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139103200 = 2552317179
BaseRepresentation
bin10000100101010…
…00101111100000
3100200202011201101
420102220233200
5241102300300
621445244144
73306233455
oct1022505740
9320664641
10139103200
117157a325
123a703654
1322a850b2
141468d82c
15c32ab6a
hex84a8be0

139103200 has 144 divisors (see below), whose sum is σ = 359976960. Its totient is φ = 52416000.

The previous prime is 139103191. The next prime is 139103203. The reversal of 139103200 is 2301931.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (139103203) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1760761 + ... + 1760839.

It is an arithmetic number, because the mean of its divisors is an integer number (2499840).

Almost surely, 2139103200 is an apocalyptic number.

139103200 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 139103200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (179988480).

139103200 is an abundant number, since it is smaller than the sum of its proper divisors (220873760).

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

139103200 is a wasteful number, since it uses less digits than its factorization.

139103200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 201 (or 188 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 19.

The square root of 139103200 is about 11794.2019653726. The cubic root of 139103200 is about 518.1383132190.

The spelling of 139103200 in words is "one hundred thirty-nine million, one hundred three thousand, two hundred".

Divisors: 1 2 4 5 8 10 16 20 25 31 32 40 50 62 71 79 80 100 124 142 155 158 160 200 248 284 310 316 355 395 400 496 568 620 632 710 775 790 800 992 1136 1240 1264 1420 1550 1580 1775 1975 2201 2272 2449 2480 2528 2840 3100 3160 3550 3950 4402 4898 4960 5609 5680 6200 6320 7100 7900 8804 9796 11005 11218 11360 12245 12400 12640 14200 15800 17608 19592 22010 22436 24490 24800 28045 28400 31600 35216 39184 44020 44872 48980 55025 56090 56800 61225 63200 70432 78368 88040 89744 97960 110050 112180 122450 140225 173879 176080 179488 195920 220100 224360 244900 280450 347758 352160 391840 440200 448720 489800 560900 695516 869395 880400 897440 979600 1121800 1391032 1738790 1760800 1959200 2243600 2782064 3477580 4346975 4487200 5564128 6955160 8693950 13910320 17387900 27820640 34775800 69551600 139103200