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248310620 = 2251931107197
BaseRepresentation
bin11101100110011…
…10101101011100
3122022020111010122
432303032231130
51002031414440
640350054112
76103414445
oct1663165534
9568214118
10248310620
1111818a498
126b1aa338
133c5a077c
1424d9a2cc
1516bed7b5
hexecceb5c

248310620 has 96 divisors (see below), whose sum is σ = 574801920. Its totient is φ = 89752320.

The previous prime is 248310593. The next prime is 248310641. The reversal of 248310620 is 26013842.

It is a self number, because there is not a number n which added to its sum of digits gives 248310620.

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, 1260362 + ... + 1260558.

It is an arithmetic number, because the mean of its divisors is an integer number (5987520).

Almost surely, 2248310620 is an apocalyptic number.

248310620 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 248310620, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (287400960).

248310620 is an abundant number, since it is smaller than the sum of its proper divisors (326491300).

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

248310620 is a wasteful number, since it uses less digits than its factorization.

248310620 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 363 (or 361 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 26.

The square root of 248310620 is about 15757.8748567185. The cubic root of 248310620 is about 628.5383263264.

The spelling of 248310620 in words is "two hundred forty-eight million, three hundred ten thousand, six hundred twenty".

Divisors: 1 2 4 5 10 19 20 31 38 62 76 95 107 124 155 190 197 214 310 380 394 428 535 589 620 788 985 1070 1178 1970 2033 2140 2356 2945 3317 3743 3940 4066 5890 6107 6634 7486 8132 10165 11780 12214 13268 14972 16585 18715 20330 21079 24428 30535 33170 37430 40660 42158 61070 63023 66340 74860 84316 105395 116033 122140 126046 210790 232066 252092 315115 400501 421580 464132 580165 630230 653449 801002 1160330 1260460 1306898 1602004 2002505 2320660 2613796 3267245 4005010 6534490 8010020 12415531 13068980 24831062 49662124 62077655 124155310 248310620