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106769280 = 273555609
BaseRepresentation
bin1100101110100…
…10101110000000
321102220102220210
412113102232000
5204313104110
614332234120
72434344462
oct627225600
9242812823
10106769280
11552a5382
122b90b940
13191739b7
1410274132
159590520
hex65d2b80

106769280 has 64 divisors (see below), whose sum is σ = 340333200. Its totient is φ = 28471296.

The previous prime is 106769269. The next prime is 106769287. The reversal of 106769280 is 82967601.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×1067692802 = 22799358303436800, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106769287) 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, 25885 + ... + 29724.

Almost surely, 2106769280 is an apocalyptic number.

106769280 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

106769280 is an abundant number, since it is smaller than the sum of its proper divisors (233563920).

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

106769280 is an equidigital number, since it uses as much as digits as its factorization.

106769280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 55631 (or 55619 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 39.

The square root of 106769280 is about 10332.9221423564. The cubic root of 106769280 is about 474.4044688080.

The spelling of 106769280 in words is "one hundred six million, seven hundred sixty-nine thousand, two hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 128 160 192 240 320 384 480 640 960 1920 55609 111218 166827 222436 278045 333654 444872 556090 667308 834135 889744 1112180 1334616 1668270 1779488 2224360 2669232 3336540 3558976 4448720 5338464 6673080 7117952 8897440 10676928 13346160 17794880 21353856 26692320 35589760 53384640 106769280