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70023840 = 25351131291
BaseRepresentation
bin1000010110001…
…11101010100000
311212202120122120
410023013222200
5120411230330
610540504240
71510123065
oct413075240
9155676576
1070023840
1136587a47
121b54b080
1311679633
14942ac6c
156232c10
hex42c7aa0

70023840 has 96 divisors (see below), whose sum is σ = 222699456. Its totient is φ = 18493440.

The previous prime is 70023839. The next prime is 70023857. The reversal of 70023840 is 4832007.

It is a tau number, because it is divible by the number of its divisors (96).

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 70023840.

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 15 ways as a sum of consecutive naturals, for example, 53595 + ... + 54885.

It is an arithmetic number, because the mean of its divisors is an integer number (2319786).

Almost surely, 270023840 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 70023840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111349728).

70023840 is an abundant number, since it is smaller than the sum of its proper divisors (152675616).

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

70023840 is a wasteful number, since it uses less digits than its factorization.

70023840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1422 (or 1414 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 24.

The square root of 70023840 is about 8368.0248565596. The cubic root of 70023840 is about 412.1753110712.

Adding to 70023840 its reverse (4832007), we get a palindrome (74855847).

The spelling of 70023840 in words is "seventy million, twenty-three thousand, eight hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 113 120 160 226 240 339 452 480 565 678 904 1130 1291 1356 1695 1808 2260 2582 2712 3390 3616 3873 4520 5164 5424 6455 6780 7746 9040 10328 10848 12910 13560 15492 18080 19365 20656 25820 27120 30984 38730 41312 51640 54240 61968 77460 103280 123936 145883 154920 206560 291766 309840 437649 583532 619680 729415 875298 1167064 1458830 1750596 2188245 2334128 2917660 3501192 4376490 4668256 5835320 7002384 8752980 11670640 14004768 17505960 23341280 35011920 70023840