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1124066628 = 223259952127
BaseRepresentation
bin100001011111111…
…1110010101000100
32220100010111112100
41002333332111010
54300230113003
6303312352100
736566260116
oct10277762504
92810114470
101124066628
11527562993
12274545630
1314bb590a9
14a94053b6
1568a3bba3
hex42ffe544

1124066628 has 36 divisors (see below), whose sum is σ = 2846188800. Its totient is φ = 374056176.

The previous prime is 1124066627. The next prime is 1124066633. The reversal of 1124066628 is 8266604211.

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 1124066592 and 1124066601.

It is not an unprimeable number, because it can be changed into a prime (1124066627) 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 11 ways as a sum of consecutive naturals, for example, 4500 + ... + 47627.

It is an arithmetic number, because the mean of its divisors is an integer number (79060800).

Almost surely, 21124066628 is an apocalyptic number.

1124066628 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

1124066628 is an abundant number, since it is smaller than the sum of its proper divisors (1722122172).

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

1124066628 is a wasteful number, since it uses less digits than its factorization.

1124066628 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52736 (or 52731 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 1124066628 is about 33527.1028870674. The cubic root of 1124066628 is about 1039.7542035001.

The spelling of 1124066628 in words is "one billion, one hundred twenty-four million, sixty-six thousand, six hundred twenty-eight".

Divisors: 1 2 3 4 6 9 12 18 36 599 1198 1797 2396 3594 5391 7188 10782 21564 52127 104254 156381 208508 312762 469143 625524 938286 1876572 31224073 62448146 93672219 124896292 187344438 281016657 374688876 562033314 1124066628