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121727144 = 23711197609
BaseRepresentation
bin1110100000101…
…10100010101000
322111001101020202
413100112202220
5222130232034
620025011332
73005443430
oct720264250
9274041222
10121727144
1162791450
1234923b48
131c2b00c6
14122492c0
15aa4747e
hex74168a8

121727144 has 32 divisors (see below), whose sum is σ = 284558400. Its totient is φ = 47425920.

The previous prime is 121727131. The next prime is 121727149. The reversal of 121727144 is 441727121.

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (121727149) 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 7 ways as a sum of consecutive naturals, for example, 98189 + ... + 99420.

It is an arithmetic number, because the mean of its divisors is an integer number (8892450).

Almost surely, 2121727144 is an apocalyptic number.

121727144 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

121727144 is an abundant number, since it is smaller than the sum of its proper divisors (162831256).

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

121727144 is a wasteful number, since it uses less digits than its factorization.

121727144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 197633 (or 197629 counting only the distinct ones).

The product of its digits is 3136, while the sum is 29.

The square root of 121727144 is about 11033.0024925222. The cubic root of 121727144 is about 495.5975425051.

The spelling of 121727144 in words is "one hundred twenty-one million, seven hundred twenty-seven thousand, one hundred forty-four".

Divisors: 1 2 4 7 8 11 14 22 28 44 56 77 88 154 308 616 197609 395218 790436 1383263 1580872 2173699 2766526 4347398 5533052 8694796 11066104 15215893 17389592 30431786 60863572 121727144