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1332968880 = 243547118171
BaseRepresentation
bin100111101110011…
…0111110110110000
310102220012211112210
41033130313312300
510212220001010
6340134052120
745014022435
oct11734676660
93386184483
101332968880
11624476281
123124aa040
1318320c3a9
14c9063b8c
157c053b20
hex4f737db0

1332968880 has 80 divisors (see below), whose sum is σ = 4220158464. Its totient is φ = 347892480.

The previous prime is 1332968863. The next prime is 1332968881. The reversal of 1332968880 is 888692331.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (1332968881) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 47806 + ... + 70365.

Almost surely, 21332968880 is an apocalyptic number.

1332968880 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1332968880 is an abundant number, since it is smaller than the sum of its proper divisors (2887189584).

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

1332968880 is a wasteful number, since it uses less digits than its factorization.

1332968880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 118234 (or 118228 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 48.

The square root of 1332968880 is about 36509.8463431442. The cubic root of 1332968880 is about 1100.5421239603.

The spelling of 1332968880 in words is "one billion, three hundred thirty-two million, nine hundred sixty-eight thousand, eight hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 47 48 60 80 94 120 141 188 235 240 282 376 470 564 705 752 940 1128 1410 1880 2256 2820 3760 5640 11280 118171 236342 354513 472684 590855 709026 945368 1181710 1418052 1772565 1890736 2363420 2836104 3545130 4726840 5554037 5672208 7090260 9453680 11108074 14180520 16662111 22216148 27770185 28361040 33324222 44432296 55540370 66648444 83310555 88864592 111080740 133296888 166621110 222161480 266593776 333242220 444322960 666484440 1332968880