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3133480 = 235719231
BaseRepresentation
bin1011111101000000101000
312220012022211
423331000220
51300232410
6151054504
735430340
oct13750050
95805284
103133480
111850259
121071434
1385933c
145b7d20
1541d68a
hex2fd028

3133480 has 96 divisors (see below), whose sum is σ = 8778240. Its totient is φ = 984960.

The previous prime is 3133469. The next prime is 3133513. The reversal of 3133480 is 843313.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 101065 + ... + 101095.

It is an arithmetic number, because the mean of its divisors is an integer number (91440).

Almost surely, 23133480 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 3133480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4389120).

3133480 is an abundant number, since it is smaller than the sum of its proper divisors (5644760).

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

3133480 is a wasteful number, since it uses less digits than its factorization.

3133480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 87 (or 64 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 22.

The square root of 3133480 is about 1770.1638342255. The cubic root of 3133480 is about 146.3330110475. Note that the first 3 decimals are identical.

Adding to 3133480 its reverse (843313), we get a palindrome (3976793).

The spelling of 3133480 in words is "three million, one hundred thirty-three thousand, four hundred eighty".

Divisors: 1 2 4 5 7 8 10 14 19 20 28 31 35 38 40 56 62 70 76 95 124 133 140 152 155 190 217 248 266 280 310 361 380 434 532 589 620 665 722 760 868 1064 1085 1178 1240 1330 1444 1736 1805 2170 2356 2527 2660 2888 2945 3610 4123 4340 4712 5054 5320 5890 7220 8246 8680 10108 11191 11780 12635 14440 16492 20216 20615 22382 23560 25270 32984 41230 44764 50540 55955 78337 82460 89528 101080 111910 156674 164920 223820 313348 391685 447640 626696 783370 1566740 3133480