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5441940 = 2232572617
BaseRepresentation
bin10100110000100110010100
3101020110221100
4110300212110
52343120230
6312350100
764153500
oct24604624
911213840
105441940
113087679
1219a5330
131186caa
14a19300
15727660
hex530994

5441940 has 108 divisors (see below), whose sum is σ = 19233396. Its totient is φ = 1241856.

The previous prime is 5441903. The next prime is 5441959. The reversal of 5441940 is 491445.

It can be written as a sum of positive squares in 2 ways, for example, as 853776 + 4588164 = 924^2 + 2142^2 .

It is a super-2 number, since 2×54419402 = 59229421927200, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 8512 + ... + 9128.

It is an arithmetic number, because the mean of its divisors is an integer number (178087).

Almost surely, 25441940 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 5441940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9616698).

5441940 is an abundant number, since it is smaller than the sum of its proper divisors (13791456).

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

5441940 is a wasteful number, since it uses less digits than its factorization.

5441940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 646 (or 634 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 5441940 is about 2332.7966049358. The cubic root of 5441940 is about 175.8940908956.

The spelling of 5441940 in words is "five million, four hundred forty-one thousand, nine hundred forty".

Divisors: 1 2 3 4 5 6 7 9 10 12 14 15 18 20 21 28 30 35 36 42 45 49 60 63 70 84 90 98 105 126 140 147 180 196 210 245 252 294 315 420 441 490 588 617 630 735 882 980 1234 1260 1470 1764 1851 2205 2468 2940 3085 3702 4319 4410 5553 6170 7404 8638 8820 9255 11106 12340 12957 17276 18510 21595 22212 25914 27765 30233 37020 38871 43190 51828 55530 60466 64785 77742 86380 90699 111060 120932 129570 151165 155484 181398 194355 259140 272097 302330 362796 388710 453495 544194 604660 777420 906990 1088388 1360485 1813980 2720970 5441940