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71002260 = 223257371523
BaseRepresentation
bin1000011101101…
…10100010010100
311221121021210100
410032312202110
5121134033020
611013454100
71521336450
oct416664224
9157537710
1071002260
113709605a
121b941330
131192ca94
149603660
156377a90
hex43b6894

71002260 has 144 divisors (see below), whose sum is σ = 252959616. Its totient is φ = 15780096.

The previous prime is 71002247. The next prime is 71002301. The reversal of 71002260 is 6220017.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (18).

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, 45859 + ... + 47381.

It is an arithmetic number, because the mean of its divisors is an integer number (1756664).

Almost surely, 271002260 is an apocalyptic number.

71002260 is a gapful number since it is divisible by the number (70) 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 71002260, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126479808).

71002260 is an abundant number, since it is smaller than the sum of its proper divisors (181957356).

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

71002260 is a wasteful number, since it uses less digits than its factorization.

71002260 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1582 (or 1577 counting only the distinct ones).

The product of its (nonzero) digits is 168, while the sum is 18.

The square root of 71002260 is about 8426.2838784366. The cubic root of 71002260 is about 414.0861684394.

Adding to 71002260 its reverse (6220017), we get a palindrome (77222277).

The spelling of 71002260 in words is "seventy-one million, two thousand, two hundred sixty".

Divisors: 1 2 3 4 5 6 7 9 10 12 14 15 18 20 21 28 30 35 36 37 42 45 60 63 70 74 84 90 105 111 126 140 148 180 185 210 222 252 259 315 333 370 420 444 518 555 630 666 740 777 1036 1110 1260 1295 1332 1523 1554 1665 2220 2331 2590 3046 3108 3330 3885 4569 4662 5180 6092 6660 7615 7770 9138 9324 10661 11655 13707 15230 15540 18276 21322 22845 23310 27414 30460 31983 42644 45690 46620 53305 54828 56351 63966 68535 91380 95949 106610 112702 127932 137070 159915 169053 191898 213220 225404 274140 281755 319830 338106 383796 394457 479745 507159 563510 639660 676212 788914 845265 959490 1014318 1127020 1183371 1577828 1690530 1918980 1972285 2028636 2366742 2535795 3381060 3550113 3944570 4733484 5071590 5916855 7100226 7889140 10143180 11833710 14200452 17750565 23667420 35501130 71002260