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930114621 = 32375994663
BaseRepresentation
bin110111011100000…
…110110000111101
32101211011201101200
4313130012300331
53401102131441
6232143330113
732022562302
oct6734066075
92354151350
10930114621
11438030977
1221b5b0939
1311a90b8a7
148b7590a9
15569c97b6
hex37706c3d

930114621 has 24 divisors (see below), whose sum is σ = 1382409600. Its totient is φ = 602181216.

The previous prime is 930114613. The next prime is 930114623. The reversal of 930114621 is 126411039.

930114621 is a `hidden beast` number, since 9 + 30 + 1 + 1 + 4 + 621 = 666.

It is not a de Polignac number, because 930114621 - 23 = 930114613 is a prime.

It is a super-3 number, since 3×9301146213 (a number of 28 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (930114623) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 197136 + ... + 201798.

It is an arithmetic number, because the mean of its divisors is an integer number (57600400).

Almost surely, 2930114621 is an apocalyptic number.

It is an amenable number.

930114621 is a deficient number, since it is larger than the sum of its proper divisors (452294979).

930114621 is a wasteful number, since it uses less digits than its factorization.

930114621 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5305 (or 5302 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

The square root of 930114621 is about 30497.7805913807. The cubic root of 930114621 is about 976.1401069384.

The spelling of 930114621 in words is "nine hundred thirty million, one hundred fourteen thousand, six hundred twenty-one".

Divisors: 1 3 9 37 111 333 599 1797 4663 5391 13989 22163 41967 66489 172531 199467 517593 1552779 2793137 8379411 25138233 103346069 310038207 930114621