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5098640 = 2451723163
BaseRepresentation
bin10011011100110010010000
3100121001000112
4103130302100
52301124030
6301140452
761223561
oct23346220
910531015
105098640
112972758
12185a728
131096961
1496a168
156aaa95
hex4dcc90

5098640 has 80 divisors (see below), whose sum is σ = 13177728. Its totient is φ = 1824768.

The previous prime is 5098627. The next prime is 5098649. The reversal of 5098640 is 468905.

5098640 = T817 + T818 + ... + T831.

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

It is a super-2 number, since 2×50986402 = 51992259699200, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 5098597 and 5098606.

It is not an unprimeable number, because it can be changed into a prime (5098649) 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, 31199 + ... + 31361.

Almost surely, 25098640 is an apocalyptic number.

5098640 is the 1304-th octagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5098640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6588864).

5098640 is an abundant number, since it is smaller than the sum of its proper divisors (8079088).

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

5098640 is a wasteful number, since it uses less digits than its factorization.

5098640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 216 (or 210 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 32.

The square root of 5098640 is about 2258.0168289895. The cubic root of 5098640 is about 172.1147602624.

The spelling of 5098640 in words is "five million, ninety-eight thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 16 17 20 23 34 40 46 68 80 85 92 115 136 163 170 184 230 272 326 340 368 391 460 652 680 782 815 920 1304 1360 1564 1630 1840 1955 2608 2771 3128 3260 3749 3910 5542 6256 6520 7498 7820 11084 13040 13855 14996 15640 18745 22168 27710 29992 31280 37490 44336 55420 59984 63733 74980 110840 127466 149960 221680 254932 299920 318665 509864 637330 1019728 1274660 2549320 5098640