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139740288 = 27319107179
BaseRepresentation
bin10000101010001…
…00010010000000
3100201221112122020
420111010102000
5241233142123
621511041440
73314526042
oct1025042200
9321845566
10139740288
1171974a46
123a970280
1322c4907c
14147b7a92
15c4047e3
hex8544480

139740288 has 128 divisors (see below), whose sum is σ = 396576000. Its totient is φ = 43471872.

The previous prime is 139740287. The next prime is 139740301. The reversal of 139740288 is 882047931.

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

It is not an unprimeable number, because it can be changed into a prime (139740287) 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 15 ways as a sum of consecutive naturals, for example, 780583 + ... + 780761.

It is an arithmetic number, because the mean of its divisors is an integer number (3098250).

Almost surely, 2139740288 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 139740288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (198288000).

139740288 is an abundant number, since it is smaller than the sum of its proper divisors (256835712).

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

139740288 is a wasteful number, since it uses less digits than its factorization.

139740288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 322 (or 310 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 42.

The square root of 139740288 is about 11821.1796365676. The cubic root of 139740288 is about 518.9281273798.

The spelling of 139740288 in words is "one hundred thirty-nine million, seven hundred forty thousand, two hundred eighty-eight".

Divisors: 1 2 3 4 6 8 12 16 19 24 32 38 48 57 64 76 96 107 114 128 152 179 192 214 228 304 321 358 384 428 456 537 608 642 716 856 912 1074 1216 1284 1432 1712 1824 2033 2148 2432 2568 2864 3401 3424 3648 4066 4296 5136 5728 6099 6802 6848 7296 8132 8592 10203 10272 11456 12198 13604 13696 16264 17184 19153 20406 20544 22912 24396 27208 32528 34368 38306 40812 41088 48792 54416 57459 65056 68736 76612 81624 97584 108832 114918 130112 153224 163248 195168 217664 229836 260224 306448 326496 363907 390336 435328 459672 612896 652992 727814 780672 919344 1091721 1225792 1305984 1455628 1838688 2183442 2451584 2911256 3677376 4366884 5822512 7354752 8733768 11645024 17467536 23290048 34935072 46580096 69870144 139740288