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1389616128 = 2103350261
BaseRepresentation
bin101001011010011…
…1101110000000000
310120211210210222000
41102310331300000
510321220204003
6345520144000
746302353655
oct12264756000
93524723860
101389616128
1165344718a
12329468000
13191b84284
14d27abc2c
1581ee31a3
hex52d3dc00

1389616128 has 88 divisors (see below), whose sum is σ = 4115452560. Its totient is φ = 463196160.

The previous prime is 1389616127. The next prime is 1389616181. The reversal of 1389616128 is 8216169831.

1389616128 is a `hidden beast` number, since 1 + 3 + 8 + 9 + 616 + 1 + 28 = 666.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1389616121) 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 7 ways as a sum of consecutive naturals, for example, 2518 + ... + 52778.

Almost surely, 21389616128 is an apocalyptic number.

1389616128 is a gapful number since it is divisible by the number (18) 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 1389616128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2057726280).

1389616128 is an abundant number, since it is smaller than the sum of its proper divisors (2725836432).

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

1389616128 is an equidigital number, since it uses as much as digits as its factorization.

1389616128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50290 (or 50266 counting only the distinct ones).

The product of its digits is 124416, while the sum is 45.

The square root of 1389616128 is about 37277.5552846482. Note that the first 3 decimals coincide. The cubic root of 1389616128 is about 1115.9162846210.

The spelling of 1389616128 in words is "one billion, three hundred eighty-nine million, six hundred sixteen thousand, one hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 128 144 192 216 256 288 384 432 512 576 768 864 1024 1152 1536 1728 2304 3072 3456 4608 6912 9216 13824 27648 50261 100522 150783 201044 301566 402088 452349 603132 804176 904698 1206264 1357047 1608352 1809396 2412528 2714094 3216704 3618792 4825056 5428188 6433408 7237584 9650112 10856376 12866816 14475168 19300224 21712752 25733632 28950336 38600448 43425504 51467264 57900672 77200896 86851008 115801344 154401792 173702016 231602688 347404032 463205376 694808064 1389616128