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121690600 = 23522292657
BaseRepresentation
bin1110100000011…
…01100111101000
322110222112010021
413100031213220
5222123044400
620024130224
73005232043
oct720154750
9273875107
10121690600
1162766a49
1234906974
131c299595
1412239c5a
15aa3b71a
hex740d9e8

121690600 has 48 divisors (see below), whose sum is σ = 284273100. Its totient is φ = 48445440.

The previous prime is 121690579. The next prime is 121690601. The reversal of 121690600 is 6096121.

It can be written as a sum of positive squares in 6 ways, for example, as 84015556 + 37675044 = 9166^2 + 6138^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (121690601) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 44472 + ... + 47128.

Almost surely, 2121690600 is an apocalyptic number.

121690600 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 121690600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142136550).

121690600 is an abundant number, since it is smaller than the sum of its proper divisors (162582500).

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

121690600 is a wasteful number, since it uses less digits than its factorization.

121690600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2902 (or 2893 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 25.

The square root of 121690600 is about 11031.3462460391. The cubic root of 121690600 is about 495.5479426961.

The spelling of 121690600 in words is "one hundred twenty-one million, six hundred ninety thousand, six hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 200 229 458 916 1145 1832 2290 2657 4580 5314 5725 9160 10628 11450 13285 21256 22900 26570 45800 53140 66425 106280 132850 265700 531400 608453 1216906 2433812 3042265 4867624 6084530 12169060 15211325 24338120 30422650 60845300 121690600