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1057980 = 2235711229
BaseRepresentation
bin100000010010010111100
31222202021110
410002102330
5232323410
634402020
711664330
oct4022274
91882243
101057980
11662970
12430310
132b0731
141d77c0
1515d720
hex1024bc

1057980 has 96 divisors (see below), whose sum is σ = 3709440. Its totient is φ = 218880.

The previous prime is 1057963. The next prime is 1057981. The reversal of 1057980 is 897501.

1057980 = T168 + T169 + ... + T222.

It is a super-2 number, since 2×10579802 = 2238643360800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1057981) 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, 4506 + ... + 4734.

It is an arithmetic number, because the mean of its divisors is an integer number (38640).

21057980 is an apocalyptic number.

1057980 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1057980 is the 840-th pentagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1057980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1854720).

1057980 is an abundant number, since it is smaller than the sum of its proper divisors (2651460).

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

1057980 is a wasteful number, since it uses less digits than its factorization.

1057980 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 259 (or 257 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 30.

The square root of 1057980 is about 1028.5815475693. The cubic root of 1057980 is about 101.8964731982.

The spelling of 1057980 in words is "one million, fifty-seven thousand, nine hundred eighty".

Divisors: 1 2 3 4 5 6 7 10 11 12 14 15 20 21 22 28 30 33 35 42 44 55 60 66 70 77 84 105 110 132 140 154 165 210 220 229 231 308 330 385 420 458 462 660 687 770 916 924 1145 1155 1374 1540 1603 2290 2310 2519 2748 3206 3435 4580 4620 4809 5038 6412 6870 7557 8015 9618 10076 12595 13740 15114 16030 17633 19236 24045 25190 30228 32060 35266 37785 48090 50380 52899 70532 75570 88165 96180 105798 151140 176330 211596 264495 352660 528990 1057980