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1057413 = 37431171
BaseRepresentation
bin100000010001010000101
31222201111110
410002022011
5232314123
634355233
711662560
oct4021205
91881443
101057413
116624a5
1242bb19
132b03b6
141d74d7
1515d493
hex102285

1057413 has 16 divisors (see below), whose sum is σ = 1650176. Its totient is φ = 589680.

The previous prime is 1057411. The next prime is 1057421. The reversal of 1057413 is 3147501.

It is not a de Polignac number, because 1057413 - 21 = 1057411 is a prime.

It is a super-2 number, since 2×10574132 = 2236244505138, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a Duffinian number.

1057413 is a lucky number.

It is a self number, because there is not a number n which added to its sum of digits gives 1057413.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1057411) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 318 + ... + 1488.

It is an arithmetic number, because the mean of its divisors is an integer number (103136).

21057413 is an apocalyptic number.

It is an amenable number.

1057413 is a deficient number, since it is larger than the sum of its proper divisors (592763).

1057413 is a wasteful number, since it uses less digits than its factorization.

1057413 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1224.

The product of its (nonzero) digits is 420, while the sum is 21.

The square root of 1057413 is about 1028.3058883426. The cubic root of 1057413 is about 101.8782669232.

The spelling of 1057413 in words is "one million, fifty-seven thousand, four hundred thirteen".

Divisors: 1 3 7 21 43 129 301 903 1171 3513 8197 24591 50353 151059 352471 1057413