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70089984 = 2832291049
BaseRepresentation
bin1000010110101…
…11110100000000
311212212221101100
410023113310000
5120420334414
610542134400
71510516656
oct413276400
9155787340
1070089984
1136622708
121b581400
13116a0783
149446dd6
156247609
hex42d7d00

70089984 has 108 divisors (see below), whose sum is σ = 209254500. Its totient is φ = 22536192.

The previous prime is 70089967. The next prime is 70090003. The reversal of 70089984 is 48998007.

It can be written as a sum of positive squares in 2 ways, for example, as 51840000 + 18249984 = 7200^2 + 4272^2 .

It is a congruent number.

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 11 ways as a sum of consecutive naturals, for example, 66292 + ... + 67340.

Almost surely, 270089984 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 70089984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104627250).

70089984 is an abundant number, since it is smaller than the sum of its proper divisors (139164516).

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

70089984 is a wasteful number, since it uses less digits than its factorization.

70089984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1100 (or 1083 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 45.

The square root of 70089984 is about 8371.9761108116. The cubic root of 70089984 is about 412.3050494773.

The spelling of 70089984 in words is "seventy million, eighty-nine thousand, nine hundred eighty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 29 32 36 48 58 64 72 87 96 116 128 144 174 192 232 256 261 288 348 384 464 522 576 696 768 928 1044 1049 1152 1392 1856 2088 2098 2304 2784 3147 3712 4176 4196 5568 6294 7424 8352 8392 9441 11136 12588 16704 16784 18882 22272 25176 30421 33408 33568 37764 50352 60842 66816 67136 75528 91263 100704 121684 134272 151056 182526 201408 243368 268544 273789 302112 365052 402816 486736 547578 604224 730104 805632 973472 1095156 1208448 1460208 1946944 2190312 2416896 2920416 3893888 4380624 5840832 7787776 8761248 11681664 17522496 23363328 35044992 70089984