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121640256 = 2632223947
BaseRepresentation
bin1110100000000…
…01010101000000
322110212222001200
413100001111000
5222114442011
620023101200
73004632213
oct720012500
9273788050
10121640256
1162732141
12348a1800
131c27c6aa
141222577a
15aa2b856
hex7401540

121640256 has 84 divisors (see below), whose sum is σ = 350593152. Its totient is φ = 40322304.

The previous prime is 121640243. The next prime is 121640257. The reversal of 121640256 is 652046121.

121640256 is a `hidden beast` number, since 12 + 1 + 640 + 2 + 5 + 6 = 666.

It is a plaindrome in base 14.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (121640257) 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, 127975 + ... + 128921.

It is an arithmetic number, because the mean of its divisors is an integer number (4173728).

Almost surely, 2121640256 is an apocalyptic number.

121640256 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 121640256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (175296576).

121640256 is an abundant number, since it is smaller than the sum of its proper divisors (228952896).

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

121640256 is a wasteful number, since it uses less digits than its factorization.

121640256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1188 (or 1175 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 121640256 is about 11029.0641488750. The cubic root of 121640256 is about 495.4795963960.

Adding to 121640256 its reverse (652046121), we get a palindrome (773686377).

The spelling of 121640256 in words is "one hundred twenty-one million, six hundred forty thousand, two hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 144 192 223 288 446 576 669 892 947 1338 1784 1894 2007 2676 2841 3568 3788 4014 5352 5682 7136 7576 8028 8523 10704 11364 14272 15152 16056 17046 21408 22728 30304 32112 34092 42816 45456 60608 64224 68184 90912 128448 136368 181824 211181 272736 422362 545472 633543 844724 1267086 1689448 1900629 2534172 3378896 3801258 5068344 6757792 7602516 10136688 13515584 15205032 20273376 30410064 40546752 60820128 121640256