Search a number
-
+
1078492080 = 243523474157
BaseRepresentation
bin100000001001000…
…0111101110110000
32210011101002000010
41000102013232300
54202043221310
6255003454520
735504013531
oct10022075660
92704332003
101078492080
11503865076
12261227440
131425900c3
14a3340688
1564a38320
hex40487bb0

1078492080 has 160 divisors (see below), whose sum is σ = 3563771904. Its totient is φ = 269175808.

The previous prime is 1078492067. The next prime is 1078492081. The reversal of 1078492080 is 802948701.

It is not an unprimeable number, because it can be changed into a prime (1078492081) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 257362 + ... + 261518.

Almost surely, 21078492080 is an apocalyptic number.

1078492080 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 1078492080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1781885952).

1078492080 is an abundant number, since it is smaller than the sum of its proper divisors (2485279824).

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

1078492080 is a wasteful number, since it uses less digits than its factorization.

1078492080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4243 (or 4237 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 39.

The square root of 1078492080 is about 32840.4031643949. The cubic root of 1078492080 is about 1025.5078443176.

The spelling of 1078492080 in words is "one billion, seventy-eight million, four hundred ninety-two thousand, eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 23 24 30 40 46 47 48 60 69 80 92 94 115 120 138 141 184 188 230 235 240 276 282 345 368 376 460 470 552 564 690 705 752 920 940 1081 1104 1128 1380 1410 1840 1880 2162 2256 2760 2820 3243 3760 4157 4324 5405 5520 5640 6486 8314 8648 10810 11280 12471 12972 16215 16628 17296 20785 21620 24942 25944 32430 33256 41570 43240 49884 51888 62355 64860 66512 83140 86480 95611 99768 124710 129720 166280 191222 195379 199536 249420 259440 286833 332560 382444 390758 478055 498840 573666 586137 764888 781516 956110 976895 997680 1147332 1172274 1434165 1529776 1563032 1912220 1953790 2294664 2344548 2868330 2930685 3126064 3824440 3907580 4493717 4589328 4689096 5736660 5861370 7648880 7815160 8987434 9378192 11473320 11722740 13481151 15630320 17974868 22468585 22946640 23445480 26962302 35949736 44937170 46890960 53924604 67405755 71899472 89874340 107849208 134811510 179748680 215698416 269623020 359497360 539246040 1078492080