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4099480 = 2357114
BaseRepresentation
bin1111101000110110011000
321201021102121
433220312120
52022140410
6223511024
746562560
oct17506630
97637377
104099480
112350000
121458474
13b06c38
14789da0
1555e9da
hex3e8d98

4099480 has 80 divisors (see below), whose sum is σ = 11595600. Its totient is φ = 1277760.

The previous prime is 4099477. The next prime is 4099493. The reversal of 4099480 is 849904.

It is an Ulam number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 372675 + ... + 372685.

It is an arithmetic number, because the mean of its divisors is an integer number (144945).

Almost surely, 24099480 is an apocalyptic number.

4099480 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 4099480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5797800).

4099480 is an abundant number, since it is smaller than the sum of its proper divisors (7496120).

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

4099480 is an equidigital number, since it uses as much as digits as its factorization.

4099480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 62 (or 25 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 34.

The square root of 4099480 is about 2024.7172642125. The cubic root of 4099480 is about 160.0452996734.

It can be divided in two parts, 409 and 9480, that added together give a palindrome (9889).

The spelling of 4099480 in words is "four million, ninety-nine thousand, four hundred eighty".

Divisors: 1 2 4 5 7 8 10 11 14 20 22 28 35 40 44 55 56 70 77 88 110 121 140 154 220 242 280 308 385 440 484 605 616 770 847 968 1210 1331 1540 1694 2420 2662 3080 3388 4235 4840 5324 6655 6776 8470 9317 10648 13310 14641 16940 18634 26620 29282 33880 37268 46585 53240 58564 73205 74536 93170 102487 117128 146410 186340 204974 292820 372680 409948 512435 585640 819896 1024870 2049740 4099480