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248134680 = 233251936277
BaseRepresentation
bin11101100101000…
…11110000011000
3122021220112210100
432302203300120
51002010302210
640342215400
76102052503
oct1662436030
9567815710
10248134680
1111807a292
126b124560
133c53b671
1424d5213a
1516bb65c0
hexeca3c18

248134680 has 96 divisors (see below), whose sum is σ = 848905200. Its totient is φ = 62684928.

The previous prime is 248134673. The next prime is 248134687. The reversal of 248134680 is 86431842.

It is an interprime number because it is at equal distance from previous prime (248134673) and next prime (248134687).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (248134687) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 11299 + ... + 24978.

Almost surely, 2248134680 is an apocalyptic number.

248134680 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

248134680 is an abundant number, since it is smaller than the sum of its proper divisors (600770520).

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

248134680 is a wasteful number, since it uses less digits than its factorization.

248134680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36313 (or 36306 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The square root of 248134680 is about 15752.2912619085. The cubic root of 248134680 is about 628.3898413876.

The spelling of 248134680 in words is "two hundred forty-eight million, one hundred thirty-four thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 19 20 24 30 36 38 40 45 57 60 72 76 90 95 114 120 152 171 180 190 228 285 342 360 380 456 570 684 760 855 1140 1368 1710 2280 3420 6840 36277 72554 108831 145108 181385 217662 290216 326493 362770 435324 544155 652986 689263 725540 870648 1088310 1305972 1378526 1451080 1632465 2067789 2176620 2611944 2757052 3264930 3446315 4135578 4353240 5514104 6203367 6529860 6892630 8271156 10338945 12406734 13059720 13785260 16542312 20677890 24813468 27570520 31016835 41355780 49626936 62033670 82711560 124067340 248134680