Search a number
-
+
1142669840 = 245132223379
BaseRepresentation
bin100010000011011…
…1100001000010000
32221122010122100012
41010012330020100
54320010413330
6305215214052
740213350644
oct10406741020
92848118305
101142669840
11537009844
1227a817328
13152970800
14aba88c24
156a4b3c95
hex441bc210

1142669840 has 120 divisors (see below), whose sum is σ = 2897314560. Its totient is φ = 418908672.

The previous prime is 1142669761. The next prime is 1142669893. The reversal of 1142669840 is 489662411.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3014771 + ... + 3015149.

It is an arithmetic number, because the mean of its divisors is an integer number (24144288).

Almost surely, 21142669840 is an apocalyptic number.

1142669840 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 1142669840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1448657280).

1142669840 is an abundant number, since it is smaller than the sum of its proper divisors (1754644720).

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

1142669840 is a wasteful number, since it uses less digits than its factorization.

1142669840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 641 (or 622 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 41.

The square root of 1142669840 is about 33803.3998290113. The cubic root of 1142669840 is about 1045.4587974943.

The spelling of 1142669840 in words is "one billion, one hundred forty-two million, six hundred sixty-nine thousand, eight hundred forty".

Divisors: 1 2 4 5 8 10 13 16 20 26 40 52 65 80 104 130 169 208 223 260 338 379 446 520 676 758 845 892 1040 1115 1352 1516 1690 1784 1895 2230 2704 2899 3032 3380 3568 3790 4460 4927 5798 6064 6760 7580 8920 9854 11596 13520 14495 15160 17840 19708 23192 24635 28990 30320 37687 39416 46384 49270 57980 64051 75374 78832 84517 98540 115960 128102 150748 169034 188435 197080 231920 256204 301496 320255 338068 376870 394160 422585 512408 602992 640510 676136 753740 845170 1024816 1098721 1281020 1352272 1507480 1690340 2197442 2562040 3014960 3380680 4394884 5124080 5493605 6761360 8789768 10987210 14283373 17579536 21974420 28566746 43948840 57133492 71416865 87897680 114266984 142833730 228533968 285667460 571334920 1142669840