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253096280 = 23537414397
BaseRepresentation
bin11110001010111…
…11000101011000
3122122020121211022
433011133011120
51004243040110
641040422012
76162166013
oct1705370530
9578217738
10253096280
1111a958a88
1270917908
1340587b18
142588437a
1517346755
hexf15f158

253096280 has 128 divisors (see below), whose sum is σ = 619375680. Its totient is φ = 92897280.

The previous prime is 253096273. The next prime is 253096309. The reversal of 253096280 is 82690352.

It is a Cunningham number, because it is equal to 159092-1.

It is a self number, because there is not a number n which added to its sum of digits gives 253096280.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2609192 + ... + 2609288.

Almost surely, 2253096280 is an apocalyptic number.

253096280 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 253096280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (309687840).

253096280 is an abundant number, since it is smaller than the sum of its proper divisors (366279400).

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

253096280 is a wasteful number, since it uses less digits than its factorization.

253096280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 229 (or 225 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 35.

The square root of 253096280 is about 15908.9999685712. Note that the first 4 decimals coincide. The cubic root of 253096280 is about 632.5505737394.

The spelling of 253096280 in words is "two hundred fifty-three million, ninety-six thousand, two hundred eighty".

Divisors: 1 2 4 5 8 10 20 37 40 41 43 74 82 86 97 148 164 172 185 194 205 215 296 328 344 370 388 410 430 485 740 776 820 860 970 1480 1517 1591 1640 1720 1763 1940 3034 3182 3526 3589 3880 3977 4171 6068 6364 7052 7178 7585 7954 7955 8342 8815 12136 12728 14104 14356 15170 15908 15910 16684 17630 17945 19885 20855 28712 30340 31816 31820 33368 35260 35890 39770 41710 60680 63640 65231 70520 71780 79540 83420 130462 143560 147149 154327 159080 166840 171011 260924 294298 308654 326155 342022 521848 588596 617308 652310 684044 735745 771635 855055 1177192 1234616 1304620 1368088 1471490 1543270 1710110 2609240 2942980 3086540 3420220 5885960 6173080 6327407 6840440 12654814 25309628 31637035 50619256 63274070 126548140 253096280