Search a number
-
+
70440720 = 24357231823
BaseRepresentation
bin1000011001011…
…01011100010000
311220112202111120
410030231130100
5121013100340
610553442240
71513510350
oct414553420
9156482446
1070440720
1136842179
121b710380
13117942cc
1494d8b60
1562b64d0
hex432d710

70440720 has 160 divisors (see below), whose sum is σ = 260554752. Its totient is φ = 15392256.

The previous prime is 70440703. The next prime is 70440731. The reversal of 70440720 is 2704407.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 37729 + ... + 39551.

Almost surely, 270440720 is an apocalyptic number.

70440720 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 70440720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130277376).

70440720 is an abundant number, since it is smaller than the sum of its proper divisors (190114032).

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

70440720 is a wasteful number, since it uses less digits than its factorization.

70440720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1869 (or 1863 counting only the distinct ones).

The product of its (nonzero) digits is 1568, while the sum is 24.

The square root of 70440720 is about 8392.8969968659. The cubic root of 70440720 is about 412.9916415320.

The spelling of 70440720 in words is "seventy million, four hundred forty thousand, seven hundred twenty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 23 24 28 30 35 40 42 46 48 56 60 69 70 80 84 92 105 112 115 120 138 140 161 168 184 210 230 240 276 280 322 336 345 368 420 460 483 552 560 644 690 805 840 920 966 1104 1288 1380 1610 1680 1823 1840 1932 2415 2576 2760 3220 3646 3864 4830 5469 5520 6440 7292 7728 9115 9660 10938 12761 12880 14584 18230 19320 21876 25522 27345 29168 36460 38283 38640 41929 43752 51044 54690 63805 72920 76566 83858 87504 102088 109380 125787 127610 145840 153132 167716 191415 204176 209645 218760 251574 255220 293503 306264 335432 382830 419290 437520 503148 510440 587006 612528 628935 670864 765660 838580 880509 1006296 1020880 1174012 1257870 1467515 1531320 1677160 1761018 2012592 2348024 2515740 2935030 3062640 3354320 3522036 4402545 4696048 5031480 5870060 7044072 8805090 10062960 11740120 14088144 17610180 23480240 35220360 70440720