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275105430 = 23352334373
BaseRepresentation
bin10000011001011…
…100011010010110
3201011122210201000
4100121130122112
51030411333210
643144244130
76550233435
oct2031343226
9634583630
10275105430
11131320866
1278170646
1344cc28a2
142877311c
1519242ac0
hex1065c696

275105430 has 64 divisors (see below), whose sum is σ = 736931520. Its totient is φ = 73029888.

The previous prime is 275105423. The next prime is 275105473. The reversal of 275105430 is 34501572.

It is a happy number.

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

It is a junction number, because it is equal to n+sod(n) for n = 275105394 and 275105403.

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 31 ways as a sum of consecutive naturals, for example, 60724 + ... + 65096.

It is an arithmetic number, because the mean of its divisors is an integer number (11514555).

Almost surely, 2275105430 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 275105430, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (368465760).

275105430 is an abundant number, since it is smaller than the sum of its proper divisors (461826090).

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

275105430 is a wasteful number, since it uses less digits than its factorization.

275105430 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4622 (or 4616 counting only the distinct ones).

The product of its (nonzero) digits is 4200, while the sum is 27.

The square root of 275105430 is about 16586.3024812645. The cubic root of 275105430 is about 650.3788166601.

The spelling of 275105430 in words is "two hundred seventy-five million, one hundred five thousand, four hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 90 135 233 270 466 699 1165 1398 2097 2330 3495 4194 4373 6291 6990 8746 10485 12582 13119 20970 21865 26238 31455 39357 43730 62910 65595 78714 118071 131190 196785 236142 393570 590355 1018909 1180710 2037818 3056727 5094545 6113454 9170181 10189090 15283635 18340362 27510543 30567270 45850905 55021086 91701810 137552715 275105430