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1057350073 = 13378232671
BaseRepresentation
bin111111000001011…
…110000110111001
32201200120221121211
4333001132012321
54131140200243
6252530403121
735126220163
oct7701360671
92650527554
101057350073
114a293483a
122561304a1
1313b099c40
14a05d9933
1562c5dd9d
hex3f05e1b9

1057350073 has 16 divisors (see below), whose sum is σ = 1171319296. Its totient is φ = 948127680.

The previous prime is 1057350029. The next prime is 1057350079. The reversal of 1057350073 is 3700537501.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 1057350073 - 221 = 1055252921 is a prime.

It is a super-3 number, since 3×10573500733 (a number of 28 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1057350079) 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 15 ways as a sum of consecutive naturals, for example, 394528 + ... + 397198.

It is an arithmetic number, because the mean of its divisors is an integer number (73207456).

Almost surely, 21057350073 is an apocalyptic number.

1057350073 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

1057350073 is a deficient number, since it is larger than the sum of its proper divisors (113969223).

1057350073 is a wasteful number, since it uses less digits than its factorization.

1057350073 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3544.

The product of its (nonzero) digits is 11025, while the sum is 31.

The square root of 1057350073 is about 32516.9197957002. The cubic root of 1057350073 is about 1018.7624594660.

Adding to 1057350073 its reverse (3700537501), we get a palindrome (4757887574).

The spelling of 1057350073 in words is "one billion, fifty-seven million, three hundred fifty thousand, seventy-three".

Divisors: 1 13 37 481 823 2671 10699 30451 34723 98827 395863 1284751 2198233 28577029 81334621 1057350073