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70204032 = 2732149409
BaseRepresentation
bin1000010111100…
…11101010000000
311220002201211100
410023303222000
5120433012112
610544414400
71511503323
oct413635200
9156081740
1070204032
11366a0368
121b617400
1311710662
1494767ba
15626b2dc
hex42f3a80

70204032 has 96 divisors (see below), whose sum is σ = 203872500. Its totient is φ = 23187456.

The previous prime is 70204021. The next prime is 70204037. The reversal of 70204032 is 23040207.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 70157376 + 46656 = 8376^2 + 216^2 .

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

It is a super-2 number, since 2×702040322 = 9857212218114048, which contains 22 as substring.

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 = 70203996 and 70204014.

It is not an unprimeable number, because it can be changed into a prime (70204037) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 171444 + ... + 171852.

Almost surely, 270204032 is an apocalyptic number.

70204032 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 70204032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101936250).

70204032 is an abundant number, since it is smaller than the sum of its proper divisors (133668468).

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

70204032 is a wasteful number, since it uses less digits than its factorization.

70204032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 578 (or 563 counting only the distinct ones).

The product of its (nonzero) digits is 336, while the sum is 18.

The square root of 70204032 is about 8378.7846374042. The cubic root of 70204032 is about 412.5285578025.

Adding to 70204032 its reverse (23040207), we get a palindrome (93244239).

The spelling of 70204032 in words is "seventy million, two hundred four thousand, thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 149 192 288 298 384 409 447 576 596 818 894 1152 1192 1227 1341 1636 1788 2384 2454 2682 3272 3576 3681 4768 4908 5364 6544 7152 7362 9536 9816 10728 13088 14304 14724 19072 19632 21456 26176 28608 29448 39264 42912 52352 57216 58896 60941 78528 85824 117792 121882 157056 171648 182823 235584 243764 365646 471168 487528 548469 731292 975056 1096938 1462584 1950112 2193876 2925168 3900224 4387752 5850336 7800448 8775504 11700672 17551008 23401344 35102016 70204032