Search a number
-
+
11077380 = 22325194179
BaseRepresentation
bin101010010000…
…011100000100
3202211210022100
4222100130010
510313434010
61033232100
7163104366
oct52203404
922753270
1011077380
116286666
123862630
1323ab082
141684d36
15e8c2c0
hexa90704

11077380 has 144 divisors (see below), whose sum is σ = 36691200. Its totient is φ = 2695680.

The previous prime is 11077379. The next prime is 11077397. The reversal of 11077380 is 8377011.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 140181 + ... + 140259.

It is an arithmetic number, because the mean of its divisors is an integer number (254800).

Almost surely, 211077380 is an apocalyptic number.

11077380 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 11077380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18345600).

11077380 is an abundant number, since it is smaller than the sum of its proper divisors (25613820).

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

11077380 is a wasteful number, since it uses less digits than its factorization.

11077380 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 154 (or 149 counting only the distinct ones).

The product of its (nonzero) digits is 1176, while the sum is 27.

The square root of 11077380 is about 3328.2698207928. The cubic root of 11077380 is about 222.9182806339.

The spelling of 11077380 in words is "eleven million, seventy-seven thousand, three hundred eighty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 19 20 30 36 38 41 45 57 60 76 79 82 90 95 114 123 158 164 171 180 190 205 228 237 246 285 316 342 369 380 395 410 474 492 570 615 684 711 738 779 790 820 855 948 1140 1185 1230 1422 1476 1501 1558 1580 1710 1845 2337 2370 2460 2844 3002 3116 3239 3420 3555 3690 3895 4503 4674 4740 6004 6478 7011 7110 7380 7505 7790 9006 9348 9717 11685 12956 13509 14022 14220 15010 15580 16195 18012 19434 22515 23370 27018 28044 29151 30020 32390 35055 38868 45030 46740 48585 54036 58302 61541 64780 67545 70110 90060 97170 116604 123082 135090 140220 145755 184623 194340 246164 270180 291510 307705 369246 553869 583020 615410 738492 923115 1107738 1230820 1846230 2215476 2769345 3692460 5538690 11077380