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67139100 = 223252710657
BaseRepresentation
bin1000000000001…
…11011000011100
311200100000112100
410000013120130
5114141422400
610355005100
71443446550
oct400073034
9150300470
1067139100
1134997666
121a599790
1310ba95a2
148cb9860
155d63100
hex400761c

67139100 has 108 divisors (see below), whose sum is σ = 240529744. Its totient is φ = 15344640.

The previous prime is 67139071. The next prime is 67139113. The reversal of 67139100 is 193176.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 972 + ... + 11628.

Almost surely, 267139100 is an apocalyptic number.

67139100 is a gapful number since it is divisible by the number (60) 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 67139100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120264872).

67139100 is an abundant number, since it is smaller than the sum of its proper divisors (173390644).

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

67139100 is a wasteful number, since it uses less digits than its factorization.

67139100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10684 (or 10674 counting only the distinct ones).

The product of its (nonzero) digits is 1134, while the sum is 27.

The square root of 67139100 is about 8193.8452511626. The cubic root of 67139100 is about 406.4356910472.

The spelling of 67139100 in words is "sixty-seven million, one hundred thirty-nine thousand, one hundred".

Divisors: 1 2 3 4 5 6 7 9 10 12 14 15 18 20 21 25 28 30 35 36 42 45 50 60 63 70 75 84 90 100 105 126 140 150 175 180 210 225 252 300 315 350 420 450 525 630 700 900 1050 1260 1575 2100 3150 6300 10657 21314 31971 42628 53285 63942 74599 95913 106570 127884 149198 159855 191826 213140 223797 266425 298396 319710 372995 383652 447594 479565 532850 639420 671391 745990 799275 895188 959130 1065700 1118985 1342782 1491980 1598550 1864975 1918260 2237970 2397825 2685564 3197100 3356955 3729950 4475940 4795650 5594925 6713910 7459900 9591300 11189850 13427820 16784775 22379700 33569550 67139100