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121709928 = 23323792791
BaseRepresentation
bin1110100000100…
…10010101101000
322111000111122010
413100102111220
5222124204203
620024355520
73005342304
oct720222550
9274014563
10121709928
116277a51a
1234915ba0
131c2a5312
1412242d04
15aa42303
hex7412568

121709928 has 64 divisors (see below), whose sum is σ = 321638400. Its totient is φ = 38301120.

The previous prime is 121709923. The next prime is 121709933. The reversal of 121709928 is 829907121.

It is an interprime number because it is at equal distance from previous prime (121709923) and next prime (121709933).

It is not an unprimeable number, because it can be changed into a prime (121709921) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 42213 + ... + 45003.

It is an arithmetic number, because the mean of its divisors is an integer number (5025600).

Almost surely, 2121709928 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 121709928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160819200).

121709928 is an abundant number, since it is smaller than the sum of its proper divisors (199928472).

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

121709928 is a wasteful number, since it uses less digits than its factorization.

121709928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2902 (or 2898 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 39.

The square root of 121709928 is about 11032.2222602701. Note that the first 4 decimals coincide. The cubic root of 121709928 is about 495.5741771069.

The spelling of 121709928 in words is "one hundred twenty-one million, seven hundred nine thousand, nine hundred twenty-eight".

Divisors: 1 2 3 4 6 8 12 23 24 46 69 79 92 138 158 184 237 276 316 474 552 632 948 1817 1896 2791 3634 5451 5582 7268 8373 10902 11164 14536 16746 21804 22328 33492 43608 64193 66984 128386 192579 220489 256772 385158 440978 513544 661467 770316 881956 1322934 1540632 1763912 2645868 5071247 5291736 10142494 15213741 20284988 30427482 40569976 60854964 121709928