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139432032 = 25321983307
BaseRepresentation
bin10000100111110…
…01000001100000
3100201100212210100
420103321001200
5241143311112
621500302400
73312103245
oct1023710140
9321325710
10139432032
1171784393
123a841a00
1322b6b97c
14147375cc
15c3932dc
hex84f9060

139432032 has 144 divisors (see below), whose sum is σ = 423783360. Its totient is φ = 43358976.

The previous prime is 139432019. The next prime is 139432039. The reversal of 139432032 is 230234931.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (144).

It is a junction number, because it is equal to n+sod(n) for n = 139431987 and 139432005.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (139432039) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 454023 + ... + 454329.

It is an arithmetic number, because the mean of its divisors is an integer number (2942940).

Almost surely, 2139432032 is an apocalyptic number.

139432032 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 139432032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (211891680).

139432032 is an abundant number, since it is smaller than the sum of its proper divisors (284351328).

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

139432032 is a wasteful number, since it uses less digits than its factorization.

139432032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 425 (or 414 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 27.

The square root of 139432032 is about 11808.1341455795. The cubic root of 139432032 is about 518.5462750231.

Adding to 139432032 its reverse (230234931), we get a palindrome (369666963).

The spelling of 139432032 in words is "one hundred thirty-nine million, four hundred thirty-two thousand, thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 19 24 32 36 38 48 57 72 76 83 96 114 144 152 166 171 228 249 288 304 307 332 342 456 498 608 614 664 684 747 912 921 996 1228 1328 1368 1494 1577 1824 1842 1992 2456 2656 2736 2763 2988 3154 3684 3984 4731 4912 5472 5526 5833 5976 6308 7368 7968 9462 9824 11052 11666 11952 12616 14193 14736 17499 18924 22104 23332 23904 25232 25481 28386 29472 34998 37848 44208 46664 50464 50962 52497 56772 69996 75696 76443 88416 93328 101924 104994 113544 139992 151392 152886 186656 203848 209988 227088 229329 279984 305772 407696 419976 454176 458658 484139 559968 611544 815392 839952 917316 968278 1223088 1452417 1679904 1834632 1936556 2446176 2904834 3669264 3873112 4357251 5809668 7338528 7746224 8714502 11619336 15492448 17429004 23238672 34858008 46477344 69716016 139432032