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1057350 = 235271953
BaseRepresentation
bin100000010001001000110
31222201102010
410002021012
5232313400
634355050
711662440
oct4021106
91881363
101057350
11662448
1242ba86
132b0368
141d7490
1515d450
hex102246

1057350 has 96 divisors (see below), whose sum is σ = 3214080. Its totient is φ = 224640.

The previous prime is 1057307. The next prime is 1057361. The reversal of 1057350 is 537501.

It is a happy number.

It is a super-2 number, since 2×10573502 = 2235978045000, which contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 19924 + ... + 19976.

It is an arithmetic number, because the mean of its divisors is an integer number (33480).

21057350 is an apocalyptic number.

1057350 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1057350, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1607040).

1057350 is an abundant number, since it is smaller than the sum of its proper divisors (2156730).

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

1057350 is a wasteful number, since it uses less digits than its factorization.

1057350 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 94 (or 89 counting only the distinct ones).

The product of its (nonzero) digits is 525, while the sum is 21.

The square root of 1057350 is about 1028.2752549780. The cubic root of 1057350 is about 101.8762436021.

The spelling of 1057350 in words is "one million, fifty-seven thousand, three hundred fifty".

Divisors: 1 2 3 5 6 7 10 14 15 19 21 25 30 35 38 42 50 53 57 70 75 95 105 106 114 133 150 159 175 190 210 265 266 285 318 350 371 399 475 525 530 570 665 742 795 798 950 1007 1050 1113 1325 1330 1425 1590 1855 1995 2014 2226 2650 2850 3021 3325 3710 3975 3990 5035 5565 6042 6650 7049 7950 9275 9975 10070 11130 14098 15105 18550 19950 21147 25175 27825 30210 35245 42294 50350 55650 70490 75525 105735 151050 176225 211470 352450 528675 1057350