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4872240 = 2432567101
BaseRepresentation
bin10010100101100000110000
3100011112110100
4102211200300
52221402430
6252232400
756261532
oct22454060
910145410
104872240
11282864a
12176b700
1310178a9
1490b852
15663960
hex4a5830

4872240 has 120 divisors (see below), whose sum is σ = 16771248. Its totient is φ = 1267200.

The previous prime is 4872229. The next prime is 4872269. The reversal of 4872240 is 422784.

It is a tau number, because it is divible by the number of its divisors (120).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 48190 + ... + 48290.

Almost surely, 24872240 is an apocalyptic number.

4872240 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 4872240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8385624).

4872240 is an abundant number, since it is smaller than the sum of its proper divisors (11899008).

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

4872240 is a wasteful number, since it uses less digits than its factorization.

4872240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 187 (or 178 counting only the distinct ones).

The product of its (nonzero) digits is 3584, while the sum is 27.

The square root of 4872240 is about 2207.3151111701. The cubic root of 4872240 is about 169.5285669866.

The spelling of 4872240 in words is "four million, eight hundred seventy-two thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 36 40 45 48 60 67 72 80 90 101 120 134 144 180 201 202 240 268 303 335 360 402 404 505 536 603 606 670 720 804 808 909 1005 1010 1072 1206 1212 1340 1515 1608 1616 1818 2010 2020 2412 2424 2680 3015 3030 3216 3636 4020 4040 4545 4824 4848 5360 6030 6060 6767 7272 8040 8080 9090 9648 12060 12120 13534 14544 16080 18180 20301 24120 24240 27068 33835 36360 40602 48240 54136 60903 67670 72720 81204 101505 108272 121806 135340 162408 203010 243612 270680 304515 324816 406020 487224 541360 609030 812040 974448 1218060 1624080 2436120 4872240