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71452640 = 2557131487
BaseRepresentation
bin1000100001001…
…00011111100000
311222110011121002
410100210133200
5121242441030
611031251132
71525223510
oct420443740
9158404532
1071452640
1137373476
121bb19aa8
1311a59a8c
1496bd840
156416245
hex44247e0

71452640 has 96 divisors (see below), whose sum is σ = 194793984. Its totient is φ = 24261120.

The previous prime is 71452637. The next prime is 71452657. The reversal of 71452640 is 4625417.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 146477 + ... + 146963.

It is an arithmetic number, because the mean of its divisors is an integer number (2029104).

Almost surely, 271452640 is an apocalyptic number.

71452640 is a gapful number since it is divisible by the number (70) 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 71452640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97396992).

71452640 is an abundant number, since it is smaller than the sum of its proper divisors (123341344).

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

71452640 is a wasteful number, since it uses less digits than its factorization.

71452640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 640 (or 632 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 29.

The square root of 71452640 is about 8452.9663432431. The cubic root of 71452640 is about 414.9598645078.

The spelling of 71452640 in words is "seventy-one million, four hundred fifty-two thousand, six hundred forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 56 70 80 112 131 140 160 224 262 280 487 524 560 655 917 974 1048 1120 1310 1834 1948 2096 2435 2620 3409 3668 3896 4192 4585 4870 5240 6818 7336 7792 9170 9740 10480 13636 14672 15584 17045 18340 19480 20960 27272 29344 34090 36680 38960 54544 63797 68180 73360 77920 109088 127594 136360 146720 255188 272720 318985 446579 510376 545440 637970 893158 1020752 1275940 1786316 2041504 2232895 2551880 3572632 4465790 5103760 7145264 8931580 10207520 14290528 17863160 35726320 71452640