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71420976 = 24321124099
BaseRepresentation
bin1000100000111…
…00110000110000
311222101120011100
410100130300300
5121240432401
611030444400
71525032264
oct420346060
9158346140
1071420976
1137351700
121bb03700
1311a48543
1496b20a4
15640bb86
hex441cc30

71420976 has 90 divisors (see below), whose sum is σ = 219755900. Its totient is φ = 21637440.

The previous prime is 71420969. The next prime is 71420983. The reversal of 71420976 is 67902417.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (71420969) and next prime (71420983).

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 71420976.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 15375 + ... + 19473.

Almost surely, 271420976 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 71420976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109877950).

71420976 is an abundant number, since it is smaller than the sum of its proper divisors (148334924).

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

71420976 is a wasteful number, since it uses less digits than its factorization.

71420976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4135 (or 4115 counting only the distinct ones).

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

The square root of 71420976 is about 8451.0931837248. The cubic root of 71420976 is about 414.8985594228.

The spelling of 71420976 in words is "seventy-one million, four hundred twenty thousand, nine hundred seventy-six".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 33 36 44 48 66 72 88 99 121 132 144 176 198 242 264 363 396 484 528 726 792 968 1089 1452 1584 1936 2178 2904 4099 4356 5808 8198 8712 12297 16396 17424 24594 32792 36891 45089 49188 65584 73782 90178 98376 135267 147564 180356 196752 270534 295128 360712 405801 495979 541068 590256 721424 811602 991958 1082136 1487937 1623204 1983916 2164272 2975874 3246408 3967832 4463811 5951748 6492816 7935664 8927622 11903496 17855244 23806992 35710488 71420976