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1538434480 = 245112716451
BaseRepresentation
bin101101110110010…
…1010010110110000
310222012211120100211
41123230222112300
511122314400410
6412353553504
753060322502
oct13354522660
93865746324
101538434480
1171a451660
1236b275894
131b695b37b
14108469d72
15900dc68a
hex5bb2a5b0

1538434480 has 80 divisors (see below), whose sum is σ = 3917035008. Its totient is φ = 557280000.

The previous prime is 1538434463. The next prime is 1538434481. The reversal of 1538434480 is 844348351.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (40).

It is not an unprimeable number, because it can be changed into a prime (1538434481) 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, 235255 + ... + 241705.

Almost surely, 21538434480 is an apocalyptic number.

1538434480 is a gapful number since it is divisible by the number (10) 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 1538434480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1958517504).

1538434480 is an abundant number, since it is smaller than the sum of its proper divisors (2378600528).

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

1538434480 is a wasteful number, since it uses less digits than its factorization.

1538434480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6746 (or 6740 counting only the distinct ones).

The product of its (nonzero) digits is 184320, while the sum is 40.

The square root of 1538434480 is about 39222.8820970617. The cubic root of 1538434480 is about 1154.4089052704.

The spelling of 1538434480 in words is "one billion, five hundred thirty-eight million, four hundred thirty-four thousand, four hundred eighty".

Divisors: 1 2 4 5 8 10 11 16 20 22 40 44 55 80 88 110 176 220 271 440 542 880 1084 1355 2168 2710 2981 4336 5420 5962 6451 10840 11924 12902 14905 21680 23848 25804 29810 32255 47696 51608 59620 64510 70961 103216 119240 129020 141922 238480 258040 283844 354805 516080 567688 709610 1135376 1419220 1748221 2838440 3496442 5676880 6992884 8741105 13985768 17482210 19230431 27971536 34964420 38460862 69928840 76921724 96152155 139857680 153843448 192304310 307686896 384608620 769217240 1538434480