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742770 = 23457131
BaseRepresentation
bin10110101010101110010
31101201220000
42311111302
5142232040
623530430
76212340
oct2652562
91351800
10742770
11468066
122b9a16
13200112
14154990
15ea130
hexb5572

742770 has 80 divisors (see below), whose sum is σ = 2299968. Its totient is φ = 168480.

The previous prime is 742759. The next prime is 742783. The reversal of 742770 is 77247.

It is a happy number.

742770 is nontrivially palindromic in base 8.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

742770 is an untouchable number, because it is not equal to the sum of proper divisors of any 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 39 ways as a sum of consecutive naturals, for example, 5605 + ... + 5735.

2742770 is an apocalyptic number.

742770 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 742770, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1149984).

742770 is an abundant number, since it is smaller than the sum of its proper divisors (1557198).

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

742770 is a wasteful number, since it uses less digits than its factorization.

742770 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 157 (or 148 counting only the distinct ones).

The product of its (nonzero) digits is 2744, while the sum is 27.

The square root of 742770 is about 861.8410526309. The cubic root of 742770 is about 90.5631357413.

The spelling of 742770 in words is "seven hundred forty-two thousand, seven hundred seventy", and thus it is an iban number.

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 27 30 35 42 45 54 63 70 81 90 105 126 131 135 162 189 210 262 270 315 378 393 405 567 630 655 786 810 917 945 1134 1179 1310 1834 1890 1965 2358 2751 2835 3537 3930 4585 5502 5670 5895 7074 8253 9170 10611 11790 13755 16506 17685 21222 24759 27510 35370 41265 49518 53055 74277 82530 106110 123795 148554 247590 371385 742770