761739
BaseRepresentation
bin10000101100111…
…01011100111100
3100202122002122210
420112131130330
5241331334112
621522540420
73320606640
oct1026353474
9322562583
10140105532
11720a43a6
123ab07710
13230463a8
1414870c20
15c477b3c
hex859d73c

140105532 has 96 divisors (see below), whose sum is σ = 390530560. Its totient is φ = 38257920.

The previous prime is 140105521. The next prime is 140105557. The reversal of 140105532 is 235501041.

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

It is a junction number, because it is equal to n+sod(n) for n = 140105499 and 140105508.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 189219 + ... + 189957.

Almost surely, 2140105532 is an apocalyptic number.

140105532 is a gapful number since it is divisible by the number (12) 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 140105532, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (195265280).

140105532 is an abundant number, since it is smaller than the sum of its proper divisors (250425028).

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

140105532 is a wasteful number, since it uses less digits than its factorization.

140105532 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 851 (or 849 counting only the distinct ones).

The product of its (nonzero) digits is 600, while the sum is 21.

The square root of 140105532 is about 11836.6182670558. The cubic root of 140105532 is about 519.3798474845.

Adding to 140105532 its reverse (235501041), we get a palindrome (375606573).

The spelling of 140105532 in words is "one hundred forty million, one hundred five thousand, five hundred thirty-two".

Divisors: 1 2 3 4 6 7 12 14 21 28 37 42 61 74 84 111 122 148 183 222 244 259 366 427 444 518 732 739 777 854 1036 1281 1478 1554 1708 2217 2257 2562 2956 3108 4434 4514 5124 5173 6771 8868 9028 10346 13542 15519 15799 20692 27084 27343 31038 31598 45079 47397 54686 62076 63196 82029 90158 94794 109372 135237 164058 180316 189588 191401 270474 315553 328116 382802 540948 574203 631106 765604 946659 1148406 1262212 1667923 1893318 2296812 3335846 3786636 5003769 6671692 10007538 11675461 20015076 23350922 35026383 46701844 70052766 140105532