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139298400 = 2533526449
BaseRepresentation
bin10000100110110…
…00011001100000
3100201010002111000
420103120121200
5241130022100
621453352000
73311005533
oct1023303140
9321102430
10139298400
11716a2a4a
123a798600
1322b22bb7
1414700a1a
15c368900
hex84d8660

139298400 has 144 divisors (see below), whose sum is σ = 503874000. Its totient is φ = 37140480.

The previous prime is 139298399. The next prime is 139298413. The reversal of 139298400 is 4892931.

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

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a zygodrome in base 7.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 18376 + ... + 24824.

It is an arithmetic number, because the mean of its divisors is an integer number (3499125).

Almost surely, 2139298400 is an apocalyptic number.

139298400 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 139298400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (251937000).

139298400 is an abundant number, since it is smaller than the sum of its proper divisors (364575600).

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

139298400 is a wasteful number, since it uses less digits than its factorization.

139298400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6478 (or 6459 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

The square root of 139298400 is about 11802.4743168541. The cubic root of 139298400 is about 518.3805634002.

The spelling of 139298400 in words is "one hundred thirty-nine million, two hundred ninety-eight thousand, four hundred".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 25 27 30 32 36 40 45 48 50 54 60 72 75 80 90 96 100 108 120 135 144 150 160 180 200 216 225 240 270 288 300 360 400 432 450 480 540 600 675 720 800 864 900 1080 1200 1350 1440 1800 2160 2400 2700 3600 4320 5400 6449 7200 10800 12898 19347 21600 25796 32245 38694 51592 58041 64490 77388 96735 103184 116082 128980 154776 161225 174123 193470 206368 232164 257960 290205 309552 322450 348246 386940 464328 483675 515920 580410 619104 644900 696492 773880 870615 928656 967350 1031840 1160820 1289800 1392984 1451025 1547760 1741230 1857312 1934700 2321640 2579600 2785968 2902050 3095520 3482460 3869400 4353075 4643280 5159200 5571936 5804100 6964920 7738800 8706150 9286560 11608200 13929840 15477600 17412300 23216400 27859680 34824600 46432800 69649200 139298400