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212960704 = 26111132677
BaseRepresentation
bin11001011000110…
…00010111000000
3112211201112011111
430230120113000
5414004220304
633044253104
75164064455
oct1454302700
9484645144
10212960704
11aa235590
125b3a1194
1335174668
14203d782c
1513a69704
hexcb185c0

212960704 has 56 divisors (see below), whose sum is σ = 465265008. Its totient is φ = 95907840.

The previous prime is 212960701. The next prime is 212960707. The reversal of 212960704 is 407069212.

It is an interprime number because it is at equal distance from previous prime (212960701) and next prime (212960707).

It is a super-2 number, since 2×2129607042 = 90704522896351232, which contains 22 as substring.

It is a hoax number, since the sum of its digits (31) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212960701) 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 7 ways as a sum of consecutive naturals, for example, 78214 + ... + 80890.

Almost surely, 2212960704 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 212960704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (232632504).

212960704 is an abundant number, since it is smaller than the sum of its proper divisors (252304304).

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

212960704 is a wasteful number, since it uses less digits than its factorization.

212960704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2813 (or 2803 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 31.

The square root of 212960704 is about 14593.1731984514. The cubic root of 212960704 is about 597.1725336908.

The spelling of 212960704 in words is "two hundred twelve million, nine hundred sixty thousand, seven hundred four".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 113 176 226 352 452 704 904 1243 1808 2486 2677 3616 4972 5354 7232 9944 10708 19888 21416 29447 39776 42832 58894 79552 85664 117788 171328 235576 302501 471152 605002 942304 1210004 1884608 2420008 3327511 4840016 6655022 9680032 13310044 19360064 26620088 53240176 106480352 212960704