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1388540976 = 243198917107
BaseRepresentation
bin101001011000011…
…0111010000110000
310120202210012010120
41102300313100300
510320431302401
6345441130240
746260255264
oct12260672060
93522705116
101388540976
11652882429
12329029980
13191898aa4
14d25ac0a4
1581d7e836
hex52c37430

1388540976 has 80 divisors (see below), whose sum is σ = 3818505600. Its totient is φ = 433534464.

The previous prime is 1388540971. The next prime is 1388540999. The reversal of 1388540976 is 6790458831.

It is not an unprimeable number, because it can be changed into a prime (1388540971) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 72615 + ... + 89721.

It is an arithmetic number, because the mean of its divisors is an integer number (47731320).

Almost surely, 21388540976 is an apocalyptic number.

1388540976 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 1388540976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1909252800).

1388540976 is an abundant number, since it is smaller than the sum of its proper divisors (2429964624).

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

1388540976 is a wasteful number, since it uses less digits than its factorization.

1388540976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17226 (or 17220 counting only the distinct ones).

The product of its (nonzero) digits is 1451520, while the sum is 51.

The square root of 1388540976 is about 37263.1315914269. The cubic root of 1388540976 is about 1115.6284139496.

The spelling of 1388540976 in words is "one billion, three hundred eighty-eight million, five hundred forty thousand, nine hundred seventy-six".

Divisors: 1 2 3 4 6 8 12 16 19 24 38 48 57 76 89 114 152 178 228 267 304 356 456 534 712 912 1068 1424 1691 2136 3382 4272 5073 6764 10146 13528 17107 20292 27056 34214 40584 51321 68428 81168 102642 136856 205284 273712 325033 410568 650066 821136 975099 1300132 1522523 1950198 2600264 3045046 3900396 4567569 5200528 6090092 7800792 9135138 12180184 15601584 18270276 24360368 28927937 36540552 57855874 73081104 86783811 115711748 173567622 231423496 347135244 462846992 694270488 1388540976