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139296768 = 215313109
BaseRepresentation
bin10000100110110…
…00000000000000
3100201010000020120
420103120000000
5241124444033
621453340240
73311001012
oct1023300000
9321100216
10139296768
11716a17a6
123a797680
1322b22230
14147001b2
15c3681b3
hex84d8000

139296768 has 128 divisors (see below), whose sum is σ = 403695600. Its totient is φ = 42467328.

The previous prime is 139296761. The next prime is 139296821. The reversal of 139296768 is 867692931.

It is a tau number, because it is divible by the number of its divisors (128).

It is a self number, because there is not a number n which added to its sum of digits gives 139296768.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (139296761) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1277898 + ... + 1278006.

Almost surely, 2139296768 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 139296768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (201847800).

139296768 is an abundant number, since it is smaller than the sum of its proper divisors (264398832).

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

139296768 is an equidigital number, since it uses as much as digits as its factorization.

139296768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 155 (or 127 counting only the distinct ones).

The product of its digits is 979776, while the sum is 51.

The square root of 139296768 is about 11802.4051786066. The cubic root of 139296768 is about 518.3785389683.

The spelling of 139296768 in words is "one hundred thirty-nine million, two hundred ninety-six thousand, seven hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 64 78 96 104 109 128 156 192 208 218 256 312 327 384 416 436 512 624 654 768 832 872 1024 1248 1308 1417 1536 1664 1744 2048 2496 2616 2834 3072 3328 3488 4096 4251 4992 5232 5668 6144 6656 6976 8192 8502 9984 10464 11336 12288 13312 13952 16384 17004 19968 20928 22672 24576 26624 27904 32768 34008 39936 41856 45344 49152 53248 55808 68016 79872 83712 90688 98304 106496 111616 136032 159744 167424 181376 212992 223232 272064 319488 334848 362752 425984 446464 544128 638976 669696 725504 892928 1088256 1277952 1339392 1451008 1785856 2176512 2678784 2902016 3571712 4353024 5357568 5804032 8706048 10715136 11608064 17412096 23216128 34824192 46432256 69648384 139296768