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1491920 = 245171097
BaseRepresentation
bin101101100001111010000
32210210112022
411230033100
5340220140
651551012
715452423
oct5541720
92723468
101491920
119299a1
125bb468
134030c1
142ab9ba
151e70b5
hex16c3d0

1491920 has 40 divisors (see below), whose sum is σ = 3676104. Its totient is φ = 561152.

The previous prime is 1491913. The next prime is 1491929. The reversal of 1491920 is 291941.

It can be written as a sum of positive squares in 4 ways, for example, as 183184 + 1308736 = 428^2 + 1144^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a self number, because there is not a number n which added to its sum of digits gives 1491920.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1491929) 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, 812 + ... + 1908.

21491920 is an apocalyptic number.

1491920 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 1491920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1838052).

1491920 is an abundant number, since it is smaller than the sum of its proper divisors (2184184).

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

1491920 is a wasteful number, since it uses less digits than its factorization.

1491920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1127 (or 1121 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 26.

The square root of 1491920 is about 1221.4417710231. The cubic root of 1491920 is about 114.2655142870.

The spelling of 1491920 in words is "one million, four hundred ninety-one thousand, nine hundred twenty".

Divisors: 1 2 4 5 8 10 16 17 20 34 40 68 80 85 136 170 272 340 680 1097 1360 2194 4388 5485 8776 10970 17552 18649 21940 37298 43880 74596 87760 93245 149192 186490 298384 372980 745960 1491920