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67100020 = 225131721947
BaseRepresentation
bin1111111111110…
…1110101110100
311200021000220221
43333331311310
5114134200040
610354104124
71443224611
oct377756564
9150230827
1067100020
1134970269
121a57b044
1310b94870
148ca9508
155d5674a
hex3ffdd74

67100020 has 144 divisors (see below), whose sum is σ = 173295360. Its totient is φ = 21620736.

The previous prime is 67100017. The next prime is 67100087. The reversal of 67100020 is 2000176.

It is a junction number, because it is equal to n+sod(n) for n = 67099967 and 67100003.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1427637 + ... + 1427683.

It is an arithmetic number, because the mean of its divisors is an integer number (1203440).

Almost surely, 267100020 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 67100020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86647680).

67100020 is an abundant number, since it is smaller than the sum of its proper divisors (106195340).

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

67100020 is a wasteful number, since it uses less digits than its factorization.

67100020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 122 (or 103 counting only the distinct ones).

The product of its (nonzero) digits is 84, while the sum is 16.

The square root of 67100020 is about 8191.4601872926. The cubic root of 67100020 is about 406.3568170399.

Adding to 67100020 its reverse (2000176), we get a palindrome (69100196).

The spelling of 67100020 in words is "sixty-seven million, one hundred thousand, twenty".

Divisors: 1 2 4 5 10 13 17 19 20 26 34 38 47 52 65 68 76 85 94 95 130 170 188 190 221 235 247 260 289 323 340 380 442 470 494 578 611 646 799 884 893 940 988 1105 1156 1222 1235 1292 1445 1598 1615 1786 2210 2444 2470 2890 3055 3196 3230 3572 3757 3995 4199 4420 4465 4940 5491 5780 6110 6460 7514 7990 8398 8930 10387 10982 11609 12220 13583 15028 15181 15980 16796 17860 18785 20774 20995 21964 23218 27166 27455 30362 37570 41548 41990 46436 51935 54332 54910 58045 60724 67915 71383 75140 75905 83980 103870 109820 116090 135830 142766 151810 176579 197353 207740 232180 258077 271660 285532 303620 353158 356915 394706 516154 706316 713830 789412 882895 986765 1032308 1290385 1427660 1765790 1973530 2580770 3355001 3531580 3947060 5161540 6710002 13420004 16775005 33550010 67100020