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11196480 = 2635107109
BaseRepresentation
bin101010101101…
…100001000000
3210001211200110
4222231201000
510331241410
61035551320
7164111541
oct52554100
923054613
1011196480
116358099
1238bb540
132420349
1416b64c8
15eb2720
hexaad840

11196480 has 112 divisors (see below), whose sum is σ = 36210240. Its totient is φ = 2930688.

The previous prime is 11196463. The next prime is 11196503. The reversal of 11196480 is 8469111.

It is a super-2 number, since 2×111964802 = 250722328780800, which contains 22 as substring.

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

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, 102666 + ... + 102774.

Almost surely, 211196480 is an apocalyptic number.

11196480 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 11196480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18105120).

11196480 is an abundant number, since it is smaller than the sum of its proper divisors (25013760).

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

11196480 is a wasteful number, since it uses less digits than its factorization.

11196480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 236 (or 226 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 30.

The square root of 11196480 is about 3346.1141642209. The cubic root of 11196480 is about 223.7143467634.

The spelling of 11196480 in words is "eleven million, one hundred ninety-six thousand, four hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 107 109 120 160 192 214 218 240 320 321 327 428 436 480 535 545 642 654 856 872 960 1070 1090 1284 1308 1605 1635 1712 1744 2140 2180 2568 2616 3210 3270 3424 3488 4280 4360 5136 5232 6420 6540 6848 6976 8560 8720 10272 10464 11663 12840 13080 17120 17440 20544 20928 23326 25680 26160 34240 34880 34989 46652 51360 52320 58315 69978 93304 102720 104640 116630 139956 174945 186608 233260 279912 349890 373216 466520 559824 699780 746432 933040 1119648 1399560 1866080 2239296 2799120 3732160 5598240 11196480