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1052880 = 243541107
BaseRepresentation
bin100000001000011010000
31222111021120
410001003100
5232143010
634322240
711643423
oct4010320
91874246
101052880
1165a054
12429380
132ab30a
141d59ba
1515be70
hex1010d0

1052880 has 80 divisors (see below), whose sum is σ = 3374784. Its totient is φ = 271360.

The previous prime is 1052873. The next prime is 1052881. The reversal of 1052880 is 882501.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×10528802 = 2217112588800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 1052880.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1052881) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9787 + ... + 9893.

21052880 is an apocalyptic number.

1052880 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 1052880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1687392).

1052880 is an abundant number, since it is smaller than the sum of its proper divisors (2321904).

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

1052880 is a wasteful number, since it uses less digits than its factorization.

1052880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 164 (or 158 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 24.

The square root of 1052880 is about 1026.0994103887. The cubic root of 1052880 is about 101.7324785152.

The spelling of 1052880 in words is "one million, fifty-two thousand, eight hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 41 48 60 80 82 107 120 123 164 205 214 240 246 321 328 410 428 492 535 615 642 656 820 856 984 1070 1230 1284 1605 1640 1712 1968 2140 2460 2568 3210 3280 4280 4387 4920 5136 6420 8560 8774 9840 12840 13161 17548 21935 25680 26322 35096 43870 52644 65805 70192 87740 105288 131610 175480 210576 263220 350960 526440 1052880