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30756642 = 2374153337
BaseRepresentation
bin111010101010…
…0111100100010
32010212121011220
41311110330202
530333203032
63015115510
7522266340
oct165247442
963777156
1030756642
11163a7a14
12a372b96
1364ab4c7
144128990
152a7812c
hex1d54f22

30756642 has 64 divisors (see below), whose sum is σ = 73592064. Its totient is φ = 8386560.

The previous prime is 30756613. The next prime is 30756643. The reversal of 30756642 is 24665703.

It is not an unprimeable number, because it can be changed into a prime (30756643) 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, 91098 + ... + 91434.

It is an arithmetic number, because the mean of its divisors is an integer number (1149876).

Almost surely, 230756642 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 30756642, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36796032).

30756642 is an abundant number, since it is smaller than the sum of its proper divisors (42835422).

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

30756642 is a wasteful number, since it uses less digits than its factorization.

30756642 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 443.

The product of its (nonzero) digits is 30240, while the sum is 33.

The square root of 30756642 is about 5545.8671098395. The cubic root of 30756642 is about 313.3138831546.

The spelling of 30756642 in words is "thirty million, seven hundred fifty-six thousand, six hundred forty-two".

Divisors: 1 2 3 6 7 14 21 41 42 53 82 106 123 159 246 287 318 337 371 574 674 742 861 1011 1113 1722 2022 2173 2226 2359 4346 4718 6519 7077 13038 13817 14154 15211 17861 27634 30422 35722 41451 45633 53583 82902 91266 96719 107166 125027 193438 250054 290157 375081 580314 732301 750162 1464602 2196903 4393806 5126107 10252214 15378321 30756642