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139918464 = 2732717351
BaseRepresentation
bin10000101011011…
…11110010000000
3100202021121001100
420111233302000
5241304342324
621514534400
73316200360
oct1025576200
9322247040
10139918464
1171a868a4
123aa37400
1322cac1ba
14148229a0
15c43c4c9
hex856fc80

139918464 has 96 divisors (see below), whose sum is σ = 460175040. Its totient is φ = 39974400.

The previous prime is 139918459. The next prime is 139918477. The reversal of 139918464 is 464819931.

It is a tau number, because it is divible by the number of its divisors (96).

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

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 612 + ... + 16739.

It is an arithmetic number, because the mean of its divisors is an integer number (4793490).

Almost surely, 2139918464 is an apocalyptic number.

139918464 is a gapful number since it is divisible by the number (14) 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 139918464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (230087520).

139918464 is an abundant number, since it is smaller than the sum of its proper divisors (320256576).

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

139918464 is a wasteful number, since it uses less digits than its factorization.

139918464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17378 (or 17363 counting only the distinct ones).

The product of its digits is 186624, while the sum is 45.

The square root of 139918464 is about 11828.7135395190. The cubic root of 139918464 is about 519.1485869906.

The spelling of 139918464 in words is "one hundred thirty-nine million, nine hundred eighteen thousand, four hundred sixty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 56 63 64 72 84 96 112 126 128 144 168 192 224 252 288 336 384 448 504 576 672 896 1008 1152 1344 2016 2688 4032 8064 17351 34702 52053 69404 104106 121457 138808 156159 208212 242914 277616 312318 364371 416424 485828 555232 624636 728742 832848 971656 1093113 1110464 1249272 1457484 1665696 1943312 2186226 2220928 2498544 2914968 3331392 3886624 4372452 4997088 5829936 6662784 7773248 8744904 9994176 11659872 15546496 17489808 19988352 23319744 34979616 46639488 69959232 139918464