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70452480 = 283572621
BaseRepresentation
bin1000011001100…
…00010100000000
311220120100122010
410030300110000
5121013434410
610554012520
71513556550
oct414602400
9156510563
1070452480
113684aa9a
121b717140
1311799777
1494dd160
1562b9c20
hex4330500

70452480 has 144 divisors (see below), whose sum is σ = 257249664. Its totient is φ = 16097280.

The previous prime is 70452479. The next prime is 70452497. The reversal of 70452480 is 8425407.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 25570 + ... + 28190.

It is an arithmetic number, because the mean of its divisors is an integer number (1786456).

Almost surely, 270452480 is an apocalyptic number.

70452480 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 70452480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128624832).

70452480 is an abundant number, since it is smaller than the sum of its proper divisors (186797184).

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

70452480 is a wasteful number, since it uses less digits than its factorization.

70452480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2652 (or 2638 counting only the distinct ones).

The product of its (nonzero) digits is 8960, while the sum is 30.

The square root of 70452480 is about 8393.5975600454. The cubic root of 70452480 is about 413.0146230852.

Adding to 70452480 its reverse (8425407), we get a palindrome (78877887).

The spelling of 70452480 in words is "seventy million, four hundred fifty-two thousand, four hundred eighty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 28 30 32 35 40 42 48 56 60 64 70 80 84 96 105 112 120 128 140 160 168 192 210 224 240 256 280 320 336 384 420 448 480 560 640 672 768 840 896 960 1120 1280 1344 1680 1792 1920 2240 2621 2688 3360 3840 4480 5242 5376 6720 7863 8960 10484 13105 13440 15726 18347 20968 26210 26880 31452 36694 39315 41936 52420 55041 62904 73388 78630 83872 91735 104840 110082 125808 146776 157260 167744 183470 209680 220164 251616 275205 293552 314520 335488 366940 419360 440328 503232 550410 587104 629040 670976 733880 838720 880656 1006464 1100820 1174208 1258080 1467760 1677440 1761312 2012928 2201640 2348416 2516160 2935520 3354880 3522624 4403280 4696832 5032320 5871040 7045248 8806560 10064640 11742080 14090496 17613120 23484160 35226240 70452480