Search a number
-
+
1076453040 = 243513345017
BaseRepresentation
bin100000000101001…
…0101111010110000
32210000112110222010
41000022111322300
54201032444130
6254452042520
735450462025
oct10012257260
92700473863
101076453040
115026a2113
12260603440
13142027c80
14a2d6d54c
15647840b0
hex40295eb0

1076453040 has 80 divisors (see below), whose sum is σ = 3593707488. Its totient is φ = 264972288.

The previous prime is 1076452997. The next prime is 1076453041. The reversal of 1076453040 is 403546701.

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

It is a super-2 number, since 2×10764530402 = 2317502294650483200, which contains 22 as substring.

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 = 1076452989 and 1076453007.

It is not an unprimeable number, because it can be changed into a prime (1076453041) 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, 169389 + ... + 175628.

Almost surely, 21076453040 is an apocalyptic number.

1076453040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1076453040 is an abundant number, since it is smaller than the sum of its proper divisors (2517254448).

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

1076453040 is a wasteful number, since it uses less digits than its factorization.

1076453040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 345046 (or 345040 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 30.

The square root of 1076453040 is about 32809.3437910605. The cubic root of 1076453040 is about 1024.8611479570.

Adding to 1076453040 its reverse (403546701), we get a palindrome (1479999741).

It can be divided in two parts, 107645 and 3040, that added together give a triangular number (110685 = T470).

The spelling of 1076453040 in words is "one billion, seventy-six million, four hundred fifty-three thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 16 20 24 26 30 39 40 48 52 60 65 78 80 104 120 130 156 195 208 240 260 312 390 520 624 780 1040 1560 3120 345017 690034 1035051 1380068 1725085 2070102 2760136 3450170 4140204 4485221 5175255 5520272 6900340 8280408 8970442 10350510 13455663 13800680 16560816 17940884 20701020 22426105 26911326 27601360 35881768 41402040 44852210 53822652 67278315 71763536 82804080 89704420 107645304 134556630 179408840 215290608 269113260 358817680 538226520 1076453040