Search a number
-
+
1242313520 = 245719711261
BaseRepresentation
bin100101000001100…
…0011001100110000
310012120122001202212
41022003003030300
510021013013040
6323135031252
742533330210
oct11203031460
93176561685
101242313520
11588287598
122a806b528
1316a4bb076
14badc6240
15740e7d65
hex4a0c3330

1242313520 has 80 divisors (see below), whose sum is σ = 3318055488. Its totient is φ = 423736320.

The previous prime is 1242313511. The next prime is 1242313529. The reversal of 1242313520 is 253132421.

It is an interprime number because it is at equal distance from previous prime (1242313511) and next prime (1242313529).

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

It is not an unprimeable number, because it can be changed into a prime (1242313529) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 104690 + ... + 115950.

Almost surely, 21242313520 is an apocalyptic number.

1242313520 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 1242313520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1659027744).

1242313520 is an abundant number, since it is smaller than the sum of its proper divisors (2075741968).

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

1242313520 is a wasteful number, since it uses less digits than its factorization.

1242313520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11478 (or 11472 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 23.

The square root of 1242313520 is about 35246.4681918629. The cubic root of 1242313520 is about 1075.0048011323.

Adding to 1242313520 its reverse (253132421), we get a palindrome (1495445941).

The spelling of 1242313520 in words is "one billion, two hundred forty-two million, three hundred thirteen thousand, five hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 35 40 56 70 80 112 140 197 280 394 560 788 985 1379 1576 1970 2758 3152 3940 5516 6895 7880 11032 11261 13790 15760 22064 22522 27580 45044 55160 56305 78827 90088 110320 112610 157654 180176 225220 315308 394135 450440 630616 788270 900880 1261232 1576540 2218417 3153080 4436834 6306160 8873668 11092085 15528919 17747336 22184170 31057838 35494672 44368340 62115676 77644595 88736680 124231352 155289190 177473360 248462704 310578380 621156760 1242313520