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1067380020 = 2232571749831
BaseRepresentation
bin111111100111101…
…110110100110100
32202101110112010100
4333213232310310
54141222130040
6253525354100
735310403050
oct7747566464
92671415110
101067380020
114a8565453
12259568930
1314019c315
14a1a8ac60
1563a90b30
hex3f9eed34

1067380020 has 144 divisors (see below), whose sum is σ = 3917991168. Its totient is φ = 229616640.

The previous prime is 1067380001. The next prime is 1067380051. The reversal of 1067380020 is 200837601.

It is a super-2 number, since 2×10673800202 = 2278600214190400800, which contains 22 as substring.

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, 3496 + ... + 46335.

It is an arithmetic number, because the mean of its divisors is an integer number (27208272).

Almost surely, 21067380020 is an apocalyptic number.

1067380020 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 1067380020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1958995584).

1067380020 is an abundant number, since it is smaller than the sum of its proper divisors (2850611148).

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

1067380020 is a wasteful number, since it uses less digits than its factorization.

1067380020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 49870 (or 49865 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 1067380020 is about 32670.7823597783. The cubic root of 1067380020 is about 1021.9736296800.

The spelling of 1067380020 in words is "one billion, sixty-seven million, three hundred eighty thousand, twenty".

Divisors: 1 2 3 4 5 6 7 9 10 12 14 15 17 18 20 21 28 30 34 35 36 42 45 51 60 63 68 70 84 85 90 102 105 119 126 140 153 170 180 204 210 238 252 255 306 315 340 357 420 476 510 595 612 630 714 765 1020 1071 1190 1260 1428 1530 1785 2142 2380 3060 3570 4284 5355 7140 10710 21420 49831 99662 149493 199324 249155 298986 348817 448479 498310 597972 697634 747465 847127 896958 996620 1046451 1395268 1494930 1694254 1744085 1793916 2092902 2242395 2541381 2989860 3139353 3388508 3488170 4185804 4235635 4484790 5082762 5232255 5929889 6278706 6976340 7624143 8471270 8969580 10165524 10464510 11859778 12557412 12706905 15248286 15696765 16942540 17789667 20929020 23719556 25413810 29649445 30496572 31393530 35579334 38120715 50827620 53369001 59298890 62787060 71158668 76241430 88948335 106738002 118597780 152482860 177896670 213476004 266845005 355793340 533690010 1067380020