Search a number
-
+
1397839536 = 243223587719
BaseRepresentation
bin101001101010001…
…0101011010110000
310121102021121100200
41103110111122300
510330321331121
6350412315200
746432303632
oct12324253260
93542247320
101397839536
11658053595
12330172b00
131937a32b2
14d390ca52
1582ab9a26
hex535156b0

1397839536 has 120 divisors (see below), whose sum is σ = 4094737920. Its totient is φ = 444309888.

The previous prime is 1397839529. The next prime is 1397839537. The reversal of 1397839536 is 6359387931.

1397839536 is a `hidden beast` number, since 1 + 3 + 9 + 78 + 39 + 536 = 666.

It is not an unprimeable number, because it can be changed into a prime (1397839537) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1943785 + ... + 1944503.

It is an arithmetic number, because the mean of its divisors is an integer number (34122816).

Almost surely, 21397839536 is an apocalyptic number.

1397839536 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 1397839536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2047368960).

1397839536 is an abundant number, since it is smaller than the sum of its proper divisors (2696898384).

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

1397839536 is a wasteful number, since it uses less digits than its factorization.

1397839536 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1343 (or 1334 counting only the distinct ones).

The product of its digits is 3674160, while the sum is 54.

The square root of 1397839536 is about 37387.6923064262. The cubic root of 1397839536 is about 1118.1131964883.

The spelling of 1397839536 in words is "one billion, three hundred ninety-seven million, eight hundred thirty-nine thousand, five hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 23 24 36 46 48 69 72 92 138 144 184 207 276 368 414 552 587 719 828 1104 1174 1438 1656 1761 2157 2348 2876 3312 3522 4314 4696 5283 5752 6471 7044 8628 9392 10566 11504 12942 13501 14088 16537 17256 21132 25884 27002 28176 33074 34512 40503 42264 49611 51768 54004 66148 81006 84528 99222 103536 108008 121509 132296 148833 162012 198444 216016 243018 264592 297666 324024 396888 422053 486036 595332 648048 793776 844106 972072 1190664 1266159 1688212 1944144 2381328 2532318 3376424 3798477 5064636 6752848 7596954 9707219 10129272 15193908 19414438 20258544 29121657 30387816 38828876 58243314 60775632 77657752 87364971 116486628 155315504 174729942 232973256 349459884 465946512 698919768 1397839536