Search a number
-
+
1054620 = 22355731
BaseRepresentation
bin100000001011110011100
31222120200000
410001132130
5232221440
634334300
711651460
oct4013634
91876600
101054620
11660396
1242a390
132ac048
141d64a0
1515c730
hex10179c

1054620 has 144 divisors (see below), whose sum is σ = 3913728. Its totient is φ = 233280.

The previous prime is 1054609. The next prime is 1054621. The reversal of 1054620 is 264501.

It is a happy number.

It is a super-2 number, since 2×10546202 = 2224446688800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 1054593 and 1054602.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1054621) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 34005 + ... + 34035.

21054620 is an apocalyptic number.

1054620 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 1054620, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1956864).

1054620 is an abundant number, since it is smaller than the sum of its proper divisors (2859108).

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

1054620 is a wasteful number, since it uses less digits than its factorization.

1054620 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 62 (or 48 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 1054620 is about 1026.9469314429. The cubic root of 1054620 is about 101.7884890419.

The spelling of 1054620 in words is "one million, fifty-four thousand, six hundred twenty".

Divisors: 1 2 3 4 5 6 7 9 10 12 14 15 18 20 21 27 28 30 31 35 36 42 45 54 60 62 63 70 81 84 90 93 105 108 124 126 135 140 155 162 180 186 189 210 217 243 252 270 279 310 315 324 372 378 405 420 434 465 486 540 558 567 620 630 651 756 810 837 868 930 945 972 1085 1116 1134 1215 1260 1302 1395 1620 1674 1701 1860 1890 1953 2170 2268 2430 2511 2604 2790 2835 3255 3348 3402 3780 3906 4185 4340 4860 5022 5580 5670 5859 6510 6804 7533 7812 8370 8505 9765 10044 11340 11718 12555 13020 15066 16740 17010 17577 19530 23436 25110 29295 30132 34020 35154 37665 39060 50220 52731 58590 70308 75330 87885 105462 117180 150660 175770 210924 263655 351540 527310 1054620