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1949920 = 25571741
BaseRepresentation
bin111011100000011100000
310200001210021
413130003200
5444344140
6105443224
722400620
oct7340340
93601707
101949920
111112005
127a0514
135336cb
1438a880
15287b4a
hex1dc0e0

1949920 has 48 divisors (see below), whose sum is σ = 5267808. Its totient is φ = 668160.

The previous prime is 1949911. The next prime is 1949929. The reversal of 1949920 is 299491.

It is an interprime number because it is at equal distance from previous prime (1949911) and next prime (1949929).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1949929) 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, 250 + ... + 1990.

It is an arithmetic number, because the mean of its divisors is an integer number (109746).

21949920 is an apocalyptic number.

1949920 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 1949920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2633904).

1949920 is an abundant number, since it is smaller than the sum of its proper divisors (3317888).

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

1949920 is a wasteful number, since it uses less digits than its factorization.

1949920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1763 (or 1755 counting only the distinct ones).

The product of its (nonzero) digits is 5832, while the sum is 34.

The square root of 1949920 is about 1396.3953594881. The cubic root of 1949920 is about 124.9315892332.

The spelling of 1949920 in words is "one million, nine hundred forty-nine thousand, nine hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 56 70 80 112 140 160 224 280 560 1120 1741 3482 6964 8705 12187 13928 17410 24374 27856 34820 48748 55712 60935 69640 97496 121870 139280 194992 243740 278560 389984 487480 974960 1949920