Search a number
-
+
71983912 = 237111389101
BaseRepresentation
bin1000100101001…
…10001100101000
312000110011100211
410102212030220
5121411441122
611050510504
71532565430
oct422461450
9160404324
1071983912
11376a6640
1220135434
1311bb4840
1497bb2c0
1564bd877
hex44a6328

71983912 has 128 divisors (see below), whose sum is σ = 185068800. Its totient is φ = 25344000.

The previous prime is 71983903. The next prime is 71983921. The reversal of 71983912 is 21938917.

It is an interprime number because it is at equal distance from previous prime (71983903) and next prime (71983921).

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, 712662 + ... + 712762.

It is an arithmetic number, because the mean of its divisors is an integer number (1445850).

It is a vampire number, since it can be written as 78329191 (with its own digits).

Almost surely, 271983912 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 71983912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92534400).

71983912 is an abundant number, since it is smaller than the sum of its proper divisors (113084888).

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

71983912 is a wasteful number, since it uses less digits than its factorization.

71983912 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 227 (or 223 counting only the distinct ones).

The product of its digits is 27216, while the sum is 40.

The square root of 71983912 is about 8484.3333267853. Note that the first 4 decimals coincide. The cubic root of 71983912 is about 415.9857767573.

The spelling of 71983912 in words is "seventy-one million, nine hundred eighty-three thousand, nine hundred twelve".

Divisors: 1 2 4 7 8 11 13 14 22 26 28 44 52 56 77 88 89 91 101 104 143 154 178 182 202 286 308 356 364 404 572 616 623 707 712 728 808 979 1001 1111 1144 1157 1246 1313 1414 1958 2002 2222 2314 2492 2626 2828 3916 4004 4444 4628 4984 5252 5656 6853 7777 7832 8008 8099 8888 8989 9191 9256 10504 12727 13706 14443 15554 16198 17978 18382 25454 27412 28886 31108 32396 35956 36764 50908 54824 57772 62216 62923 64792 71912 73528 89089 98879 101101 101816 115544 116857 125846 178178 197758 202202 233714 251692 356356 395516 404404 467428 503384 692153 712712 791032 808808 817999 934856 1285427 1384306 1635998 2570854 2768612 3271996 5141708 5537224 6543992 8997989 10283416 17995978 35991956 71983912