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11961138 = 2373743179
BaseRepresentation
bin101101101000…
…001100110010
3211111200121010
4231220030302
511030224023
61104211350
7203445060
oct55501462
924450533
1011961138
11682a642
124009b56
13262a3c7
141835030
1510b4093
hexb68332

11961138 has 64 divisors (see below), whose sum is σ = 28892160. Its totient is φ = 3229632.

The previous prime is 11961121. The next prime is 11961143. The reversal of 11961138 is 83116911.

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 31 ways as a sum of consecutive naturals, for example, 66733 + ... + 66911.

It is an arithmetic number, because the mean of its divisors is an integer number (451440).

Almost surely, 211961138 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11961138, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14446080).

11961138 is an abundant number, since it is smaller than the sum of its proper divisors (16931022).

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

11961138 is a wasteful number, since it uses less digits than its factorization.

11961138 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 271.

The product of its digits is 1296, while the sum is 30.

The square root of 11961138 is about 3458.4878198427. The cubic root of 11961138 is about 228.6954374329.

The spelling of 11961138 in words is "eleven million, nine hundred sixty-one thousand, one hundred thirty-eight".

Divisors: 1 2 3 6 7 14 21 37 42 43 74 86 111 129 179 222 258 259 301 358 518 537 602 777 903 1074 1253 1554 1591 1806 2506 3182 3759 4773 6623 7518 7697 9546 11137 13246 15394 19869 22274 23091 33411 39738 46182 46361 53879 66822 92722 107758 139083 161637 278166 284789 323274 569578 854367 1708734 1993523 3987046 5980569 11961138