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71132256 = 2534132111
BaseRepresentation
bin1000011110101…
…10010001100000
311221211220010000
410033112101200
5121202213011
611020340000
71522420446
oct417262140
9157756100
1071132256
1137174798
121b9a4600
1311976cc0
149638b96
1563a1356
hex43d6460

71132256 has 120 divisors (see below), whose sum is σ = 225396864. Its totient is φ = 21876480.

The previous prime is 71132251. The next prime is 71132263. The reversal of 71132256 is 65223117.

It is a happy number.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (71132251) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 32641 + ... + 34751.

Almost surely, 271132256 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 71132256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112698432).

71132256 is an abundant number, since it is smaller than the sum of its proper divisors (154264608).

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

71132256 is a wasteful number, since it uses less digits than its factorization.

71132256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2146 (or 2129 counting only the distinct ones).

The product of its digits is 2520, while the sum is 27.

The square root of 71132256 is about 8433.9940716128. The cubic root of 71132256 is about 414.3387271949.

The spelling of 71132256 in words is "seventy-one million, one hundred thirty-two thousand, two hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 27 32 36 39 48 52 54 72 78 81 96 104 108 117 144 156 162 208 216 234 288 312 324 351 416 432 468 624 648 702 864 936 1053 1248 1296 1404 1872 2106 2111 2592 2808 3744 4212 4222 5616 6333 8424 8444 11232 12666 16848 16888 18999 25332 27443 33696 33776 37998 50664 54886 56997 67552 75996 82329 101328 109772 113994 151992 164658 170991 202656 219544 227988 246987 303984 329316 341982 439088 455976 493974 607968 658632 683964 740961 878176 911952 987948 1317264 1367928 1481922 1823904 1975896 2222883 2634528 2735856 2963844 3951792 4445766 5471712 5927688 7903584 8891532 11855376 17783064 23710752 35566128 71132256