Search a number
-
+
1242652212 = 2233194431367
BaseRepresentation
bin100101000010001…
…0101111000110100
310012121021021101000
41022010111320310
510021104332322
6323150203300
742536240514
oct11204257064
93177237330
101242652212
11588498aaa
122a81b3530
1316a5a9289
14bb073844
15741633ac
hex4a115e34

1242652212 has 96 divisors (see below), whose sum is σ = 3401395200. Its totient is φ = 391244256.

The previous prime is 1242652207. The next prime is 1242652219. The reversal of 1242652212 is 2122562421.

1242652212 is a `hidden beast` number, since 1 + 2 + 4 + 2 + 652 + 2 + 1 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1242652219) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 908353 + ... + 909719.

It is an arithmetic number, because the mean of its divisors is an integer number (35431200).

Almost surely, 21242652212 is an apocalyptic number.

1242652212 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 1242652212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1700697600).

1242652212 is an abundant number, since it is smaller than the sum of its proper divisors (2158742988).

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

1242652212 is a wasteful number, since it uses less digits than its factorization.

1242652212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1842 (or 1834 counting only the distinct ones).

The product of its digits is 3840, while the sum is 27.

The square root of 1242652212 is about 35251.2724876706. The cubic root of 1242652212 is about 1075.1024851274.

The spelling of 1242652212 in words is "one billion, two hundred forty-two million, six hundred fifty-two thousand, two hundred twelve".

Divisors: 1 2 3 4 6 9 12 18 19 27 36 38 54 57 76 108 114 171 228 342 443 513 684 886 1026 1329 1367 1772 2052 2658 2734 3987 4101 5316 5468 7974 8202 8417 11961 12303 15948 16404 16834 23922 24606 25251 25973 33668 36909 47844 49212 50502 51946 73818 75753 77919 101004 103892 147636 151506 155838 227259 233757 303012 311676 454518 467514 605581 701271 909036 935028 1211162 1402542 1816743 2422324 2805084 3633486 5450229 7266972 10900458 11506039 16350687 21800916 23012078 32701374 34518117 46024156 65402748 69036234 103554351 138072468 207108702 310663053 414217404 621326106 1242652212