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1242745980 = 223573123079
BaseRepresentation
bin100101000010010…
…1100110001111100
310012121110000222220
41022010230301330
510021120332410
6323152205340
742540111060
oct11204546174
93177400886
101242745980
115885524a3
122a8239850
1316a60cb68
14bb099aa0
1574181070
hex4a12cc7c

1242745980 has 144 divisors (see below), whose sum is σ = 4110543360. Its totient is φ = 274803840.

The previous prime is 1242745979. The next prime is 1242745981. The reversal of 1242745980 is 895472421.

It is an interprime number because it is at equal distance from previous prime (1242745979) and next prime (1242745981).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1242745981) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 402081 + ... + 405159.

It is an arithmetic number, because the mean of its divisors is an integer number (28545440).

Almost surely, 21242745980 is an apocalyptic number.

1242745980 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 1242745980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2055271680).

1242745980 is an abundant number, since it is smaller than the sum of its proper divisors (2867797380).

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

1242745980 is a wasteful number, since it uses less digits than its factorization.

1242745980 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3160 (or 3127 counting only the distinct ones).

The product of its (nonzero) digits is 161280, while the sum is 42.

The square root of 1242745980 is about 35252.6024571236. The cubic root of 1242745980 is about 1075.1295261271.

The spelling of 1242745980 in words is "one billion, two hundred forty-two million, seven hundred forty-five thousand, nine hundred eighty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 31 35 42 60 62 70 84 93 105 124 140 155 186 210 217 310 372 420 434 465 620 651 868 930 961 1085 1302 1860 1922 2170 2604 2883 3079 3255 3844 4340 4805 5766 6158 6510 6727 9237 9610 11532 12316 13020 13454 14415 15395 18474 19220 20181 21553 26908 28830 30790 33635 36948 40362 43106 46185 57660 61580 64659 67270 80724 86212 92370 95449 100905 107765 129318 134540 184740 190898 201810 215530 258636 286347 323295 381796 403620 431060 477245 572694 646590 668143 954490 1145388 1293180 1336286 1431735 1908980 2004429 2672572 2863470 2958919 3340715 4008858 5726940 5917838 6681430 8017716 8876757 10022145 11835676 13362860 14794595 17753514 20044290 20712433 29589190 35507028 40088580 41424866 44383785 59178380 62137299 82849732 88767570 103562165 124274598 177535140 207124330 248549196 310686495 414248660 621372990 1242745980