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70412832 = 2532753659
BaseRepresentation
bin1000011001001…
…10101000100000
311220111100020200
410030212220200
5121011202312
610553105200
71513333140
oct414465040
9156440220
1070412832
1136823226
121b6b8200
13117846c9
1494cc920
1562ad0dc
hex4326a20

70412832 has 144 divisors (see below), whose sum is σ = 233513280. Its totient is φ = 19708416.

The previous prime is 70412831. The next prime is 70412843. The reversal of 70412832 is 23821407.

It is a tau number, because it is divible by the number of its divisors (144).

It is a junction number, because it is equal to n+sod(n) for n = 70412796 and 70412805.

It is not an unprimeable number, because it can be changed into a prime (70412831) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 106519 + ... + 107177.

It is an arithmetic number, because the mean of its divisors is an integer number (1621620).

Almost surely, 270412832 is an apocalyptic number.

70412832 is a gapful number since it is divisible by the number (72) 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 70412832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116756640).

70412832 is an abundant number, since it is smaller than the sum of its proper divisors (163100448).

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

70412832 is a wasteful number, since it uses less digits than its factorization.

70412832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 735 (or 724 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 70412832 is about 8391.2354275160. The cubic root of 70412832 is about 412.9371321934.

The spelling of 70412832 in words is "seventy million, four hundred twelve thousand, eight hundred thirty-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 53 56 63 72 84 96 106 112 126 144 159 168 212 224 252 288 318 336 371 424 477 504 636 659 672 742 848 954 1008 1113 1272 1318 1484 1696 1908 1977 2016 2226 2544 2636 2968 3339 3816 3954 4452 4613 5088 5272 5931 5936 6678 7632 7908 8904 9226 10544 11862 11872 13356 13839 15264 15816 17808 18452 21088 23724 26712 27678 31632 34927 35616 36904 41517 47448 53424 55356 63264 69854 73808 83034 94896 104781 106848 110712 139708 147616 166068 189792 209562 221424 244489 279416 314343 332136 419124 442848 488978 558832 628686 664272 733467 838248 977956 1117664 1257372 1328544 1466934 1676496 1955912 2200401 2514744 2933868 3352992 3911824 4400802 5029488 5867736 7823648 8801604 10058976 11735472 17603208 23470944 35206416 70412832