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71270496 = 2533117499
BaseRepresentation
bin1000011111110…
…00000001100000
311222002220202000
410033320001200
5121221123441
611023324000
71523534463
oct417700140
9158086660
1071270496
1137259640
121ba50600
13119c4bbb
1496732da
1563cc2b6
hex43f8060

71270496 has 96 divisors (see below), whose sum is σ = 226800000. Its totient is φ = 21594240.

The previous prime is 71270489. The next prime is 71270497. The reversal of 71270496 is 69407217.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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 71270496.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (71270497) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5755 + ... + 13253.

It is an arithmetic number, because the mean of its divisors is an integer number (2362500).

Almost surely, 271270496 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 71270496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113400000).

71270496 is an abundant number, since it is smaller than the sum of its proper divisors (155529504).

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

71270496 is a wasteful number, since it uses less digits than its factorization.

71270496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7529 (or 7515 counting only the distinct ones).

The product of its (nonzero) digits is 21168, while the sum is 36.

The square root of 71270496 is about 8442.1854990281. The cubic root of 71270496 is about 414.6069651863.

The spelling of 71270496 in words is "seventy-one million, two hundred seventy thousand, four hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 27 32 33 36 44 48 54 66 72 88 96 99 108 132 144 176 198 216 264 288 297 352 396 432 528 594 792 864 1056 1188 1584 2376 3168 4752 7499 9504 14998 22497 29996 44994 59992 67491 82489 89988 119984 134982 164978 179976 202473 239968 247467 269964 329956 359952 404946 494934 539928 659912 719904 742401 809892 989868 1079856 1319824 1484802 1619784 1979736 2159712 2227203 2639648 2969604 3239568 3959472 4454406 5939208 6479136 7918944 8908812 11878416 17817624 23756832 35635248 71270496