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1448940 = 2235193141
BaseRepresentation
bin101100001101111101100
32201121120110
411201233230
5332331230
651020020
715213213
oct5415754
92647513
101448940
118aa679
1259a610
133b967c
1429a07a
151d94b0
hex161bec

1448940 has 96 divisors (see below), whose sum is σ = 4515840. Its totient is φ = 345600.

The previous prime is 1448929. The next prime is 1448947. The reversal of 1448940 is 498441.

1448940 = T381 + T382 + ... + T399.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 1448898 and 1448907.

It is not an unprimeable number, because it can be changed into a prime (1448947) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 35320 + ... + 35360.

It is an arithmetic number, because the mean of its divisors is an integer number (47040).

21448940 is an apocalyptic number.

1448940 is a gapful number since it is divisible by the number (10) 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 1448940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2257920).

1448940 is an abundant number, since it is smaller than the sum of its proper divisors (3066900).

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

1448940 is a wasteful number, since it uses less digits than its factorization.

1448940 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 103 (or 101 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 30.

The square root of 1448940 is about 1203.7192363670. The cubic root of 1448940 is about 113.1575321310.

The spelling of 1448940 in words is "one million, four hundred forty-eight thousand, nine hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 19 20 30 31 38 41 57 60 62 76 82 93 95 114 123 124 155 164 186 190 205 228 246 285 310 372 380 410 465 492 570 589 615 620 779 820 930 1140 1178 1230 1271 1558 1767 1860 2337 2356 2460 2542 2945 3116 3534 3813 3895 4674 5084 5890 6355 7068 7626 7790 8835 9348 11685 11780 12710 15252 15580 17670 19065 23370 24149 25420 35340 38130 46740 48298 72447 76260 96596 120745 144894 241490 289788 362235 482980 724470 1448940