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120454461 = 3213383829
BaseRepresentation
bin1110010110111…
…11110100111101
322101122201110100
413023133310331
5221314020321
615541431313
72661563121
oct713376475
9271581410
10120454461
1161aa2246
123440b539
131bc55a3a
1411dd7581
15a895326
hex72dfd3d

120454461 has 6 divisors (see below), whose sum is σ = 173989790. Its totient is φ = 80302968.

The previous prime is 120454447. The next prime is 120454463. The reversal of 120454461 is 164454021.

It can be written as a sum of positive squares in only one way, i.e., 98128836 + 22325625 = 9906^2 + 4725^2 .

It is not a de Polignac number, because 120454461 - 214 = 120438077 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120454463) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 6691906 + ... + 6691923.

Almost surely, 2120454461 is an apocalyptic number.

It is an amenable number.

120454461 is a deficient number, since it is larger than the sum of its proper divisors (53535329).

120454461 is a wasteful number, since it uses less digits than its factorization.

120454461 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13383835 (or 13383832 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 120454461 is about 10975.1747594287. The cubic root of 120454461 is about 493.8642955827.

It can be divided in two parts, 120 and 454461, that added together give a triangular number (454581 = T953).

The spelling of 120454461 in words is "one hundred twenty million, four hundred fifty-four thousand, four hundred sixty-one".

Divisors: 1 3 9 13383829 40151487 120454461