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11961108 = 2234192967
BaseRepresentation
bin101101101000…
…001100010100
3211111200120000
4231220030110
511030223413
61104211300
7203445015
oct55501424
924450500
1011961108
11682a615
124009b30
13262a3a3
14183500c
1510b4073
hexb68314

11961108 has 120 divisors (see below), whose sum is σ = 34557600. Its totient is φ = 3592512.

The previous prime is 11961091. The next prime is 11961113. The reversal of 11961108 is 80116911.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 178491 + ... + 178557.

It is an arithmetic number, because the mean of its divisors is an integer number (287980).

Almost surely, 211961108 is an apocalyptic number.

11961108 is a gapful number since it is divisible by the number (18) 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 11961108, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17278800).

11961108 is an abundant number, since it is smaller than the sum of its proper divisors (22596492).

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

11961108 is a wasteful number, since it uses less digits than its factorization.

11961108 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 131 (or 120 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 27.

The square root of 11961108 is about 3458.4834826843. The cubic root of 11961108 is about 228.6952462340.

It can be divided in two parts, 1196 and 1108, that added together give a square (2304 = 482).

The spelling of 11961108 in words is "eleven million, nine hundred sixty-one thousand, one hundred eight".

Divisors: 1 2 3 4 6 9 12 18 19 27 29 36 38 54 57 58 67 76 81 87 108 114 116 134 162 171 174 201 228 261 268 324 342 348 402 513 522 551 603 684 783 804 1026 1044 1102 1206 1273 1539 1566 1653 1809 1943 2052 2204 2349 2412 2546 3078 3132 3306 3618 3819 3886 4698 4959 5092 5427 5829 6156 6612 7236 7638 7772 9396 9918 10854 11457 11658 14877 15276 17487 19836 21708 22914 23316 29754 34371 34974 36917 44631 45828 52461 59508 68742 69948 73834 89262 103113 104922 110751 137484 147668 157383 178524 206226 209844 221502 314766 332253 412452 443004 629532 664506 996759 1329012 1993518 2990277 3987036 5980554 11961108