Search a number
-
+
1388605696 = 281721372
BaseRepresentation
bin101001011000100…
…0111000100000000
310120202220110220121
41102301013010000
510320440340241
6345442350024
746260645052
oct12261070400
93522813817
101388605696
11652917015
1232905b314
131918bc39a
14d25c78d2
1581d93ad1
hex52c47100

1388605696 has 81 divisors (see below), whose sum is σ = 2966073439. Its totient is φ = 648691712.

The previous prime is 1388605693. The next prime is 1388605711. The reversal of 1388605696 is 6965068831.

The square root of 1388605696 is 37264.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 194212096 + 1194393600 = 13936^2 + 34560^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1388605693) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 10135740 + ... + 10135876.

Almost surely, 21388605696 is an apocalyptic number.

1388605696 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

1388605696 is the 37264-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1388605696

1388605696 is an abundant number, since it is smaller than the sum of its proper divisors (1577467743).

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

1388605696 is an frugal number, since it uses more digits than its factorization.

1388605696 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 324 (or 156 counting only the distinct ones).

The product of its (nonzero) digits is 1866240, while the sum is 52.

The cubic root of 1388605696 is about 1115.6457468553.

The spelling of 1388605696 in words is "one billion, three hundred eighty-eight million, six hundred five thousand, six hundred ninety-six".

Divisors: 1 2 4 8 16 17 32 34 64 68 128 136 137 256 272 274 289 544 548 578 1088 1096 1156 2176 2192 2312 2329 4352 4384 4624 4658 8768 9248 9316 17536 18496 18632 18769 35072 36992 37264 37538 39593 73984 74528 75076 79186 149056 150152 158372 298112 300304 316744 319073 596224 600608 633488 638146 1201216 1266976 1276292 2402432 2533952 2552584 4804864 5067904 5105168 5424241 10135808 10210336 10848482 20420672 21696964 40841344 43393928 81682688 86787856 173575712 347151424 694302848 1388605696