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5148240 = 2435191129
BaseRepresentation
bin10011101000111001010000
3100200120001120
4103220321100
52304220430
6302202240
761521306
oct23507120
910616046
105148240
1129a6a49
121883380
1310b33c6
14980276
156ba610
hex4e8e50

5148240 has 80 divisors (see below), whose sum is σ = 16814400. Its totient is φ = 1299456.

The previous prime is 5148233. The next prime is 5148257. The reversal of 5148240 is 428415.

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 an Ulam number.

It is a self number, because there is not a number n which added to its sum of digits gives 5148240.

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, 3996 + ... + 5124.

It is an arithmetic number, because the mean of its divisors is an integer number (210180).

Almost surely, 25148240 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 5148240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8407200).

5148240 is an abundant number, since it is smaller than the sum of its proper divisors (11666160).

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

5148240 is a wasteful number, since it uses less digits than its factorization.

5148240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1164 (or 1158 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 24.

The square root of 5148240 is about 2268.9733361148. The cubic root of 5148240 is about 172.6710758172.

The spelling of 5148240 in words is "five million, one hundred forty-eight thousand, two hundred forty".

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 1129 1140 1520 2258 2280 3387 4516 4560 5645 6774 9032 11290 13548 16935 18064 21451 22580 27096 33870 42902 45160 54192 64353 67740 85804 90320 107255 128706 135480 171608 214510 257412 270960 321765 343216 429020 514824 643530 858040 1029648 1287060 1716080 2574120 5148240