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70088400 = 24325219469
BaseRepresentation
bin1000010110101…
…11011011010000
311212212212012200
410023113123100
5120420312100
610542123200
71510512234
oct413273320
9155785180
1070088400
11366214a8
121b580500
131169cb35
1494465c4
156246e00
hex42d76d0

70088400 has 90 divisors (see below), whose sum is σ = 243238710. Its totient is φ = 18689280.

The previous prime is 70088377. The next prime is 70088413. The reversal of 70088400 is 488007.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 2322576 + 67765824 = 1524^2 + 8232^2 .

It is a tau number, because it is divible by the number of its divisors (90).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 6135 + ... + 13334.

Almost surely, 270088400 is an apocalyptic number.

It is an amenable number.

70088400 is an abundant number, since it is smaller than the sum of its proper divisors (173150310).

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

70088400 is a wasteful number, since it uses less digits than its factorization.

70088400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19493 (or 19479 counting only the distinct ones).

The product of its (nonzero) digits is 1792, while the sum is 27.

The square root of 70088400 is about 8371.8815089560. The cubic root of 70088400 is about 412.3019434885.

The spelling of 70088400 in words is "seventy million, eighty-eight thousand, four hundred".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 25 30 36 40 45 48 50 60 72 75 80 90 100 120 144 150 180 200 225 240 300 360 400 450 600 720 900 1200 1800 3600 19469 38938 58407 77876 97345 116814 155752 175221 194690 233628 292035 311504 350442 389380 467256 486725 584070 700884 778760 876105 934512 973450 1168140 1401768 1460175 1557520 1752210 1946900 2336280 2803536 2920350 3504420 3893800 4380525 4672560 5840700 7008840 7787600 8761050 11681400 14017680 17522100 23362800 35044200 70088400