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5140608 = 273111217
BaseRepresentation
bin10011100111000010000000
3100200011120220
4103213002000
52303444413
6302103040
761460124
oct23470200
910604526
105140608
1129a1240
12187aa80
1310acaa5
1497b584
156b8223
hex4e7080

5140608 has 64 divisors (see below), whose sum is σ = 14908320. Its totient is φ = 1556480.

The previous prime is 5140591. The next prime is 5140633. The reversal of 5140608 is 8060415.

It is a tau number, because it is divible by the number of its divisors (64).

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

It is a congruent number.

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, 3616 + ... + 4832.

Almost surely, 25140608 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 5140608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7454160).

5140608 is an abundant number, since it is smaller than the sum of its proper divisors (9767712).

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

5140608 is a wasteful number, since it uses less digits than its factorization.

5140608 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1245 (or 1233 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 24.

The square root of 5140608 is about 2267.2908944377. The cubic root of 5140608 is about 172.5857083006.

The spelling of 5140608 in words is "five million, one hundred forty thousand, six hundred eight".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 64 66 88 96 128 132 176 192 264 352 384 528 704 1056 1217 1408 2112 2434 3651 4224 4868 7302 9736 13387 14604 19472 26774 29208 38944 40161 53548 58416 77888 80322 107096 116832 155776 160644 214192 233664 321288 428384 467328 642576 856768 1285152 1713536 2570304 5140608