Search a number
-
+
1242403120 = 245731591213
BaseRepresentation
bin100101000001101…
…1001000100110000
310012120210121200101
41022003121010300
510021023344440
6323141002144
742534152350
oct11203310460
93176717611
101242403120
11588338942
122a80b3354
1316a51ca9a
14bb00ab60
157411469a
hex4a0d9130

1242403120 has 160 divisors (see below), whose sum is σ = 3468349440. Its totient is φ = 404904960.

The previous prime is 1242403117. The next prime is 1242403139. The reversal of 1242403120 is 213042421.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 1023634 + ... + 1024846.

It is an arithmetic number, because the mean of its divisors is an integer number (21677184).

Almost surely, 21242403120 is an apocalyptic number.

1242403120 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 1242403120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1734174720).

1242403120 is an abundant number, since it is smaller than the sum of its proper divisors (2225946320).

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

1242403120 is a wasteful number, since it uses less digits than its factorization.

1242403120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1323 (or 1317 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 19.

The square root of 1242403120 is about 35247.7392182818. The cubic root of 1242403120 is about 1075.0306448809.

Adding to 1242403120 its reverse (213042421), we get a palindrome (1455445541).

The spelling of 1242403120 in words is "one billion, two hundred forty-two million, four hundred three thousand, one hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 31 35 40 56 59 62 70 80 112 118 124 140 155 217 236 248 280 295 310 413 434 472 496 560 590 620 826 868 944 1085 1180 1213 1240 1652 1736 1829 2065 2170 2360 2426 2480 3304 3472 3658 4130 4340 4720 4852 6065 6608 7316 8260 8491 8680 9145 9704 12130 12803 14632 16520 16982 17360 18290 19408 24260 25606 29264 33040 33964 36580 37603 42455 48520 51212 64015 67928 71567 73160 75206 84910 97040 102424 128030 135856 143134 146320 150412 169820 188015 204848 256060 263221 286268 300824 339640 357835 376030 500969 512120 526442 572536 601648 679280 715670 752060 1001938 1024240 1052884 1145072 1316105 1431340 1504120 2003876 2105768 2218577 2504845 2632210 2862680 3008240 4007752 4211536 4437154 5009690 5264420 5725360 8015504 8874308 10019380 10528840 11092885 15530039 17748616 20038760 21057680 22185770 31060078 35497232 40077520 44371540 62120156 77650195 88743080 124240312 155300390 177486160 248480624 310600780 621201560 1242403120