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11661480 = 23325291117
BaseRepresentation
bin101100011111…
…000010101000
3210221110112200
4230133002220
510441131410
61053540200
7201056325
oct54370250
923843480
1011661480
116645496
123aa4660
132553bac
141797b4c
1510553c0
hexb1f0a8

11661480 has 96 divisors (see below), whose sum is σ = 39241800. Its totient is φ = 2999808.

The previous prime is 11661467. The next prime is 11661491. The reversal of 11661480 is 8416611.

It can be written as a sum of positive squares in 4 ways, for example, as 6380676 + 5280804 = 2526^2 + 2298^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9882 + ... + 10998.

Almost surely, 211661480 is an apocalyptic number.

11661480 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 11661480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19620900).

11661480 is an abundant number, since it is smaller than the sum of its proper divisors (27580320).

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

11661480 is a wasteful number, since it uses less digits than its factorization.

11661480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1163 (or 1156 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

The square root of 11661480 is about 3414.8909206591. The cubic root of 11661480 is about 226.7694554948.

The spelling of 11661480 in words is "eleven million, six hundred sixty-one thousand, four hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 29 30 36 40 45 58 60 72 87 90 116 120 145 174 180 232 261 290 348 360 435 522 580 696 870 1044 1117 1160 1305 1740 2088 2234 2610 3351 3480 4468 5220 5585 6702 8936 10053 10440 11170 13404 16755 20106 22340 26808 32393 33510 40212 44680 50265 64786 67020 80424 97179 100530 129572 134040 161965 194358 201060 259144 291537 323930 388716 402120 485895 583074 647860 777432 971790 1166148 1295720 1457685 1943580 2332296 2915370 3887160 5830740 11661480