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70132320 = 25325113431
BaseRepresentation
bin1000010111000…
…10001001100000
311212222002110100
410023202021200
5120423213240
610543102400
71511054256
oct413421140
9155862410
1070132320
11366514a5
121b5a1a00
13116b6b1b
1494585d6
156254e30
hex42e2260

70132320 has 144 divisors (see below), whose sum is σ = 242004672. Its totient is φ = 18493440.

The previous prime is 70132289. The next prime is 70132333. The reversal of 70132320 is 2323107.

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

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 70132293 and 70132302.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 162505 + ... + 162935.

It is an arithmetic number, because the mean of its divisors is an integer number (1680588).

Almost surely, 270132320 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 70132320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121002336).

70132320 is an abundant number, since it is smaller than the sum of its proper divisors (171872352).

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

70132320 is a wasteful number, since it uses less digits than its factorization.

70132320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 565 (or 554 counting only the distinct ones).

The product of its (nonzero) digits is 252, while the sum is 18.

The square root of 70132320 is about 8374.5041644267. The cubic root of 70132320 is about 412.3880467534.

Adding to 70132320 its reverse (2323107), we get a palindrome (72455427).

The spelling of 70132320 in words is "seventy million, one hundred thirty-two thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 72 80 90 96 113 120 144 160 180 226 240 288 339 360 431 452 480 565 678 720 862 904 1017 1130 1293 1356 1440 1695 1724 1808 2034 2155 2260 2586 2712 3390 3448 3616 3879 4068 4310 4520 5085 5172 5424 6465 6780 6896 7758 8136 8620 9040 10170 10344 10848 12930 13560 13792 15516 16272 17240 18080 19395 20340 20688 25860 27120 31032 32544 34480 38790 40680 41376 48703 51720 54240 62064 68960 77580 81360 97406 103440 124128 146109 155160 162720 194812 206880 243515 292218 310320 389624 438327 487030 584436 620640 730545 779248 876654 974060 1168872 1461090 1558496 1753308 1948120 2191635 2337744 2922180 3506616 3896240 4383270 4675488 5844360 7013232 7792480 8766540 11688720 14026464 17533080 23377440 35066160 70132320