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1053279906 = 237181349397
BaseRepresentation
bin111110110001111…
…100011010100010
32201101221011101220
4332301330122202
54124114424111
6252303235510
735046505620
oct7661743242
92641834356
101053279906
114a0604868
122548a8b96
1313a2a3463
149dc5a510
1562707e06
hex3ec7c6a2

1053279906 has 64 divisors (see below), whose sum is σ = 2433849600. Its totient is φ = 297665280.

The previous prime is 1053279889. The next prime is 1053279907. The reversal of 1053279906 is 6099723501.

It is a super-2 number, since 2×10532799062 = 2218797120766737672, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (1053279907) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2652900 + ... + 2653296.

It is an arithmetic number, because the mean of its divisors is an integer number (38028900).

Almost surely, 21053279906 is an apocalyptic number.

1053279906 is an abundant number, since it is smaller than the sum of its proper divisors (1380569694).

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

1053279906 is a wasteful number, since it uses less digits than its factorization.

1053279906 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 939.

The product of its (nonzero) digits is 102060, while the sum is 42.

The square root of 1053279906 is about 32454.2740790793. The cubic root of 1053279906 is about 1017.4535693084.

The spelling of 1053279906 in words is "one billion, fifty-three million, two hundred seventy-nine thousand, nine hundred six".

Divisors: 1 2 3 6 7 14 21 42 181 349 362 397 543 698 794 1047 1086 1191 1267 2094 2382 2443 2534 2779 3801 4886 5558 7329 7602 8337 14658 16674 63169 71857 126338 138553 143714 189507 215571 277106 379014 415659 431142 442183 502999 831318 884366 969871 1005998 1326549 1508997 1939742 2653098 2909613 3017994 5819226 25078093 50156186 75234279 150468558 175546651 351093302 526639953 1053279906