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5640720 = 2435191237
BaseRepresentation
bin10101100001001000010000
3101121120121120
4111201020100
52421000340
6320522240
765642151
oct25411020
911546546
105640720
113202a58
121a80380
131226607
14a6b928
157664d0
hex561210

5640720 has 80 divisors (see below), whose sum is σ = 18421440. Its totient is φ = 1423872.

The previous prime is 5640709. The next prime is 5640721. The reversal of 5640720 is 270465.

It is a happy number.

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

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (5640721) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3942 + ... + 5178.

It is an arithmetic number, because the mean of its divisors is an integer number (230268).

Almost surely, 25640720 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 5640720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9210720).

5640720 is an abundant number, since it is smaller than the sum of its proper divisors (12780720).

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

5640720 is a wasteful number, since it uses less digits than its factorization.

5640720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1272 (or 1266 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 24.

The square root of 5640720 is about 2375.0199999158. The cubic root of 5640720 is about 178.0101833167.

The spelling of 5640720 in words is "five million, six hundred forty thousand, seven hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 19 20 24 30 38 40 48 57 60 76 80 95 114 120 152 190 228 240 285 304 380 456 570 760 912 1140 1237 1520 2280 2474 3711 4560 4948 6185 7422 9896 12370 14844 18555 19792 23503 24740 29688 37110 47006 49480 59376 70509 74220 94012 98960 117515 141018 148440 188024 235030 282036 296880 352545 376048 470060 564072 705090 940120 1128144 1410180 1880240 2820360 5640720