Search a number
-
+
1392000 = 2735329
BaseRepresentation
bin101010011110110000000
32121201110120
411103312000
5324021000
645500240
714555211
oct5236600
92551416
101392000
11870915
12571680
1339978c
14283408
151c76a0
hex153d80

1392000 has 128 divisors (see below), whose sum is σ = 4773600. Its totient is φ = 358400.

The previous prime is 1391989. The next prime is 1392007. The reversal of 1392000 is 2931.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1392007) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 47986 + ... + 48014.

21392000 is an apocalyptic number.

1392000 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 1392000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2386800).

1392000 is an abundant number, since it is smaller than the sum of its proper divisors (3381600).

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

1392000 is an equidigital number, since it uses as much as digits as its factorization.

1392000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 61 (or 39 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 15.

The square root of 1392000 is about 1179.8304963002. The cubic root of 1392000 is about 111.6554034332.

Subtracting from 1392000 its product of nonzero digits (54), we obtain a triangular number (1391946 = T1668).

Adding to 1392000 its reverse (2931), we get a palindrome (1394931).

The spelling of 1392000 in words is "one million, three hundred ninety-two thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 29 30 32 40 48 50 58 60 64 75 80 87 96 100 116 120 125 128 145 150 160 174 192 200 232 240 250 290 300 320 348 375 384 400 435 464 480 500 580 600 640 696 725 750 800 870 928 960 1000 1160 1200 1392 1450 1500 1600 1740 1856 1920 2000 2175 2320 2400 2784 2900 3000 3200 3480 3625 3712 4000 4350 4640 4800 5568 5800 6000 6960 7250 8000 8700 9280 9600 10875 11136 11600 12000 13920 14500 16000 17400 18560 21750 23200 24000 27840 29000 34800 43500 46400 48000 55680 58000 69600 87000 92800 116000 139200 174000 232000 278400 348000 464000 696000 1392000