Search a number
-
+
2174052540 = 22351118118199
BaseRepresentation
bin1000000110010101…
…0110100010111100
312121111212022102110
42001211112202330
513423024140130
6555421254020
7104606066412
oct20145264274
95544768373
102174052540
11a16217940
12508104310
1328854812a
14168a452b2
15cace3ab0
hex819568bc

2174052540 has 96 divisors (see below), whose sum is σ = 6677798400. Its totient is φ = 524102400.

The previous prime is 2174052521. The next prime is 2174052547. The reversal of 2174052540 is 452504712.

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

It is a junction number, because it is equal to n+sod(n) for n = 2174052498 and 2174052507.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2174052547) 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, 110361 + ... + 128559.

It is an arithmetic number, because the mean of its divisors is an integer number (69560400).

Almost surely, 22174052540 is an apocalyptic number.

2174052540 is a gapful number since it is divisible by the number (20) 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 2174052540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3338899200).

2174052540 is an abundant number, since it is smaller than the sum of its proper divisors (4503745860).

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

2174052540 is a wasteful number, since it uses less digits than its factorization.

2174052540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18403 (or 18401 counting only the distinct ones).

The product of its (nonzero) digits is 11200, while the sum is 30.

The square root of 2174052540 is about 46626.7363215570. The cubic root of 2174052540 is about 1295.4580233623.

The spelling of 2174052540 in words is "two billion, one hundred seventy-four million, fifty-two thousand, five hundred forty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 30 33 44 55 60 66 110 132 165 181 220 330 362 543 660 724 905 1086 1810 1991 2172 2715 3620 3982 5430 5973 7964 9955 10860 11946 18199 19910 23892 29865 36398 39820 54597 59730 72796 90995 109194 119460 181990 200189 218388 272985 363980 400378 545970 600567 800756 1000945 1091940 1201134 2001890 2402268 3002835 3294019 4003780 6005670 6588038 9882057 12011340 13176076 16470095 19764114 32940190 36234209 39528228 49410285 65880380 72468418 98820570 108702627 144936836 181171045 197641140 217405254 362342090 434810508 543513135 724684180 1087026270 2174052540