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454139040 = 2535946123
BaseRepresentation
bin11011000100011…
…001110010100000
31011122112122122110
4123010121302200
51412224422130
6113021435320
714153055345
oct3304316240
91148478573
10454139040
11213393423
1210810bb40
1373118934
14444587cc
1529d09ab0
hex1b119ca0

454139040 has 48 divisors (see below), whose sum is σ = 1430539488. Its totient is φ = 121103616.

The previous prime is 454139011. The next prime is 454139041. The reversal of 454139040 is 40931454.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 454138989 and 454139007.

It is not an unprimeable number, because it can be changed into a prime (454139041) 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, 472582 + ... + 473541.

It is an arithmetic number, because the mean of its divisors is an integer number (29802906).

Almost surely, 2454139040 is an apocalyptic number.

454139040 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

454139040 is an abundant number, since it is smaller than the sum of its proper divisors (976400448).

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

454139040 is a wasteful number, since it uses less digits than its factorization.

454139040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 946141 (or 946133 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 30.

The square root of 454139040 is about 21310.5382381581. The cubic root of 454139040 is about 768.6517362670.

The spelling of 454139040 in words is "four hundred fifty-four million, one hundred thirty-nine thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 120 160 240 480 946123 1892246 2838369 3784492 4730615 5676738 7568984 9461230 11353476 14191845 15137968 18922460 22706952 28383690 30275936 37844920 45413904 56767380 75689840 90827808 113534760 151379680 227069520 454139040