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139288576 = 21372347
BaseRepresentation
bin10000100110101…
…10000000000000
3100201002121000011
420103112000000
5241124213301
621453234304
73310635100
oct1023260000
9321077004
10139288576
1171696629
123a792994
1322b1b59b
14146db200
15c365a51
hex84d6000

139288576 has 84 divisors (see below), whose sum is σ = 324973188. Its totient is φ = 59523072.

The previous prime is 139288561. The next prime is 139288577. The reversal of 139288576 is 675882931.

It is a Harshad number since it is a multiple of its sum of digits (49).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (139288577) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 401235 + ... + 401581.

Almost surely, 2139288576 is an apocalyptic number.

139288576 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 139288576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162486594).

139288576 is an abundant number, since it is smaller than the sum of its proper divisors (185684612).

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

139288576 is an frugal number, since it uses more digits than its factorization.

139288576 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 387 (or 356 counting only the distinct ones).

The product of its digits is 725760, while the sum is 49.

The square root of 139288576 is about 11802.0581255983. The cubic root of 139288576 is about 518.3683768750.

The spelling of 139288576 in words is "one hundred thirty-nine million, two hundred eighty-eight thousand, five hundred seventy-six".

Divisors: 1 2 4 7 8 14 16 28 32 49 56 64 98 112 128 196 224 256 347 392 448 512 694 784 896 1024 1388 1568 1792 2048 2429 2776 3136 3584 4096 4858 5552 6272 7168 8192 9716 11104 12544 14336 17003 19432 22208 25088 28672 34006 38864 44416 50176 57344 68012 77728 88832 100352 136024 155456 177664 200704 272048 310912 355328 401408 544096 621824 710656 1088192 1243648 1421312 2176384 2487296 2842624 4352768 4974592 8705536 9949184 17411072 19898368 34822144 69644288 139288576