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106714290 = 23537127757
BaseRepresentation
bin1100101110001…
…01010010110010
321102210122111010
412113011102302
5204304324130
614331131350
72434025244
oct627052262
9242718433
10106714290
1155268031
122b8a3b56
1319154967
141025c094
15957e0b0
hex65c54b2

106714290 has 64 divisors (see below), whose sum is σ = 265457664. Its totient is φ = 27433728.

The previous prime is 106714249. The next prime is 106714297. The reversal of 106714290 is 92417601.

It is a happy number.

It is a super-2 number, since 2×1067142902 = 22775879380408200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (106714297) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 140592 + ... + 141348.

It is an arithmetic number, because the mean of its divisors is an integer number (4147776).

Almost surely, 2106714290 is an apocalyptic number.

106714290 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 106714290, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132728832).

106714290 is an abundant number, since it is smaller than the sum of its proper divisors (158743374).

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

106714290 is a wasteful number, since it uses less digits than its factorization.

106714290 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 931.

The product of its (nonzero) digits is 3024, while the sum is 30.

The square root of 106714290 is about 10330.2608873155. The cubic root of 106714290 is about 474.3230097289.

The spelling of 106714290 in words is "one hundred six million, seven hundred fourteen thousand, two hundred ninety".

Divisors: 1 2 3 5 6 10 15 30 37 74 111 127 185 222 254 370 381 555 635 757 762 1110 1270 1514 1905 2271 3785 3810 4542 4699 7570 9398 11355 14097 22710 23495 28009 28194 46990 56018 70485 84027 96139 140045 140970 168054 192278 280090 288417 420135 480695 576834 840270 961390 1442085 2884170 3557143 7114286 10671429 17785715 21342858 35571430 53357145 106714290