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5007360 = 21135163
BaseRepresentation
bin10011000110100000000000
3100102101210210
4103012200000
52240213420
6255154120
760363501
oct23064000
910371723
105007360
112910116
121815940
131064247
14944ba8
1568d9e0
hex4c6800

5007360 has 96 divisors (see below), whose sum is σ = 16117920. Its totient is φ = 1327104.

The previous prime is 5007347. The next prime is 5007377. The reversal of 5007360 is 637005.

It is a tau number, because it is divible by the number of its divisors (96).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 30639 + ... + 30801.

It is an arithmetic number, because the mean of its divisors is an integer number (167895).

Almost surely, 25007360 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 5007360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8058960).

5007360 is an abundant number, since it is smaller than the sum of its proper divisors (11110560).

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

5007360 is a wasteful number, since it uses less digits than its factorization.

5007360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 193 (or 173 counting only the distinct ones).

The product of its (nonzero) digits is 630, while the sum is 21.

The square root of 5007360 is about 2237.7131183420. The cubic root of 5007360 is about 171.0814563528.

The spelling of 5007360 in words is "five million, seven thousand, three hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 128 160 163 192 240 256 320 326 384 480 489 512 640 652 768 815 960 978 1024 1280 1304 1536 1630 1920 1956 2048 2445 2560 2608 3072 3260 3840 3912 4890 5120 5216 6144 6520 7680 7824 9780 10240 10432 13040 15360 15648 19560 20864 26080 30720 31296 39120 41728 52160 62592 78240 83456 104320 125184 156480 166912 208640 250368 312960 333824 417280 500736 625920 834560 1001472 1251840 1669120 2503680 5007360