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4968240 = 2435127163
BaseRepresentation
bin10010111100111100110000
3100100102010220
4102330330300
52232440430
6254253040
760141444
oct22747460
910312126
104968240
112893792
1217b7180
13104c4b4
14934824
15682110
hex4bcf30

4968240 has 80 divisors (see below), whose sum is σ = 15618048. Its totient is φ = 1306368.

The previous prime is 4968239. The next prime is 4968241. The reversal of 4968240 is 428694.

It is an interprime number because it is at equal distance from previous prime (4968239) and next prime (4968241).

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

It is not an unprimeable number, because it can be changed into a prime (4968241) 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, 30399 + ... + 30561.

Almost surely, 24968240 is an apocalyptic number.

4968240 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4968240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7809024).

4968240 is an abundant number, since it is smaller than the sum of its proper divisors (10649808).

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

4968240 is a wasteful number, since it uses less digits than its factorization.

4968240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 306 (or 300 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 33.

The square root of 4968240 is about 2228.9549120608. The cubic root of 4968240 is about 170.6347664444.

The spelling of 4968240 in words is "four million, nine hundred sixty-eight thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 127 163 240 254 326 381 489 508 635 652 762 815 978 1016 1270 1304 1524 1630 1905 1956 2032 2445 2540 2608 3048 3260 3810 3912 4890 5080 6096 6520 7620 7824 9780 10160 13040 15240 19560 20701 30480 39120 41402 62103 82804 103505 124206 165608 207010 248412 310515 331216 414020 496824 621030 828040 993648 1242060 1656080 2484120 4968240