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70461440 = 21157983
BaseRepresentation
bin1000011001100…
…10100000000000
311220120210220222
410030302200000
5121014231230
610554122212
71513624640
oct414624000
9156523828
1070461440
11368567a5
121b720368
13117a087a
149502520
1562bc6e5
hex4332800

70461440 has 96 divisors (see below), whose sum is σ = 193415040. Its totient is φ = 24133632.

The previous prime is 70461409. The next prime is 70461449. The reversal of 70461440 is 4416407.

It is not an unprimeable number, because it can be changed into a prime (70461449) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 71189 + ... + 72171.

It is an arithmetic number, because the mean of its divisors is an integer number (2014740).

Almost surely, 270461440 is an apocalyptic number.

70461440 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 70461440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96707520).

70461440 is an abundant number, since it is smaller than the sum of its proper divisors (122953600).

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

70461440 is an equidigital number, since it uses as much as digits as its factorization.

70461440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1017 (or 997 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 26.

The square root of 70461440 is about 8394.1312832240. The cubic root of 70461440 is about 413.0321311235.

Adding to 70461440 its reverse (4416407), we get a palindrome (74877847).

The spelling of 70461440 in words is "seventy million, four hundred sixty-one thousand, four hundred forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 56 64 70 80 112 128 140 160 224 256 280 320 448 512 560 640 896 983 1024 1120 1280 1792 1966 2048 2240 2560 3584 3932 4480 4915 5120 6881 7168 7864 8960 9830 10240 13762 14336 15728 17920 19660 27524 31456 34405 35840 39320 55048 62912 68810 71680 78640 110096 125824 137620 157280 220192 251648 275240 314560 440384 503296 550480 629120 880768 1006592 1100960 1258240 1761536 2013184 2201920 2516480 3523072 4403840 5032960 7046144 8807680 10065920 14092288 17615360 35230720 70461440