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742000 = 2453753
BaseRepresentation
bin10110101001001110000
31101200211111
42311021300
5142221000
623523104
76210160
oct2651160
91350744
10742000
11467526
122b9494
131cc96c
141545a0
15e9cba
hexb5270

742000 has 80 divisors (see below), whose sum is σ = 2089152. Its totient is φ = 249600.

The previous prime is 741991. The next prime is 742009. The reversal of 742000 is 247.

It is an interprime number because it is at equal distance from previous prime (741991) and next prime (742009).

It is a tau number, because it is divible by the number of its divisors (80).

It is a nialpdrome in base 10.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (742009) by changing a digit.

742000 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 13974 + ... + 14026.

2742000 is an apocalyptic number.

742000 is a gapful number since it is divisible by the number (70) 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 742000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1044576).

742000 is an abundant number, since it is smaller than the sum of its proper divisors (1347152).

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

742000 is a wasteful number, since it uses less digits than its factorization.

742000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 83 (or 67 counting only the distinct ones).

The product of its (nonzero) digits is 56, while the sum is 13.

The square root of 742000 is about 861.3942186943. The cubic root of 742000 is about 90.5318305257.

Adding to 742000 its reverse (247), we get a palindrome (742247).

The spelling of 742000 in words is "seven hundred forty-two thousand", and thus it is an iban number.

Divisors: 1 2 4 5 7 8 10 14 16 20 25 28 35 40 50 53 56 70 80 100 106 112 125 140 175 200 212 250 265 280 350 371 400 424 500 530 560 700 742 848 875 1000 1060 1325 1400 1484 1750 1855 2000 2120 2650 2800 2968 3500 3710 4240 5300 5936 6625 7000 7420 9275 10600 13250 14000 14840 18550 21200 26500 29680 37100 46375 53000 74200 92750 106000 148400 185500 371000 742000