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1220106768 = 24343591137
BaseRepresentation
bin100100010111001…
…0101101000010000
310011000211211211120
41020232111220100
54444321404033
6321023042240
742143510406
oct11056255020
93130754746
101220106768
1157679a301
122a0740380
13165a1438a
14b8085476
15721ad1b3
hex48b95a10

1220106768 has 40 divisors (see below), whose sum is σ = 3225248928. Its totient is φ = 397243392.

The previous prime is 1220106761. The next prime is 1220106809. The reversal of 1220106768 is 8676010221.

It is not an unprimeable number, because it can be changed into a prime (1220106761) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 293505 + ... + 297632.

Almost surely, 21220106768 is an apocalyptic number.

It is an amenable number.

1220106768 is an abundant number, since it is smaller than the sum of its proper divisors (2005142160).

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

1220106768 is a wasteful number, since it uses less digits than its factorization.

1220106768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 591191 (or 591185 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 33.

The square root of 1220106768 is about 34930.0267391824. The cubic root of 1220106768 is about 1068.5608999451.

Adding to 1220106768 its reverse (8676010221), we get a palindrome (9896116989).

It can be divided in two parts, 122010 and 6768, that added together give a triangular number (128778 = T507).

The spelling of 1220106768 in words is "one billion, two hundred twenty million, one hundred six thousand, seven hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 43 48 86 129 172 258 344 516 688 1032 2064 591137 1182274 1773411 2364548 3546822 4729096 7093644 9458192 14187288 25418891 28374576 50837782 76256673 101675564 152513346 203351128 305026692 406702256 610053384 1220106768