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117106374 = 237411739
BaseRepresentation
bin1101111101011…
…10011011000110
322011100121202010
412332232123012
5214434400444
615341555050
72621250000
oct676563306
9264317663
10117106374
1160115830
1233275a86
131b352b18
14117a5370
15a4332b9
hex6fae6c6

117106374 has 80 divisors (see below), whose sum is σ = 298474560. Its totient is φ = 30376080.

The previous prime is 117106337. The next prime is 117106393. The reversal of 117106374 is 473601711.

It is a congruent number.

It is an unprimeable number.

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 39 ways as a sum of consecutive naturals, for example, 158097 + ... + 158835.

It is an arithmetic number, because the mean of its divisors is an integer number (3730932).

Almost surely, 2117106374 is an apocalyptic number.

117106374 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 117106374, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149237280).

117106374 is an abundant number, since it is smaller than the sum of its proper divisors (181368186).

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

117106374 is an equidigital number, since it uses as much as digits as its factorization.

117106374 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 783 (or 762 counting only the distinct ones).

The product of its (nonzero) digits is 3528, while the sum is 30.

The square root of 117106374 is about 10821.5698491485. The cubic root of 117106374 is about 489.2455055039.

It can be divided in two parts, 117 and 106374, that added together give a triangular number (106491 = T461).

The spelling of 117106374 in words is "one hundred seventeen million, one hundred six thousand, three hundred seventy-four".

Divisors: 1 2 3 6 7 11 14 21 22 33 42 49 66 77 98 147 154 231 294 343 462 539 686 739 1029 1078 1478 1617 2058 2217 2401 3234 3773 4434 4802 5173 7203 7546 8129 10346 11319 14406 15519 16258 22638 24387 26411 31038 36211 48774 52822 56903 72422 79233 108633 113806 158466 170709 217266 253477 341418 398321 506954 760431 796642 1194963 1520862 1774339 2389926 2788247 3548678 5323017 5576494 8364741 10646034 16729482 19517729 39035458 58553187 117106374