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5237680 = 245747199
BaseRepresentation
bin10011111110101110110000
3100212002202011
4103332232300
52320101210
6304132304
762343130
oct23765660
910762664
105237680
112a58168
121907094
131115026
149a4ac0
156d6d8a
hex4febb0

5237680 has 80 divisors (see below), whose sum is σ = 14284800. Its totient is φ = 1748736.

The previous prime is 5237671. The next prime is 5237681. The reversal of 5237680 is 867325.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5237681) 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, 26221 + ... + 26419.

It is an arithmetic number, because the mean of its divisors is an integer number (178560).

Almost surely, 25237680 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 5237680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7142400).

5237680 is an abundant number, since it is smaller than the sum of its proper divisors (9047120).

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

5237680 is a wasteful number, since it uses less digits than its factorization.

5237680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 266 (or 260 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 31.

The square root of 5237680 is about 2288.5978239962. The cubic root of 5237680 is about 173.6652744970.

The spelling of 5237680 in words is "five million, two hundred thirty-seven thousand, six hundred eighty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 35 40 47 56 70 80 94 112 140 188 199 235 280 329 376 398 470 560 658 752 796 940 995 1316 1393 1592 1645 1880 1990 2632 2786 3184 3290 3760 3980 5264 5572 6580 6965 7960 9353 11144 13160 13930 15920 18706 22288 26320 27860 37412 46765 55720 65471 74824 93530 111440 130942 149648 187060 261884 327355 374120 523768 654710 748240 1047536 1309420 2618840 5237680