Search a number
-
+
3193680 = 243571901
BaseRepresentation
bin1100001011101101010000
320000020220110
430023231100
51304144210
6152241320
736101010
oct14135520
96006813
103193680
111891506
1210a0240
1387a869
145d1c40
15431420
hex30bb50

3193680 has 80 divisors (see below), whose sum is σ = 11320704. Its totient is φ = 729600.

The previous prime is 3193679. The next prime is 3193703. The reversal of 3193680 is 863913.

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

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 730 + ... + 2630.

Almost surely, 23193680 is an apocalyptic number.

3193680 is a gapful number since it is divisible by the number (30) 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 3193680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5660352).

3193680 is an abundant number, since it is smaller than the sum of its proper divisors (8127024).

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

3193680 is a wasteful number, since it uses less digits than its factorization.

3193680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1924 (or 1918 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 30.

The square root of 3193680 is about 1787.0870152290. The cubic root of 3193680 is about 147.2641831792.

The spelling of 3193680 in words is "three million, one hundred ninety-three thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 28 30 35 40 42 48 56 60 70 80 84 105 112 120 140 168 210 240 280 336 420 560 840 1680 1901 3802 5703 7604 9505 11406 13307 15208 19010 22812 26614 28515 30416 38020 39921 45624 53228 57030 66535 76040 79842 91248 106456 114060 133070 152080 159684 199605 212912 228120 266140 319368 399210 456240 532280 638736 798420 1064560 1596840 3193680