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1920312 = 2332149179
BaseRepresentation
bin111010100110100111000
310121120011200
413110310320
5442422222
6105054200
722215402
oct7246470
93546150
101920312
1110a1839
12787360
135230a4
1437db72
1527deac
hex1d4d38

1920312 has 48 divisors (see below), whose sum is σ = 5265000. Its totient is φ = 632256.

The previous prime is 1920299. The next prime is 1920343. The reversal of 1920312 is 2130291.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 10639 + ... + 10817.

21920312 is an apocalyptic number.

1920312 is a gapful number since it is divisible by the number (12) 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 1920312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2632500).

1920312 is an abundant number, since it is smaller than the sum of its proper divisors (3344688).

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

1920312 is a wasteful number, since it uses less digits than its factorization.

1920312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 340 (or 333 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

The square root of 1920312 is about 1385.7532247843. The cubic root of 1920312 is about 124.2960322106.

The spelling of 1920312 in words is "one million, nine hundred twenty thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 149 179 298 358 447 537 596 716 894 1074 1192 1341 1432 1611 1788 2148 2682 3222 3576 4296 5364 6444 10728 12888 26671 53342 80013 106684 160026 213368 240039 320052 480078 640104 960156 1920312