Search a number
-
+
139918752 = 2534232347
BaseRepresentation
bin10000101011011…
…11110110100000
3100202021121110000
420111233312200
5241304400002
621514540000
73316201251
oct1025576640
9322247400
10139918752
1171a87036
123aa37600
1322cac37c
1414822b28
15c43c61c
hex856fda0

139918752 has 120 divisors (see below), whose sum is σ = 429571296. Its totient is φ = 44592768.

The previous prime is 139918739. The next prime is 139918783. The reversal of 139918752 is 257819931.

139918752 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1399187522 = 39154514322475008, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 139918698 and 139918707.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 58443 + ... + 60789.

Almost surely, 2139918752 is an apocalyptic number.

139918752 is a gapful number since it is divisible by the number (12) 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 139918752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (214785648).

139918752 is an abundant number, since it is smaller than the sum of its proper divisors (289652544).

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

139918752 is a wasteful number, since it uses less digits than its factorization.

139918752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2392 (or 2375 counting only the distinct ones).

The product of its digits is 136080, while the sum is 45.

The square root of 139918752 is about 11828.7257132795. The cubic root of 139918752 is about 519.1489431854.

The spelling of 139918752 in words is "one hundred thirty-nine million, nine hundred eighteen thousand, seven hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 23 24 27 32 36 46 48 54 69 72 81 92 96 108 138 144 162 184 207 216 276 288 324 368 414 432 552 621 648 736 828 864 1104 1242 1296 1656 1863 2208 2347 2484 2592 3312 3726 4694 4968 6624 7041 7452 9388 9936 14082 14904 18776 19872 21123 28164 29808 37552 42246 53981 56328 59616 63369 75104 84492 107962 112656 126738 161943 168984 190107 215924 225312 253476 323886 337968 380214 431848 485829 506952 647772 675936 760428 863696 971658 1013904 1295544 1457487 1520856 1727392 1943316 2027808 2591088 2914974 3041712 3886632 4372461 5182176 5829948 6083424 7773264 8744922 11659896 15546528 17489844 23319792 34979688 46639584 69959376 139918752