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71393400 = 23355213113
BaseRepresentation
bin1000100000101…
…10000001111000
311222100011100000
410100112001320
5121234042100
611030113000
71524556011
oct420260170
9158304300
1071393400
1137332a11
121baab760
1311a38b20
1496a6008
156403900
hex4416078

71393400 has 288 divisors, whose sum is σ = 270138960. Its totient is φ = 17418240.

The previous prime is 71393381. The next prime is 71393417. The reversal of 71393400 is 439317.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 631744 + ... + 631856.

Almost surely, 271393400 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 71393400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135069480).

71393400 is an abundant number, since it is smaller than the sum of its proper divisors (198745560).

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

71393400 is a wasteful number, since it uses less digits than its factorization.

71393400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 157 (or 136 counting only the distinct ones).

The product of its (nonzero) digits is 2268, while the sum is 27.

The square root of 71393400 is about 8449.4615213042. The cubic root of 71393400 is about 414.8451544049.

The spelling of 71393400 in words is "seventy-one million, three hundred ninety-three thousand, four hundred".