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1327148214 = 237171997829
BaseRepresentation
bin100111100011010…
…1010110010110110
310102111021010002120
41033012222302312
510204222220324
6335405220410
744613400530
oct11706526266
93374233076
101327148214
11621160107
12310561706
13181c51c02
14c838a850
157b7a4179
hex4f1aacb6

1327148214 has 64 divisors (see below), whose sum is σ = 3381004800. Its totient is φ = 338093568.

The previous prime is 1327148167. The next prime is 1327148219. The reversal of 1327148214 is 4128417231.

It is a super-2 number, since 2×13271482142 = 3522644763846779592, which contains 22 as substring.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1327148219) 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 31 ways as a sum of consecutive naturals, for example, 35349 + ... + 62480.

It is an arithmetic number, because the mean of its divisors is an integer number (52828200).

Almost surely, 21327148214 is an apocalyptic number.

1327148214 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

1327148214 is an abundant number, since it is smaller than the sum of its proper divisors (2053856586).

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

1327148214 is a wasteful number, since it uses less digits than its factorization.

1327148214 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 97877.

The product of its digits is 10752, while the sum is 33.

The square root of 1327148214 is about 36430.0454844624. The cubic root of 1327148214 is about 1098.9378767076.

The spelling of 1327148214 in words is "one billion, three hundred twenty-seven million, one hundred forty-eight thousand, two hundred fourteen".

Divisors: 1 2 3 6 7 14 17 19 21 34 38 42 51 57 102 114 119 133 238 266 323 357 399 646 714 798 969 1938 2261 4522 6783 13566 97829 195658 293487 586974 684803 1369606 1663093 1858751 2054409 3326186 3717502 4108818 4989279 5576253 9978558 11152506 11641651 13011257 23283302 26022514 31598767 34924953 39033771 63197534 69849906 78067542 94796301 189592602 221191369 442382738 663574107 1327148214