Search a number
-
+
1245215440 = 245723110247
BaseRepresentation
bin100101000111000…
…0111101011010000
310012210002111110101
41022032013223100
510022233343230
6323321142144
742600104500
oct11216075320
93183074411
101245215440
11589989877
122a902a954
1316ac95b91
14bb53da00
15744bcaca
hex4a387ad0

1245215440 has 120 divisors (see below), whose sum is σ = 3476777472. Its totient is φ = 413118720.

The previous prime is 1245215437. The next prime is 1245215441. The reversal of 1245215440 is 445125421.

It is a super-2 number, since 2×12452154402 = 3101122984028787200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a junction number, because it is equal to n+sod(n) for n = 1245215399 and 1245215408.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1245215441) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 116397 + ... + 126643.

Almost surely, 21245215440 is an apocalyptic number.

1245215440 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 1245215440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1738388736).

1245215440 is an abundant number, since it is smaller than the sum of its proper divisors (2231562032).

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

1245215440 is a wasteful number, since it uses less digits than its factorization.

1245215440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10305 (or 10292 counting only the distinct ones).

The product of its (nonzero) digits is 6400, while the sum is 28.

The square root of 1245215440 is about 35287.6102902988. The cubic root of 1245215440 is about 1075.8411847618.

The spelling of 1245215440 in words is "one billion, two hundred forty-five million, two hundred fifteen thousand, four hundred forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 31 35 40 49 56 62 70 80 98 112 124 140 155 196 217 245 248 280 310 392 434 490 496 560 620 784 868 980 1085 1240 1519 1736 1960 2170 2480 3038 3472 3920 4340 6076 7595 8680 10247 12152 15190 17360 20494 24304 30380 40988 51235 60760 71729 81976 102470 121520 143458 163952 204940 286916 317657 358645 409880 502103 573832 635314 717290 819760 1004206 1147664 1270628 1434580 1588285 2008412 2223599 2510515 2541256 2869160 3176570 4016824 4447198 5021030 5082512 5738320 6353140 8033648 8894396 10042060 11117995 12706280 15565193 17788792 20084120 22235990 25412560 31130386 35577584 40168240 44471980 62260772 77825965 88943960 124521544 155651930 177887920 249043088 311303860 622607720 1245215440