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454120040 = 235113732767
BaseRepresentation
bin11011000100010…
…101001001101000
31011122111200120202
4123010111021220
51412223320130
6113021211332
714152646063
oct3304251150
91148450522
10454120040
11213380120
12108100b48
13731100aa
14444518da
1529d04145
hex1b115268

454120040 has 64 divisors (see below), whose sum is σ = 1118050560. Its totient is φ = 164632320.

The previous prime is 454119989. The next prime is 454120049. The reversal of 454120040 is 40021454.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 454119994 and 454120021.

It is not an unprimeable number, because it can be changed into a prime (454120049) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 162737 + ... + 165503.

It is an arithmetic number, because the mean of its divisors is an integer number (17469540).

Almost surely, 2454120040 is an apocalyptic number.

454120040 is a gapful number since it is divisible by the number (40) 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 454120040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (559025280).

454120040 is an abundant number, since it is smaller than the sum of its proper divisors (663930520).

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

454120040 is a wasteful number, since it uses less digits than its factorization.

454120040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3162 (or 3158 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 20.

The square root of 454120040 is about 21310.0924446611. The cubic root of 454120040 is about 768.6410166522.

Adding to 454120040 its reverse (40021454), we get a palindrome (494141494).

The spelling of 454120040 in words is "four hundred fifty-four million, one hundred twenty thousand, forty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 55 88 110 220 373 440 746 1492 1865 2767 2984 3730 4103 5534 7460 8206 11068 13835 14920 16412 20515 22136 27670 30437 32824 41030 55340 60874 82060 110680 121748 152185 164120 243496 304370 608740 1032091 1217480 2064182 4128364 5160455 8256728 10320910 11353001 20641820 22706002 41283640 45412004 56765005 90824008 113530010 227060020 454120040