Search a number
-
+
193389660 = 223351073347
BaseRepresentation
bin10111000011011…
…10010001011100
3111110220012202000
423201232101130
5344001432120
631105002300
74535533152
oct1341562134
9443805660
10193389660
119a188572
1254923390
13310b1569
141b9813d2
1511ea0990
hexb86e45c

193389660 has 96 divisors (see below), whose sum is σ = 607461120. Its totient is φ = 51073344.

The previous prime is 193389643. The next prime is 193389689. The reversal of 193389660 is 66983391.

193389660 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 56107 + ... + 59453.

It is an arithmetic number, because the mean of its divisors is an integer number (6327720).

Almost surely, 2193389660 is an apocalyptic number.

193389660 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 193389660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (303730560).

193389660 is an abundant number, since it is smaller than the sum of its proper divisors (414071460).

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

193389660 is a wasteful number, since it uses less digits than its factorization.

193389660 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3472 (or 3464 counting only the distinct ones).

The product of its (nonzero) digits is 209952, while the sum is 45.

The square root of 193389660 is about 13906.4610882855. The cubic root of 193389660 is about 578.2883145524.

The spelling of 193389660 in words is "one hundred ninety-three million, three hundred eighty-nine thousand, six hundred sixty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 90 107 108 135 180 214 270 321 428 535 540 642 963 1070 1284 1605 1926 2140 2889 3210 3347 3852 4815 5778 6420 6694 9630 10041 11556 13388 14445 16735 19260 20082 28890 30123 33470 40164 50205 57780 60246 66940 90369 100410 120492 150615 180738 200820 301230 358129 361476 451845 602460 716258 903690 1074387 1432516 1790645 1807380 2148774 3223161 3581290 4297548 5371935 6446322 7162580 9669483 10743870 12892644 16115805 19338966 21487740 32231610 38677932 48347415 64463220 96694830 193389660