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139440 = 2435783
BaseRepresentation
bin100010000010110000
321002021110
4202002300
513430230
62553320
71120350
oct420260
9232243
10139440
1195844
1268840
134b612
1438b60
152b4b0
hex220b0

139440 has 80 divisors (see below), whose sum is σ = 499968. Its totient is φ = 31488.

The previous prime is 139439. The next prime is 139457. The reversal of 139440 is 44931.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (21).

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 139440.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1639 + ... + 1721.

2139440 is an apocalyptic number.

139440 is a gapful number since it is divisible by the number (10) 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 139440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (249984).

139440 is an abundant number, since it is smaller than the sum of its proper divisors (360528).

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

139440 is a wasteful number, since it uses less digits than its factorization.

139440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 106 (or 100 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 21.

The square root of 139440 is about 373.4166573681. The cubic root of 139440 is about 51.8556152471.

It can be divided in two parts, 13 and 9440, that added together give a triangular number (9453 = T137).

The spelling of 139440 in words is "one hundred thirty-nine thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 28 30 35 40 42 48 56 60 70 80 83 84 105 112 120 140 166 168 210 240 249 280 332 336 415 420 498 560 581 664 830 840 996 1162 1245 1328 1660 1680 1743 1992 2324 2490 2905 3320 3486 3984 4648 4980 5810 6640 6972 8715 9296 9960 11620 13944 17430 19920 23240 27888 34860 46480 69720 139440