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5898240 = 217325
BaseRepresentation
bin10110100000000000000000
3102002122212100
4112200000000
53002220430
6330230400
7101064015
oct26400000
912078770
105898240
113369487
121b85400
1312b68aa
14ad770c
157b7960
hex5a0000

5898240 has 108 divisors (see below), whose sum is σ = 20447154. Its totient is φ = 1572864.

The previous prime is 5898209. The next prime is 5898253. The reversal of 5898240 is 428985.

It is a Jordan-Polya number, since it can be written as 6! ⋅ (2!)13.

It can be written as a sum of positive squares in only one way, i.e., 5308416 + 589824 = 2304^2 + 768^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a zygodrome in base 4.

It is a junction number, because it is equal to n+sod(n) for n = 5898195 and 5898204.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1179646 + ... + 1179650.

Almost surely, 25898240 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 5898240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10223577).

5898240 is an abundant number, since it is smaller than the sum of its proper divisors (14548914).

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

5898240 is an frugal number, since it uses more digits than its factorization.

5898240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45 (or 10 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The square root of 5898240 is about 2428.6292430093. The cubic root of 5898240 is about 180.6789175452.

Multiplying 5898240 by its product of nonzero digits (23040), we get a square (135895449600 = 3686402).

5898240 divided by its product of nonzero digits (23040) gives a 8-th power (256 = 28).

The spelling of 5898240 in words is "five million, eight hundred ninety-eight thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 64 72 80 90 96 120 128 144 160 180 192 240 256 288 320 360 384 480 512 576 640 720 768 960 1024 1152 1280 1440 1536 1920 2048 2304 2560 2880 3072 3840 4096 4608 5120 5760 6144 7680 8192 9216 10240 11520 12288 15360 16384 18432 20480 23040 24576 30720 32768 36864 40960 46080 49152 61440 65536 73728 81920 92160 98304 122880 131072 147456 163840 184320 196608 245760 294912 327680 368640 393216 491520 589824 655360 737280 983040 1179648 1474560 1966080 2949120 5898240