Search a number
-
+
71683780 = 22573183199
BaseRepresentation
bin1000100010111…
…00111011000100
311222212220122211
410101130323010
5121322340110
611040233204
71530205420
oct421347304
9158786584
1071683780
11375110a3
122000b804
1311b0b04c
14973db80
15645e98a
hex445cec4

71683780 has 96 divisors (see below), whose sum is σ = 180633600. Its totient is φ = 23379840.

The previous prime is 71683757. The next prime is 71683793. The reversal of 71683780 is 8738617.

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, 360121 + ... + 360319.

It is an arithmetic number, because the mean of its divisors is an integer number (1881600).

Almost surely, 271683780 is an apocalyptic number.

71683780 is a gapful number since it is divisible by the number (70) 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 71683780, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90316800).

71683780 is an abundant number, since it is smaller than the sum of its proper divisors (108949820).

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

71683780 is a wasteful number, since it uses less digits than its factorization.

71683780 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 329 (or 327 counting only the distinct ones).

The product of its (nonzero) digits is 56448, while the sum is 40.

The square root of 71683780 is about 8466.6274277306. The cubic root of 71683780 is about 415.4068299646.

The spelling of 71683780 in words is "seventy-one million, six hundred eighty-three thousand, seven hundred eighty".

Divisors: 1 2 4 5 7 10 14 20 28 31 35 62 70 83 124 140 155 166 199 217 310 332 398 415 434 581 620 796 830 868 995 1085 1162 1393 1660 1990 2170 2324 2573 2786 2905 3980 4340 5146 5572 5810 6169 6965 10292 11620 12338 12865 13930 16517 18011 24676 25730 27860 30845 33034 36022 43183 51460 61690 66068 72044 82585 86366 90055 115619 123380 165170 172732 180110 215915 231238 330340 360220 431830 462476 512027 578095 863660 1024054 1156190 2048108 2312380 2560135 3584189 5120270 7168378 10240540 14336756 17920945 35841890 71683780