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1542606640 = 245157122819
BaseRepresentation
bin101101111110010…
…0100111100110000
310222111200112111021
41123330210330300
511124401403030
6413023225224
753140640311
oct13374447460
93874615437
101542606640
11721841223
12370748214
131b778c3c3
14108c34608
159066397a
hex5bf24f30

1542606640 has 40 divisors (see below), whose sum is σ = 3609434160. Its totient is φ = 613107456.

The previous prime is 1542606631. The next prime is 1542606647. The reversal of 1542606640 is 466062451.

It is a tau number, because it is divible by the number of its divisors (40).

It is a junction number, because it is equal to n+sod(n) for n = 1542606596 and 1542606605.

It is not an unprimeable number, because it can be changed into a prime (1542606647) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 48850 + ... + 73969.

It is an arithmetic number, because the mean of its divisors is an integer number (90235854).

Almost surely, 21542606640 is an apocalyptic number.

1542606640 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1542606640 is an abundant number, since it is smaller than the sum of its proper divisors (2066827520).

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

1542606640 is a wasteful number, since it uses less digits than its factorization.

1542606640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 122989 (or 122983 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 34.

The square root of 1542606640 is about 39276.0313677439. The cubic root of 1542606640 is about 1155.4515303848.

The spelling of 1542606640 in words is "one billion, five hundred forty-two million, six hundred six thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 16 20 40 80 157 314 628 785 1256 1570 2512 3140 6280 12560 122819 245638 491276 614095 982552 1228190 1965104 2456380 4912760 9825520 19282583 38565166 77130332 96412915 154260664 192825830 308521328 385651660 771303320 1542606640