Search a number
-
+
1450400540 = 225591577829
BaseRepresentation
bin101011001110011…
…0101101100011100
310202002011222111112
41112130311230130
510432300304130
6355531041152
750641126001
oct12634655434
93662158445
101450400540
11684793436
123458a01b8
131a1647294
14da8b18a8
15874ed495
hex56735b1c

1450400540 has 48 divisors (see below), whose sum is σ = 3117592800. Its totient is φ = 566621952.

The previous prime is 1450400537. The next prime is 1450400617. The reversal of 1450400540 is 450040541.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 181346 + ... + 189174.

It is an arithmetic number, because the mean of its divisors is an integer number (64949850).

Almost surely, 21450400540 is an apocalyptic number.

1450400540 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1450400540 is an abundant number, since it is smaller than the sum of its proper divisors (1667192260).

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

1450400540 is a wasteful number, since it uses less digits than its factorization.

1450400540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8054 (or 8052 counting only the distinct ones).

The product of its (nonzero) digits is 1600, while the sum is 23.

The square root of 1450400540 is about 38084.1245140282. The cubic root of 1450400540 is about 1131.9554051447.

The spelling of 1450400540 in words is "one billion, four hundred fifty million, four hundred thousand, five hundred forty".

Divisors: 1 2 4 5 10 20 59 118 157 236 295 314 590 628 785 1180 1570 3140 7829 9263 15658 18526 31316 37052 39145 46315 78290 92630 156580 185260 461911 923822 1229153 1847644 2309555 2458306 4619110 4916612 6145765 9238220 12291530 24583060 72520027 145040054 290080108 362600135 725200270 1450400540