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11960916 = 22311313779
BaseRepresentation
bin101101101000…
…001001010100
3211111200021220
4231220021110
511030222131
61104210340
7203444322
oct55501124
924450256
1011960916
11682a460
1240099b0
13262a286
141834d12
1510b3e96
hexb68254

11960916 has 96 divisors (see below), whose sum is σ = 32686080. Its totient is φ = 3369600.

The previous prime is 11960909. The next prime is 11960917. The reversal of 11960916 is 61906911.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11960917) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 151365 + ... + 151443.

It is an arithmetic number, because the mean of its divisors is an integer number (340480).

Almost surely, 211960916 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11960916, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16343040).

11960916 is an abundant number, since it is smaller than the sum of its proper divisors (20725164).

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

11960916 is a wasteful number, since it uses less digits than its factorization.

11960916 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 165 (or 163 counting only the distinct ones).

The product of its (nonzero) digits is 2916, while the sum is 33.

The square root of 11960916 is about 3458.4557247419. The cubic root of 11960916 is about 228.6940225536.

The spelling of 11960916 in words is "eleven million, nine hundred sixty thousand, nine hundred sixteen".

Divisors: 1 2 3 4 6 11 12 22 31 33 37 44 62 66 74 79 93 111 124 132 148 158 186 222 237 316 341 372 407 444 474 682 814 869 948 1023 1147 1221 1364 1628 1738 2046 2294 2442 2449 2607 2923 3441 3476 4092 4588 4884 4898 5214 5846 6882 7347 8769 9796 10428 11692 12617 13764 14694 17538 25234 26939 29388 32153 35076 37851 50468 53878 64306 75702 80817 90613 96459 107756 128612 151404 161634 181226 192918 271839 323268 362452 385836 543678 996743 1087356 1993486 2990229 3986972 5980458 11960916