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71304192 = 210332579
BaseRepresentation
bin1000100000000…
…00010000000000
311222011121222000
410100000100000
5121223213232
611024144000
71524034641
oct420002000
9158147860
1071304192
1137281993
121ba68000
1311a0733b
1496816c8
1563d727c
hex4400400

71304192 has 88 divisors (see below), whose sum is σ = 211250400. Its totient is φ = 23758848.

The previous prime is 71304179. The next prime is 71304223. The reversal of 71304192 is 29140317.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (3) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 26359 + ... + 28937.

Almost surely, 271304192 is an apocalyptic number.

71304192 is a gapful number since it is divisible by the number (72) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 71304192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105625200).

71304192 is an abundant number, since it is smaller than the sum of its proper divisors (139946208).

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

71304192 is a wasteful number, since it uses less digits than its factorization.

71304192 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2608 (or 2584 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 27.

The square root of 71304192 is about 8444.1809549535. The cubic root of 71304192 is about 414.6722956103.

The spelling of 71304192 in words is "seventy-one million, three hundred four thousand, one hundred ninety-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 128 144 192 216 256 288 384 432 512 576 768 864 1024 1152 1536 1728 2304 2579 3072 3456 4608 5158 6912 7737 9216 10316 13824 15474 20632 23211 27648 30948 41264 46422 61896 69633 82528 92844 123792 139266 165056 185688 247584 278532 330112 371376 495168 557064 660224 742752 990336 1114128 1320448 1485504 1980672 2228256 2640896 2971008 3961344 4456512 5942016 7922688 8913024 11884032 17826048 23768064 35652096 71304192