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71242740 = 22355107137
BaseRepresentation
bin1000011111100…
…01001111110100
311222001111200000
410033301033310
5121214231430
611022551300
71523360532
oct417611764
9158044600
1071242740
113723a7a8
121ba38530
13119b538a
149667152
1563c3e60
hex43f13f4

71242740 has 144 divisors (see below), whose sum is σ = 227852352. Its totient is φ = 18683136.

The previous prime is 71242739. The next prime is 71242747. The reversal of 71242740 is 4724217.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (71242747) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 519952 + ... + 520088.

It is an arithmetic number, because the mean of its divisors is an integer number (1582308).

Almost surely, 271242740 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 71242740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113926176).

71242740 is an abundant number, since it is smaller than the sum of its proper divisors (156609612).

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

71242740 is a wasteful number, since it uses less digits than its factorization.

71242740 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 268 (or 254 counting only the distinct ones).

The product of its (nonzero) digits is 3136, while the sum is 27.

The square root of 71242740 is about 8440.5414518264. The cubic root of 71242740 is about 414.5531358750.

Adding to 71242740 its reverse (4724217), we get a palindrome (75966957).

The spelling of 71242740 in words is "seventy-one million, two hundred forty-two thousand, seven hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 81 90 107 108 135 137 162 180 214 243 270 274 321 324 405 411 428 486 535 540 548 642 685 810 822 963 972 1070 1215 1233 1284 1370 1605 1620 1644 1926 2055 2140 2430 2466 2740 2889 3210 3699 3852 4110 4815 4860 4932 5778 6165 6420 7398 8220 8667 9630 11097 11556 12330 14445 14659 14796 17334 18495 19260 22194 24660 26001 28890 29318 33291 34668 36990 43335 43977 44388 52002 55485 57780 58636 66582 73295 73980 86670 87954 104004 110970 130005 131931 133164 146590 166455 173340 175908 219885 221940 260010 263862 293180 332910 395793 439770 520020 527724 659655 665820 791586 879540 1187379 1319310 1583172 1978965 2374758 2638620 3562137 3957930 4749516 5936895 7124274 7915860 11873790 14248548 17810685 23747580 35621370 71242740