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71364096 = 293217911
BaseRepresentation
bin1000100000011…
…10111000000000
311222021200010200
410100032320000
5121232122341
611025325200
71524404406
oct420167000
9158250120
1071364096
11373129a1
121ba96800
1311a2869b
149699476
1563e9db6
hex440ee00

71364096 has 120 divisors (see below), whose sum is σ = 218316384. Its totient is φ = 22364160.

The previous prime is 71364089. The next prime is 71364103. The reversal of 71364096 is 69046317.

71364096 is a `hidden beast` number, since 7 + 1 + 3 + 640 + 9 + 6 = 666.

It is an interprime number because it is at equal distance from previous prime (71364089) and next prime (71364103).

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

It is a self number, because there is not a number n which added to its sum of digits gives 71364096.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 77881 + ... + 78791.

Almost surely, 271364096 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 71364096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109158192).

71364096 is an abundant number, since it is smaller than the sum of its proper divisors (146952288).

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

71364096 is a wasteful number, since it uses less digits than its factorization.

71364096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 952 (or 933 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 36.

The square root of 71364096 is about 8447.7272683249. The cubic root of 71364096 is about 414.7883877848.

The spelling of 71364096 in words is "seventy-one million, three hundred sixty-four thousand, ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 32 34 36 48 51 64 68 72 96 102 128 136 144 153 192 204 256 272 288 306 384 408 512 544 576 612 768 816 911 1088 1152 1224 1536 1632 1822 2176 2304 2448 2733 3264 3644 4352 4608 4896 5466 6528 7288 8199 8704 9792 10932 13056 14576 15487 16398 19584 21864 26112 29152 30974 32796 39168 43728 46461 58304 61948 65592 78336 87456 92922 116608 123896 131184 139383 174912 185844 233216 247792 262368 278766 349824 371688 466432 495584 524736 557532 699648 743376 991168 1049472 1115064 1399296 1486752 1982336 2098944 2230128 2973504 3964672 4197888 4460256 5947008 7929344 8920512 11894016 17841024 23788032 35682048 71364096