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921382380 = 2232510349697
BaseRepresentation
bin110110111010110…
…010110111101100
32101012202002000100
4312322302313230
53341333214010
6231232231100
731555423002
oct6672626754
92335662010
10921382380
11433107246
1221869b490
13118b72099
148a524a72
1555d522c0
hex36eb2dec

921382380 has 72 divisors (see below), whose sum is σ = 2822051232. Its totient is φ = 243311616.

The previous prime is 921382327. The next prime is 921382411. The reversal of 921382380 is 83283129.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 6309 + ... + 43388.

It is an arithmetic number, because the mean of its divisors is an integer number (39195156).

Almost surely, 2921382380 is an apocalyptic number.

921382380 is a gapful number since it is divisible by the number (90) 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 921382380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1411025616).

921382380 is an abundant number, since it is smaller than the sum of its proper divisors (1900668852).

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

921382380 is a wasteful number, since it uses less digits than its factorization.

921382380 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49815 (or 49810 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 921382380 is about 30354.2810819166. The cubic root of 921382380 is about 973.0757155305.

The spelling of 921382380 in words is "nine hundred twenty-one million, three hundred eighty-two thousand, three hundred eighty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 103 180 206 309 412 515 618 927 1030 1236 1545 1854 2060 3090 3708 4635 6180 9270 18540 49697 99394 149091 198788 248485 298182 447273 496970 596364 745455 894546 993940 1490910 1789092 2236365 2981820 4472730 5118791 8945460 10237582 15356373 20475164 25593955 30712746 46069119 51187910 61425492 76781865 92138238 102375820 153563730 184276476 230345595 307127460 460691190 921382380