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4292720 = 245232333
BaseRepresentation
bin10000011000000001110000
322002002111122
4100120001300
52044331340
6232001412
751326135
oct20300160
98062448
104292720
112472203
121530268
13b73b93
147da58c
1559bdb5
hex418070

4292720 has 40 divisors (see below), whose sum is σ = 10418976. Its totient is φ = 1641728.

The previous prime is 4292719. The next prime is 4292723. The reversal of 4292720 is 272924.

It is a tau number, because it is divible by the number of its divisors (40).

It is a self number, because there is not a number n which added to its sum of digits gives 4292720.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4292723) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 674 + ... + 3006.

Almost surely, 24292720 is an apocalyptic number.

4292720 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 4292720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5209488).

4292720 is an abundant number, since it is smaller than the sum of its proper divisors (6126256).

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

4292720 is a wasteful number, since it uses less digits than its factorization.

4292720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2369 (or 2363 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 26.

The square root of 4292720 is about 2071.8880278625. Note that the first 3 decimals coincide. The cubic root of 4292720 is about 162.5215119450.

The spelling of 4292720 in words is "four million, two hundred ninety-two thousand, seven hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 23 40 46 80 92 115 184 230 368 460 920 1840 2333 4666 9332 11665 18664 23330 37328 46660 53659 93320 107318 186640 214636 268295 429272 536590 858544 1073180 2146360 4292720