Search a number
-
+
71693216 = 2571767281
BaseRepresentation
bin1000100010111…
…11001110100000
311222220101121022
410101133032200
5121323140331
611040345012
71530245060
oct421371640
9158811538
1071693216
11375181a1
1220015168
1311b1242a
1497433a0
15646267b
hex445f3a0

71693216 has 96 divisors (see below), whose sum is σ = 173964672. Its totient is φ = 28385280.

The previous prime is 71693207. The next prime is 71693221. The reversal of 71693216 is 61239617.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 254996 + ... + 255276.

It is an arithmetic number, because the mean of its divisors is an integer number (1812132).

Almost surely, 271693216 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 71693216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86982336).

71693216 is an abundant number, since it is smaller than the sum of its proper divisors (102271456).

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

71693216 is a wasteful number, since it uses less digits than its factorization.

71693216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 382 (or 374 counting only the distinct ones).

The product of its digits is 13608, while the sum is 35.

The square root of 71693216 is about 8467.1846560708. The cubic root of 71693216 is about 415.4250563419.

The spelling of 71693216 in words is "seventy-one million, six hundred ninety-three thousand, two hundred sixteen".

Divisors: 1 2 4 7 8 14 16 17 28 32 34 56 67 68 112 119 134 136 224 238 268 272 281 469 476 536 544 562 938 952 1072 1124 1139 1876 1904 1967 2144 2248 2278 3752 3808 3934 4496 4556 4777 7504 7868 7973 8992 9112 9554 15008 15736 15946 18224 18827 19108 31472 31892 33439 36448 37654 38216 62944 63784 66878 75308 76432 127568 131789 133756 150616 152864 255136 263578 267512 301232 320059 527156 535024 602464 640118 1054312 1070048 1280236 2108624 2240413 2560472 4217248 4480826 5120944 8961652 10241888 17923304 35846608 71693216