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253443740 = 2251147127193
BaseRepresentation
bin11110001101100…
…11111010011100
3122122220021110012
433012303322130
51004340144430
641052102352
76165144014
oct1706637234
9578807405
10253443740
11120076040
1270a649b8
134067a014
1425934c44
15173b4695
hexf1b3e9c

253443740 has 96 divisors (see below), whose sum is σ = 600735744. Its totient is φ = 89026560.

The previous prime is 253443733. The next prime is 253443761. The reversal of 253443740 is 47344352.

It is a junction number, because it is equal to n+sod(n) for n = 253443697 and 253443706.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1313084 + ... + 1313276.

It is an arithmetic number, because the mean of its divisors is an integer number (6257664).

Almost surely, 2253443740 is an apocalyptic number.

253443740 is a gapful number since it is divisible by the number (20) 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 253443740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (300367872).

253443740 is an abundant number, since it is smaller than the sum of its proper divisors (347292004).

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

253443740 is a wasteful number, since it uses less digits than its factorization.

253443740 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 387 (or 385 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 32.

The square root of 253443740 is about 15919.9164570672. The cubic root of 253443740 is about 632.8399043744.

The spelling of 253443740 in words is "two hundred fifty-three million, four hundred forty-three thousand, seven hundred forty".

Divisors: 1 2 4 5 10 11 20 22 44 47 55 94 110 127 188 193 220 235 254 386 470 508 517 635 772 940 965 1034 1270 1397 1930 2068 2123 2540 2585 2794 3860 4246 5170 5588 5969 6985 8492 9071 10340 10615 11938 13970 18142 21230 23876 24511 27940 29845 36284 42460 45355 49022 59690 65659 90710 98044 99781 119380 122555 131318 181420 199562 245110 262636 269621 328295 399124 490220 498905 539242 656590 997810 1078484 1152017 1313180 1348105 1995620 2304034 2696210 4608068 5392420 5760085 11520170 12672187 23040340 25344374 50688748 63360935 126721870 253443740