Search a number
-
+
10742550 = 2352713787
BaseRepresentation
bin101000111110…
…101100010110
3202012210000020
4220332230112
510222230200
61022130010
7160211250
oct50765426
922183006
1010742550
116078045
123720906
1322c1850
1415d8cd0
15e22ea0
hexa3eb16

10742550 has 96 divisors (see below), whose sum is σ = 32831232. Its totient is φ = 2263680.

The previous prime is 10742539. The next prime is 10742597. The reversal of 10742550 is 5524701.

It is a self number, because there is not a number n which added to its sum of digits gives 10742550.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 13257 + ... + 14043.

It is an arithmetic number, because the mean of its divisors is an integer number (341992).

Almost surely, 210742550 is an apocalyptic number.

10742550 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 10742550, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16415616).

10742550 is an abundant number, since it is smaller than the sum of its proper divisors (22088682).

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

10742550 is a wasteful number, since it uses less digits than its factorization.

10742550 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 822 (or 817 counting only the distinct ones).

The product of its (nonzero) digits is 1400, while the sum is 24.

The square root of 10742550 is about 3277.5829508954. The cubic root of 10742550 is about 220.6492528718.

The spelling of 10742550 in words is "ten million, seven hundred forty-two thousand, five hundred fifty".

Divisors: 1 2 3 5 6 7 10 13 14 15 21 25 26 30 35 39 42 50 65 70 75 78 91 105 130 150 175 182 195 210 273 325 350 390 455 525 546 650 787 910 975 1050 1365 1574 1950 2275 2361 2730 3935 4550 4722 5509 6825 7870 10231 11018 11805 13650 16527 19675 20462 23610 27545 30693 33054 39350 51155 55090 59025 61386 71617 82635 102310 118050 137725 143234 153465 165270 214851 255775 275450 306930 358085 413175 429702 511550 716170 767325 826350 1074255 1534650 1790425 2148510 3580850 5371275 10742550