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106739028 = 223211269543
BaseRepresentation
bin1100101110010…
…11010101010100
321102211220102100
412113023111110
5204311122103
614331442100
72434160334
oct627132524
9242756370
10106739028
1155284680
122b8b6330
1319162cb6
14102670c4
1595865a3
hex65cb554

106739028 has 36 divisors (see below), whose sum is σ = 294342048. Its totient is φ = 32345040.

The previous prime is 106739011. The next prime is 106739063. The reversal of 106739028 is 820937601.

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×1067390282 = 22786440196769568, which contains 22 as substring.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 106738983 and 106739001.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 134376 + ... + 135167.

It is an arithmetic number, because the mean of its divisors is an integer number (8176168).

Almost surely, 2106739028 is an apocalyptic number.

106739028 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

106739028 is an abundant number, since it is smaller than the sum of its proper divisors (187603020).

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

106739028 is a wasteful number, since it uses less digits than its factorization.

106739028 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 269564 (or 269559 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The square root of 106739028 is about 10331.4581739462. The cubic root of 106739028 is about 474.3596586664.

It can be divided in two parts, 10673 and 9028, that added together give a triangular number (19701 = T198).

The spelling of 106739028 in words is "one hundred six million, seven hundred thirty-nine thousand, twenty-eight".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 44 66 99 132 198 396 269543 539086 808629 1078172 1617258 2425887 2964973 3234516 4851774 5929946 8894919 9703548 11859892 17789838 26684757 35579676 53369514 106739028