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139105680 = 24357312671
BaseRepresentation
bin10000100101010…
…01010110010000
3100200202022010020
420102221112100
5241102340210
621445303440
73306243630
oct1022512620
9320668106
10139105680
117158117a
123a704b80
1322a8626c
14146906c0
15c32b770
hex84a9590

139105680 has 160 divisors (see below), whose sum is σ = 508919808. Its totient is φ = 30758400.

The previous prime is 139105643. The next prime is 139105693. The reversal of 139105680 is 86501931.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 50745 + ... + 53415.

Almost surely, 2139105680 is an apocalyptic number.

139105680 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 139105680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (254459904).

139105680 is an abundant number, since it is smaller than the sum of its proper divisors (369814128).

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

139105680 is a wasteful number, since it uses less digits than its factorization.

139105680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2725 (or 2719 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 33.

The square root of 139105680 is about 11794.3071013095. The cubic root of 139105680 is about 518.1413924086.

The spelling of 139105680 in words is "one hundred thirty-nine million, one hundred five thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 28 30 31 35 40 42 48 56 60 62 70 80 84 93 105 112 120 124 140 155 168 186 210 217 240 248 280 310 336 372 420 434 465 496 560 620 651 744 840 868 930 1085 1240 1302 1488 1680 1736 1860 2170 2480 2604 2671 3255 3472 3720 4340 5208 5342 6510 7440 8013 8680 10416 10684 13020 13355 16026 17360 18697 21368 26040 26710 32052 37394 40065 42736 52080 53420 56091 64104 74788 80130 82801 93485 106840 112182 128208 149576 160260 165602 186970 213680 224364 248403 280455 299152 320520 331204 373940 414005 448728 496806 560910 579607 641040 662408 747880 828010 897456 993612 1121820 1159214 1242015 1324816 1495760 1656020 1738821 1987224 2243640 2318428 2484030 2898035 3312040 3477642 3974448 4487280 4636856 4968060 5796070 6624080 6955284 8694105 9273712 9936120 11592140 13910568 17388210 19872240 23184280 27821136 34776420 46368560 69552840 139105680