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1381052416 = 2121931747
BaseRepresentation
bin101001001010001…
…0011000000000000
310120020200201202111
41102110103000000
510312022134131
6345012425104
746136515612
oct12224230000
93506621674
101381052416
11649628137
12326618194
131901763a3
14d15bcdb2
15813a0ab1
hex52513000

1381052416 has 52 divisors (see below), whose sum is σ = 2777666392. Its totient is φ = 686555136.

The previous prime is 1381052401. The next prime is 1381052447. The reversal of 1381052416 is 6142501831.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 789655 + ... + 791401.

Almost surely, 21381052416 is an apocalyptic number.

1381052416 is a gapful number since it is divisible by the number (16) 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 1381052416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1388833196).

1381052416 is an abundant number, since it is smaller than the sum of its proper divisors (1396613976).

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

1381052416 is an equidigital number, since it uses as much as digits as its factorization.

1381052416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1964 (or 1942 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 31.

The square root of 1381052416 is about 37162.5135856013. The cubic root of 1381052416 is about 1113.6192272190.

The spelling of 1381052416 in words is "one billion, three hundred eighty-one million, fifty-two thousand, four hundred sixteen".

Divisors: 1 2 4 8 16 32 64 128 193 256 386 512 772 1024 1544 1747 2048 3088 3494 4096 6176 6988 12352 13976 24704 27952 49408 55904 98816 111808 197632 223616 337171 395264 447232 674342 790528 894464 1348684 1788928 2697368 3577856 5394736 7155712 10789472 21578944 43157888 86315776 172631552 345263104 690526208 1381052416