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80272080 = 2433575309
BaseRepresentation
bin1001100100011…
…01101011010000
312121001020121000
410302031223100
5131022201310
611544302000
71663205250
oct462155320
9177036530
1080272080
1141347669
1222a71900
1313827195
14a937960
1570a94c0
hex4c8dad0

80272080 has 160 divisors (see below), whose sum is σ = 316051200. Its totient is φ = 18344448.

The previous prime is 80272067. The next prime is 80272091. The reversal of 80272080 is 8027208.

It is a Harshad number since it is a multiple of its sum of digits (27).

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, 12466 + ... + 17774.

It is an arithmetic number, because the mean of its divisors is an integer number (1975320).

Almost surely, 280272080 is an apocalyptic number.

80272080 is a gapful number since it is divisible by the number (80) 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 80272080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158025600).

80272080 is an abundant number, since it is smaller than the sum of its proper divisors (235779120).

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

80272080 is a wasteful number, since it uses less digits than its factorization.

80272080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5338 (or 5326 counting only the distinct ones).

The product of its (nonzero) digits is 1792, while the sum is 27.

The square root of 80272080 is about 8959.4687342498. The cubic root of 80272080 is about 431.3748674331.

Adding to 80272080 its reverse (8027208), we get a palindrome (88299288).

The spelling of 80272080 in words is "eighty million, two hundred seventy-two thousand, eighty".

Divisors: 1 2 3 4 5 6 7 8 9 10 12 14 15 16 18 20 21 24 27 28 30 35 36 40 42 45 48 54 56 60 63 70 72 80 84 90 105 108 112 120 126 135 140 144 168 180 189 210 216 240 252 270 280 315 336 360 378 420 432 504 540 560 630 720 756 840 945 1008 1080 1260 1512 1680 1890 2160 2520 3024 3780 5040 5309 7560 10618 15120 15927 21236 26545 31854 37163 42472 47781 53090 63708 74326 79635 84944 95562 106180 111489 127416 143343 148652 159270 185815 191124 212360 222978 238905 254832 286686 297304 318540 334467 371630 382248 424720 445956 477810 557445 573372 594608 637080 668934 716715 743260 764496 891912 955620 1003401 1114890 1146744 1274160 1337868 1433430 1486520 1672335 1783824 1911240 2006802 2229780 2293488 2675736 2866860 2973040 3344670 3822480 4013604 4459560 5017005 5351472 5733720 6689340 8027208 8919120 10034010 11467440 13378680 16054416 20068020 26757360 40136040 80272080