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1446983680 = 2115141307
BaseRepresentation
bin101011000111111…
…0011100000000000
310201211202101110011
41112033303200000
510430411434210
6355325514304
750600105212
oct12617634000
93654671404
101446983680
1168286a28a
12344712994
131a0a1bc7c
14da2625b2
1587075d8a
hex563f3800

1446983680 has 48 divisors (see below), whose sum is σ = 3471937560. Its totient is φ = 578789376.

The previous prime is 1446983677. The next prime is 1446983711. The reversal of 1446983680 is 863896441.

It is a super-3 number, since 3×14469836803 (a number of 28 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 60414 + ... + 80893.

Almost surely, 21446983680 is an apocalyptic number.

1446983680 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1446983680 is an abundant number, since it is smaller than the sum of its proper divisors (2024953880).

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

1446983680 is an equidigital number, since it uses as much as digits as its factorization.

1446983680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 141334 (or 141314 counting only the distinct ones).

The product of its (nonzero) digits is 995328, while the sum is 49.

The square root of 1446983680 is about 38039.2386884911. The cubic root of 1446983680 is about 1131.0658176991.

The spelling of 1446983680 in words is "one billion, four hundred forty-six million, nine hundred eighty-three thousand, six hundred eighty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 256 320 512 640 1024 1280 2048 2560 5120 10240 141307 282614 565228 706535 1130456 1413070 2260912 2826140 4521824 5652280 9043648 11304560 18087296 22609120 36174592 45218240 72349184 90436480 144698368 180872960 289396736 361745920 723491840 1446983680