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1380000 = 2535423
BaseRepresentation
bin101010000111010100000
32121010000010
411100322200
5323130000
645324520
714505216
oct5207240
92533003
101380000
118628a6
12566740
1339418b
1427ccb6
151c3d50
hex150ea0

1380000 has 120 divisors (see below), whose sum is σ = 4723488. Its totient is φ = 352000.

The previous prime is 1379993. The next prime is 1380007. The reversal of 1380000 is 831.

It is an interprime number because it is at equal distance from previous prime (1379993) and next prime (1380007).

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1380007) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 59989 + ... + 60011.

21380000 is an apocalyptic number.

1380000 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 1380000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2361744).

1380000 is an abundant number, since it is smaller than the sum of its proper divisors (3343488).

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

1380000 is an equidigital number, since it uses as much as digits as its factorization.

1380000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 56 (or 33 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

The square root of 1380000 is about 1174.7340124471. The cubic root of 1380000 is about 111.3336281521. Note that the first 3 decimals are identical.

Adding to 1380000 its reverse (831), we get a palindrome (1380831).

The spelling of 1380000 in words is "one million, three hundred eighty thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 23 24 25 30 32 40 46 48 50 60 69 75 80 92 96 100 115 120 125 138 150 160 184 200 230 240 250 276 300 345 368 375 400 460 480 500 552 575 600 625 690 736 750 800 920 1000 1104 1150 1200 1250 1380 1500 1725 1840 1875 2000 2208 2300 2400 2500 2760 2875 3000 3450 3680 3750 4000 4600 5000 5520 5750 6000 6900 7500 8625 9200 10000 11040 11500 12000 13800 14375 15000 17250 18400 20000 23000 27600 28750 30000 34500 43125 46000 55200 57500 60000 69000 86250 92000 115000 138000 172500 230000 276000 345000 460000 690000 1380000