Search a number
-
+
1016880 = 243519223
BaseRepresentation
bin11111000010000110000
31220122220020
43320100300
5230020010
633443440
711433444
oct3702060
91818806
101016880
11634aa7
12410580
13297b07
141c6824
15151470
hexf8430

1016880 has 80 divisors (see below), whose sum is σ = 3333120. Its totient is φ = 255744.

The previous prime is 1016879. The next prime is 1016881. The reversal of 1016880 is 886101.

It is an interprime number because it is at equal distance from previous prime (1016879) and next prime (1016881).

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

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

It is a nialpdrome in base 16.

It is a self number, because there is not a number n which added to its sum of digits gives 1016880.

It is not an unprimeable number, because it can be changed into a prime (1016881) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4449 + ... + 4671.

It is an arithmetic number, because the mean of its divisors is an integer number (41664).

21016880 is an apocalyptic number.

1016880 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 1016880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1666560).

1016880 is an abundant number, since it is smaller than the sum of its proper divisors (2316240).

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

1016880 is a wasteful number, since it uses less digits than its factorization.

1016880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 258 (or 252 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 24.

The square root of 1016880 is about 1008.4046806714. The cubic root of 1016880 is about 100.5595300883.

The spelling of 1016880 in words is "one million, sixteen thousand, eight hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 19 20 24 30 38 40 48 57 60 76 80 95 114 120 152 190 223 228 240 285 304 380 446 456 570 669 760 892 912 1115 1140 1338 1520 1784 2230 2280 2676 3345 3568 4237 4460 4560 5352 6690 8474 8920 10704 12711 13380 16948 17840 21185 25422 26760 33896 42370 50844 53520 63555 67792 84740 101688 127110 169480 203376 254220 338960 508440 1016880