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70036440 = 23353167281
BaseRepresentation
bin1000010110010…
…10101111011000
311212210012221020
410023022233120
5120412131230
610541042440
71510204605
oct413125730
9155705836
1070036440
1136596461
121b556420
13116822a6
1494316ac
156236810
hex42cabd8

70036440 has 128 divisors (see below), whose sum is σ = 220907520. Its totient is φ = 17740800.

The previous prime is 70036433. The next prime is 70036441. The reversal of 70036440 is 4463007.

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

It is a self number, because there is not a number n which added to its sum of digits gives 70036440.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (70036441) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 249100 + ... + 249380.

It is an arithmetic number, because the mean of its divisors is an integer number (1725840).

Almost surely, 270036440 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 70036440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110453760).

70036440 is an abundant number, since it is smaller than the sum of its proper divisors (150871080).

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

70036440 is a wasteful number, since it uses less digits than its factorization.

70036440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 393 (or 389 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 24.

The square root of 70036440 is about 8368.7776885278. Note that the first 3 decimals coincide. The cubic root of 70036440 is about 412.2000316876.

Adding to 70036440 its reverse (4463007), we get a palindrome (74499447).

The spelling of 70036440 in words is "seventy million, thirty-six thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 31 40 60 62 67 93 120 124 134 155 186 201 248 268 281 310 335 372 402 465 536 562 620 670 744 804 843 930 1005 1124 1240 1340 1405 1608 1686 1860 2010 2077 2248 2680 2810 3372 3720 4020 4154 4215 5620 6231 6744 8040 8308 8430 8711 10385 11240 12462 16616 16860 17422 18827 20770 24924 26133 31155 33720 34844 37654 41540 43555 49848 52266 56481 62310 69688 75308 83080 87110 94135 104532 112962 124620 130665 150616 174220 188270 209064 225924 249240 261330 282405 348440 376540 451848 522660 564810 583637 753080 1045320 1129620 1167274 1750911 2259240 2334548 2918185 3501822 4669096 5836370 7003644 8754555 11672740 14007288 17509110 23345480 35018220 70036440