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11894976 = 2632107193
BaseRepresentation
bin101101011000…
…000011000000
3211101022211200
4231120003000
511021114401
61102541200
7203051142
oct55300300
924338750
1011894976
116794965
123b97800
132606262
141818c92
15109e686
hexb580c0

11894976 has 84 divisors (see below), whose sum is σ = 34591752. Its totient is φ = 3907584.

The previous prime is 11894941. The next prime is 11894977. The reversal of 11894976 is 67949811.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11894977) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 61536 + ... + 61728.

Almost surely, 211894976 is an apocalyptic number.

11894976 is a gapful number since it is divisible by the number (16) 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 11894976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17295876).

11894976 is an abundant number, since it is smaller than the sum of its proper divisors (22696776).

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

11894976 is a wasteful number, since it uses less digits than its factorization.

11894976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 318 (or 305 counting only the distinct ones).

The product of its digits is 108864, while the sum is 45.

The square root of 11894976 is about 3448.9093928371. The cubic root of 11894976 is about 228.2729878831.

It can be divided in two parts, 118949 and 76, that added together give a square (119025 = 3452).

The spelling of 11894976 in words is "eleven million, eight hundred ninety-four thousand, nine hundred seventy-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 107 144 192 193 214 288 321 386 428 576 579 642 772 856 963 1158 1284 1544 1712 1737 1926 2316 2568 3088 3424 3474 3852 4632 5136 6176 6848 6948 7704 9264 10272 12352 13896 15408 18528 20544 20651 27792 30816 37056 41302 55584 61632 61953 82604 111168 123906 165208 185859 247812 330416 371718 495624 660832 743436 991248 1321664 1486872 1982496 2973744 3964992 5947488 11894976