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1120640127 = 329372972
BaseRepresentation
bin100001011001011…
…1001110001111111
32220002200102020220
41002302321301333
54243340441002
6303111112423
736525166245
oct10262716177
92802612226
101120640127
11525632572
12273372713
1314b229589
14a8b92795
15685b17bc
hex42cb9c7f

1120640127 has 36 divisors (see below), whose sum is σ = 1605161880. Its totient is φ = 694600704.

The previous prime is 1120640123. The next prime is 1120640149. The reversal of 1120640127 is 7210460211.

It is not a de Polignac number, because 1120640127 - 22 = 1120640123 is a prime.

It is a super-2 number, since 2×11206401272 = 2511668588485152258, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1120640097 and 1120640106.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1120640123) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 11552943 + ... + 11553039.

It is an arithmetic number, because the mean of its divisors is an integer number (44587830).

Almost surely, 21120640127 is an apocalyptic number.

1120640127 is a deficient number, since it is larger than the sum of its proper divisors (484521753).

1120640127 is an frugal number, since it uses more digits than its factorization.

1120640127 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 300 (or 166 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 24.

The square root of 1120640127 is about 33475.9634215358. The cubic root of 1120640127 is about 1038.6966312412.

The spelling of 1120640127 in words is "one billion, one hundred twenty million, six hundred forty thousand, one hundred twenty-seven".

Divisors: 1 3 29 37 87 97 111 291 1073 1369 2813 3219 3589 4107 8439 9409 10767 28227 39701 104081 119103 132793 272861 312243 348133 398379 818583 1044399 3850997 10095857 11552991 12880921 30287571 38642763 373546709 1120640127