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1214670480 = 2435231971117
BaseRepresentation
bin100100001100110…
…0110011010010000
310010122121122122120
41020121212122100
54441423423410
6320310334240
742046346232
oct11031463220
93118548576
101214670480
11573716a01
1229a95a380
1316485cb3a
14b746c252
1571987570
hex48666690

1214670480 has 160 divisors (see below), whose sum is σ = 3952675584. Its totient is φ = 307980288.

The previous prime is 1214670473. The next prime is 1214670557. The reversal of 1214670480 is 840764121.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1086882 + ... + 1087998.

Almost surely, 21214670480 is an apocalyptic number.

1214670480 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 1214670480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1976337792).

1214670480 is an abundant number, since it is smaller than the sum of its proper divisors (2738005104).

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

1214670480 is a wasteful number, since it uses less digits than its factorization.

1214670480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1353 (or 1347 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 33.

The square root of 1214670480 is about 34852.1230343289. The cubic root of 1214670480 is about 1066.9715161654.

The spelling of 1214670480 in words is "one billion, two hundred fourteen million, six hundred seventy thousand, four hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 23 24 30 40 46 48 60 69 80 92 115 120 138 184 197 230 240 276 345 368 394 460 552 591 690 788 920 985 1104 1117 1182 1380 1576 1840 1970 2234 2364 2760 2955 3152 3351 3940 4468 4531 4728 5520 5585 5910 6702 7880 8936 9062 9456 11170 11820 13404 13593 15760 16755 17872 18124 22340 22655 23640 25691 26808 27186 33510 36248 44680 45310 47280 51382 53616 54372 67020 67965 72496 77073 89360 90620 102764 108744 128455 134040 135930 154146 181240 205528 217488 220049 256910 268080 271860 308292 362480 385365 411056 440098 513820 543720 616584 660147 770730 880196 1027640 1087440 1100245 1233168 1320294 1541460 1760392 2055280 2200490 2640588 3082920 3300735 3520784 4400980 5061127 5281176 6165840 6601470 8801960 10122254 10562352 13202940 15183381 17603920 20244508 25305635 26405880 30366762 40489016 50611270 52811760 60733524 75916905 80978032 101222540 121467048 151833810 202445080 242934096 303667620 404890160 607335240 1214670480