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121949536 = 2531269457
BaseRepresentation
bin1110100010011…
…00110101100000
322111110200022111
413101030311200
5222204341121
620033445104
73010361002
oct721146540
9274420274
10121949536
1162923545
1234a10794
131c35a3b7
14122a6372
15aa8d2e1
hex744cd60

121949536 has 48 divisors (see below), whose sum is σ = 249298560. Its totient is φ = 58659840.

The previous prime is 121949533. The next prime is 121949549. The reversal of 121949536 is 635949121.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (121949533) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 266620 + ... + 267076.

It is an arithmetic number, because the mean of its divisors is an integer number (5193720).

Almost surely, 2121949536 is an apocalyptic number.

121949536 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 121949536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124649280).

121949536 is an abundant number, since it is smaller than the sum of its proper divisors (127349024).

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

121949536 is a wasteful number, since it uses less digits than its factorization.

121949536 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 767 (or 759 counting only the distinct ones).

The product of its digits is 58320, while the sum is 40.

The square root of 121949536 is about 11043.0763829650. The cubic root of 121949536 is about 495.8991730537.

The spelling of 121949536 in words is "one hundred twenty-one million, nine hundred forty-nine thousand, five hundred thirty-six".

Divisors: 1 2 4 8 16 31 32 62 124 248 269 457 496 538 914 992 1076 1828 2152 3656 4304 7312 8339 8608 14167 14624 16678 28334 33356 56668 66712 113336 122933 133424 226672 245866 266848 453344 491732 983464 1966928 3810923 3933856 7621846 15243692 30487384 60974768 121949536