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1220583104 = 26131977213
BaseRepresentation
bin100100011000000…
…1001111011000000
310011001202001020122
41020300021323000
54444432124404
6321041155412
742150533216
oct11060117300
93131661218
101220583104
11576a95174
122a092bb68
13165b50130
14b816acb6
15722543be
hex48c09ec0

1220583104 has 56 divisors (see below), whose sum is σ = 2745729840. Its totient is φ = 533689344.

The previous prime is 1220583103. The next prime is 1220583137. The reversal of 1220583104 is 4013850221.

It is a super-2 number, since 2×12205831042 = 2979646227540549632, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is not an unprimeable number, because it can be changed into a prime (1220583103) 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, 22799 + ... + 54414.

It is an arithmetic number, because the mean of its divisors is an integer number (49030890).

Almost surely, 21220583104 is an apocalyptic number.

It is an amenable number.

1220583104 is an abundant number, since it is smaller than the sum of its proper divisors (1525146736).

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

1220583104 is a wasteful number, since it uses less digits than its factorization.

1220583104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 77257 (or 77247 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 26.

The square root of 1220583104 is about 34936.8445054787. The cubic root of 1220583104 is about 1068.6999390890.

The spelling of 1220583104 in words is "one billion, two hundred twenty million, five hundred eighty-three thousand, one hundred four".

Divisors: 1 2 4 8 13 16 19 26 32 38 52 64 76 104 152 208 247 304 416 494 608 832 988 1216 1976 3952 7904 15808 77213 154426 308852 617704 1003769 1235408 1467047 2007538 2470816 2934094 4015076 4941632 5868188 8030152 11736376 16060304 19071611 23472752 32120608 38143222 46945504 64241216 76286444 93891008 152572888 305145776 610291552 1220583104