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70146216 = 23337172729
BaseRepresentation
bin1000010111001…
…01100010101000
311212222210112000
410023211202220
5120424134331
610543251000
71511142630
oct413454250
9155883460
1070146216
1136660988
121b5a9a60
13116c024a
14945d6c0
1562590e6
hex42e58a8

70146216 has 128 divisors (see below), whose sum is σ = 235872000. Its totient is φ = 18855936.

The previous prime is 70146173. The next prime is 70146227. The reversal of 70146216 is 61264107.

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

It is a self number, because there is not a number n which added to its sum of digits gives 70146216.

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 31 ways as a sum of consecutive naturals, for example, 24340 + ... + 27068.

It is an arithmetic number, because the mean of its divisors is an integer number (1842750).

Almost surely, 270146216 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 70146216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117936000).

70146216 is an abundant number, since it is smaller than the sum of its proper divisors (165725784).

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

70146216 is a wasteful number, since it uses less digits than its factorization.

70146216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2768 (or 2758 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 70146216 is about 8375.3337843933. Note that the first 3 decimals coincide. The cubic root of 70146216 is about 412.4152817755.

The spelling of 70146216 in words is "seventy million, one hundred forty-six thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 7 8 9 12 14 17 18 21 24 27 28 34 36 42 51 54 56 63 68 72 84 102 108 119 126 136 153 168 189 204 216 238 252 306 357 378 408 459 476 504 612 714 756 918 952 1071 1224 1428 1512 1836 2142 2729 2856 3213 3672 4284 5458 6426 8187 8568 10916 12852 16374 19103 21832 24561 25704 32748 38206 46393 49122 57309 65496 73683 76412 92786 98244 114618 139179 147366 152824 171927 185572 196488 229236 278358 294732 324751 343854 371144 417537 458472 515781 556716 589464 649502 687708 835074 974253 1031562 1113432 1252611 1299004 1375416 1670148 1948506 2063124 2505222 2598008 2922759 3340296 3897012 4126248 5010444 5845518 7794024 8768277 10020888 11691036 17536554 23382072 35073108 70146216