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1057914 = 2331113137
BaseRepresentation
bin100000010010001111010
31222202012000
410002101322
5232323124
634401430
711664204
oct4022172
91882160
101057914
11662910
12430276
132b06b0
141d7774
1515d6c9
hex10247a

1057914 has 64 divisors (see below), whose sum is σ = 2782080. Its totient is φ = 293760.

The previous prime is 1057907. The next prime is 1057919. The reversal of 1057914 is 4197501.

It is a super-2 number, since 2×10579142 = 2238364062792, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1057919) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7654 + ... + 7790.

It is an arithmetic number, because the mean of its divisors is an integer number (43470).

21057914 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1057914, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1391040).

1057914 is an abundant number, since it is smaller than the sum of its proper divisors (1724166).

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

1057914 is a wasteful number, since it uses less digits than its factorization.

1057914 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 172 (or 166 counting only the distinct ones).

The product of its (nonzero) digits is 1260, while the sum is 27.

The square root of 1057914 is about 1028.5494640512. The cubic root of 1057914 is about 101.8943542839.

The spelling of 1057914 in words is "one million, fifty-seven thousand, nine hundred fourteen".

Divisors: 1 2 3 6 9 11 13 18 22 26 27 33 39 54 66 78 99 117 137 143 198 234 274 286 297 351 411 429 594 702 822 858 1233 1287 1507 1781 2466 2574 3014 3562 3699 3861 4521 5343 7398 7722 9042 10686 13563 16029 19591 27126 32058 39182 40689 48087 58773 81378 96174 117546 176319 352638 528957 1057914