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1332261280 = 255710711117
BaseRepresentation
bin100111101101000…
…1011000110100000
310102211212212220101
41033122023012200
510212024330110
6340110552144
745005014450
oct11732130640
93384785811
101332261280
11624032689
12312208654
131830222ac
14c8d1bd60
157be6413a
hex4f68b1a0

1332261280 has 96 divisors (see below), whose sum is σ = 3631049856. Its totient is φ = 452465664.

The previous prime is 1332261277. The next prime is 1332261313. The reversal of 1332261280 is 821622331.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 114282 + ... + 125398.

It is an arithmetic number, because the mean of its divisors is an integer number (37823436).

Almost surely, 21332261280 is an apocalyptic number.

1332261280 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 1332261280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1815524928).

1332261280 is an abundant number, since it is smaller than the sum of its proper divisors (2298788576).

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

1332261280 is a wasteful number, since it uses less digits than its factorization.

1332261280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11246 (or 11238 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 28.

The square root of 1332261280 is about 36500.1545202209. The cubic root of 1332261280 is about 1100.3473503597.

The spelling of 1332261280 in words is "one billion, three hundred thirty-two million, two hundred sixty-one thousand, two hundred eighty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 56 70 80 107 112 140 160 214 224 280 428 535 560 749 856 1070 1120 1498 1712 2140 2996 3424 3745 4280 5992 7490 8560 11117 11984 14980 17120 22234 23968 29960 44468 55585 59920 77819 88936 111170 119840 155638 177872 222340 311276 355744 389095 444680 622552 778190 889360 1189519 1245104 1556380 1778720 2379038 2490208 3112760 4758076 5947595 6225520 8326633 9516152 11895190 12451040 16653266 19032304 23790380 33306532 38064608 41633165 47580760 66613064 83266330 95161520 133226128 166532660 190323040 266452256 333065320 666130640 1332261280