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266401400 = 23522415527
BaseRepresentation
bin11111110000011…
…11011001111000
3200120021121000112
433320033121320
51021144321100
642233523452
76413242316
oct1770173170
9616247015
10266401400
11127416351
1275273588
1343265b85
14275490b6
15185c3b35
hexfe0f678

266401400 has 48 divisors (see below), whose sum is σ = 622065840. Its totient is φ = 106099200.

The previous prime is 266401397. The next prime is 266401417. The reversal of 266401400 is 4104662.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 45437 + ... + 50963.

It is an arithmetic number, because the mean of its divisors is an integer number (12959705).

Almost surely, 2266401400 is an apocalyptic number.

266401400 is a gapful number since it is divisible by the number (20) 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 266401400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (311032920).

266401400 is an abundant number, since it is smaller than the sum of its proper divisors (355664440).

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

266401400 is a wasteful number, since it uses less digits than its factorization.

266401400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5784 (or 5775 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 23.

The square root of 266401400 is about 16321.8074979458. The cubic root of 266401400 is about 643.4460921369.

The spelling of 266401400 in words is "two hundred sixty-six million, four hundred one thousand, four hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 200 241 482 964 1205 1928 2410 4820 5527 6025 9640 11054 12050 22108 24100 27635 44216 48200 55270 110540 138175 221080 276350 552700 1105400 1332007 2664014 5328028 6660035 10656056 13320070 26640140 33300175 53280280 66600350 133200700 266401400