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70212096 = 29341693
BaseRepresentation
bin1000010111101…
…01101000000000
311220010010220000
410023311220000
5120433241341
610544520000
71511535663
oct413655000
9156103800
1070212096
11366a6429
121b620000
1311714226
1494796da
15626d8b6
hex42f5a00

70212096 has 100 divisors (see below), whose sum is σ = 209688402. Its totient is φ = 23390208.

The previous prime is 70212073. The next prime is 70212101. The reversal of 70212096 is 69021207.

It can be written as a sum of positive squares in only one way, i.e., 62726400 + 7485696 = 7920^2 + 2736^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 40626 + ... + 42318.

Almost surely, 270212096 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 70212096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104844201).

70212096 is an abundant number, since it is smaller than the sum of its proper divisors (139476306).

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

70212096 is an equidigital number, since it uses as much as digits as its factorization.

70212096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1723 (or 1698 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 27.

The square root of 70212096 is about 8379.2658389623. The cubic root of 70212096 is about 412.5443522558.

The spelling of 70212096 in words is "seventy million, two hundred twelve thousand, ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 128 144 162 192 216 256 288 324 384 432 512 576 648 768 864 1152 1296 1536 1693 1728 2304 2592 3386 3456 4608 5079 5184 6772 6912 10158 10368 13544 13824 15237 20316 20736 27088 30474 40632 41472 45711 54176 60948 81264 91422 108352 121896 137133 162528 182844 216704 243792 274266 325056 365688 433408 487584 548532 650112 731376 866816 975168 1097064 1300224 1462752 1950336 2194128 2600448 2925504 3900672 4388256 5851008 7801344 8776512 11702016 17553024 23404032 35106048 70212096