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253147830 = 2351319127269
BaseRepresentation
bin11110001011010…
…11101010110110
3122122100020112120
433011223222312
51004301212310
641041500410
76162502215
oct1705535266
9578306476
10253147830
1111a993791
1270941706
13405a5420
142589907c
1517356b70
hexf16bab6

253147830 has 128 divisors (see below), whose sum is σ = 696729600. Its totient is φ = 58351104.

The previous prime is 253147823. The next prime is 253147841. The reversal of 253147830 is 38741352.

It is a junction number, because it is equal to n+sod(n) for n = 253147791 and 253147800.

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 63 ways as a sum of consecutive naturals, for example, 940936 + ... + 941204.

It is an arithmetic number, because the mean of its divisors is an integer number (5443200).

Almost surely, 2253147830 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 253147830, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (348364800).

253147830 is an abundant number, since it is smaller than the sum of its proper divisors (443581770).

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

253147830 is a wasteful number, since it uses less digits than its factorization.

253147830 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 438.

The product of its (nonzero) digits is 20160, while the sum is 33.

The square root of 253147830 is about 15910.6200382009. The cubic root of 253147830 is about 632.5935162493.

The spelling of 253147830 in words is "two hundred fifty-three million, one hundred forty-seven thousand, eight hundred thirty".

Divisors: 1 2 3 5 6 10 13 15 19 26 30 38 39 57 65 78 95 114 127 130 190 195 247 254 269 285 381 390 494 538 570 635 741 762 807 1235 1270 1345 1482 1614 1651 1905 2413 2470 2690 3302 3497 3705 3810 4035 4826 4953 5111 6994 7239 7410 8070 8255 9906 10222 10491 12065 14478 15333 16510 17485 20982 24130 24765 25555 30666 31369 34163 34970 36195 49530 51110 52455 62738 66443 68326 72390 76665 94107 102489 104910 132886 153330 156845 170815 188214 199329 204978 313690 332215 341630 398658 444119 470535 512445 649097 664430 888238 941070 996645 1024890 1298194 1332357 1947291 1993290 2220595 2664714 3245485 3894582 4441190 6490970 6661785 8438261 9736455 13323570 16876522 19472910 25314783 42191305 50629566 84382610 126573915 253147830