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1930880 = 2757431
BaseRepresentation
bin111010111011010000000
310122002200002
413113122000
5443242010
6105215132
722261250
oct7273200
93562602
101930880
1110a9776
127914a8
13527b43
14383960
152821a5
hex1d7680

1930880 has 64 divisors (see below), whose sum is σ = 5287680. Its totient is φ = 660480.

The previous prime is 1930879. The next prime is 1930883. The reversal of 1930880 is 880391.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (64).

It is not an unprimeable number, because it can be changed into a prime (1930883) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4265 + ... + 4695.

It is an arithmetic number, because the mean of its divisors is an integer number (82620).

21930880 is an apocalyptic number.

1930880 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 1930880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2643840).

1930880 is an abundant number, since it is smaller than the sum of its proper divisors (3356800).

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

1930880 is an equidigital number, since it uses as much as digits as its factorization.

1930880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 457 (or 445 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 29.

The square root of 1930880 is about 1389.5610817809. The cubic root of 1930880 is about 124.5236268552.

The spelling of 1930880 in words is "one million, nine hundred thirty thousand, eight hundred eighty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 56 64 70 80 112 128 140 160 224 280 320 431 448 560 640 862 896 1120 1724 2155 2240 3017 3448 4310 4480 6034 6896 8620 12068 13792 15085 17240 24136 27584 30170 34480 48272 55168 60340 68960 96544 120680 137920 193088 241360 275840 386176 482720 965440 1930880