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70523280 = 24325412389
BaseRepresentation
bin1000011010000…
…01100110010000
311220200221202100
410031001212100
5121023221110
610555320400
71514303142
oct415014620
9156627670
1070523280
1136899203
121b750100
13117c2a69
14951ac92
1562d0bc0
hex4341990

70523280 has 120 divisors (see below), whose sum is σ = 242718840. Its totient is φ = 18339840.

The previous prime is 70523279. The next prime is 70523281. The reversal of 70523280 is 8232507.

It is an interprime number because it is at equal distance from previous prime (70523279) and next prime (70523281).

It can be written as a sum of positive squares in 4 ways, for example, as 767376 + 69755904 = 876^2 + 8352^2 .

It is a tau number, because it is divible by the number of its divisors (120).

It is not an unprimeable number, because it can be changed into a prime (70523281) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 28326 + ... + 30714.

It is an arithmetic number, because the mean of its divisors is an integer number (2022657).

Almost surely, 270523280 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 70523280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121359420).

70523280 is an abundant number, since it is smaller than the sum of its proper divisors (172195560).

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

70523280 is a wasteful number, since it uses less digits than its factorization.

70523280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2449 (or 2440 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

The square root of 70523280 is about 8397.8140012744. The cubic root of 70523280 is about 413.1529273983.

Adding to 70523280 its reverse (8232507), we get a palindrome (78755787).

The spelling of 70523280 in words is "seventy million, five hundred twenty-three thousand, two hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 36 40 41 45 48 60 72 80 82 90 120 123 144 164 180 205 240 246 328 360 369 410 492 615 656 720 738 820 984 1230 1476 1640 1845 1968 2389 2460 2952 3280 3690 4778 4920 5904 7167 7380 9556 9840 11945 14334 14760 19112 21501 23890 28668 29520 35835 38224 43002 47780 57336 71670 86004 95560 97949 107505 114672 143340 172008 191120 195898 215010 286680 293847 344016 391796 430020 489745 573360 587694 783592 860040 881541 979490 1175388 1469235 1567184 1720080 1763082 1958980 2350776 2938470 3526164 3917960 4407705 4701552 5876940 7052328 7835920 8815410 11753880 14104656 17630820 23507760 35261640 70523280