Search a number
-
+
1071980 = 2257131931
BaseRepresentation
bin100000101101101101100
32000110110222
410011231230
5233300410
634550512
712053210
oct4055554
92013428
101071980
11672438
12438438
132b6c10
141dc940
15162955
hex105b6c

1071980 has 96 divisors (see below), whose sum is σ = 3010560. Its totient is φ = 311040.

The previous prime is 1071979. The next prime is 1071991. The reversal of 1071980 is 891701.

It is a super-2 number, since 2×10719802 = 2298282240800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 34565 + ... + 34595.

It is an arithmetic number, because the mean of its divisors is an integer number (31360).

21071980 is an apocalyptic number.

1071980 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1071980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1505280).

1071980 is an abundant number, since it is smaller than the sum of its proper divisors (1938580).

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

1071980 is a wasteful number, since it uses less digits than its factorization.

1071980 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 79 (or 77 counting only the distinct ones).

The product of its (nonzero) digits is 504, while the sum is 26.

The square root of 1071980 is about 1035.3646700559. The cubic root of 1071980 is about 102.3439624629.

The spelling of 1071980 in words is "one million, seventy-one thousand, nine hundred eighty".

Divisors: 1 2 4 5 7 10 13 14 19 20 26 28 31 35 38 52 62 65 70 76 91 95 124 130 133 140 155 182 190 217 247 260 266 310 364 380 403 434 455 494 532 589 620 665 806 868 910 988 1085 1178 1235 1330 1612 1729 1820 2015 2170 2356 2470 2660 2821 2945 3458 4030 4123 4340 4940 5642 5890 6916 7657 8060 8246 8645 11284 11780 14105 15314 16492 17290 20615 28210 30628 34580 38285 41230 53599 56420 76570 82460 107198 153140 214396 267995 535990 1071980