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1077218041 = 23214272
BaseRepresentation
bin100000000110101…
…0000101011111001
32210001222100100111
41000031100223321
54201231434131
6254520304321
735460126244
oct10015205371
92701870314
101077218041
11503074949
122609120a1
13142235233
14a30cc25b
1564885ab1
hex40350af9

1077218041 has 9 divisors (see below), whose sum is σ = 1126879621. Its totient is φ = 1029660412.

The previous prime is 1077218029. The next prime is 1077218059. The reversal of 1077218041 is 1408127701.

The square root of 1077218041 is 32821.

It is a perfect power (a square), and thus also a powerful number.

It is not a de Polignac number, because 1077218041 - 213 = 1077209849 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 1077217994 and 1077218012.

It is not an unprimeable number, because it can be changed into a prime (1077218011) 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 8 ways as a sum of consecutive naturals, for example, 754170 + ... + 755596.

Almost surely, 21077218041 is an apocalyptic number.

1077218041 is the 32821-st square number.

1077218041 is the 16411-st centered octagonal number.

It is an amenable number.

1077218041 is a deficient number, since it is larger than the sum of its proper divisors (49661580).

1077218041 is an frugal number, since it uses more digits than its factorization.

1077218041 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2900 (or 1450 counting only the distinct ones).

The product of its (nonzero) digits is 3136, while the sum is 31.

The cubic root of 1077218041 is about 1025.1038692281.

Multiplying 1077218041 by its product of nonzero digits (3136), we get a square (3378155776576 = 18379762).

The spelling of 1077218041 in words is "one billion, seventy-seven million, two hundred eighteen thousand, forty-one".

Divisors: 1 23 529 1427 32821 754883 2036329 46835567 1077218041