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168669240 = 23351789929
BaseRepresentation
bin10100000110110…
…11000000111000
3102202101021200220
422003123000320
5321134403430
624423100040
74115444025
oct1203330070
9382337626
10168669240
1187233773
12485a1620
1328c376ac
141858854c
15ec1b110
hexa0db038

168669240 has 128 divisors (see below), whose sum is σ = 542376000. Its totient is φ = 41811968.

The previous prime is 168669211. The next prime is 168669283. The reversal of 168669240 is 42966861.

It is a junction number, because it is equal to n+sod(n) for n = 168669192 and 168669201.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 181096 + ... + 182024.

Almost surely, 2168669240 is an apocalyptic number.

168669240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 168669240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (271188000).

168669240 is an abundant number, since it is smaller than the sum of its proper divisors (373706760).

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

168669240 is a wasteful number, since it uses less digits than its factorization.

168669240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1049 (or 1045 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 42.

The square root of 168669240 is about 12987.2722309190. The cubic root of 168669240 is about 552.5165559490.

It can be divided in two parts, 16866 and 9240, that added together give a triangular number (26106 = T228).

The spelling of 168669240 in words is "one hundred sixty-eight million, six hundred sixty-nine thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 17 20 24 30 34 40 51 60 68 85 89 102 120 136 170 178 204 255 267 340 356 408 445 510 534 680 712 890 929 1020 1068 1335 1513 1780 1858 2040 2136 2670 2787 3026 3560 3716 4539 4645 5340 5574 6052 7432 7565 9078 9290 10680 11148 12104 13935 15130 15793 18156 18580 22296 22695 27870 30260 31586 36312 37160 45390 47379 55740 60520 63172 78965 82681 90780 94758 111480 126344 157930 165362 181560 189516 236895 248043 315860 330724 379032 413405 473790 496086 631720 661448 826810 947580 992172 1240215 1405577 1653620 1895160 1984344 2480430 2811154 3307240 4216731 4960860 5622308 7027885 8433462 9921720 11244616 14055770 16866924 21083655 28111540 33733848 42167310 56223080 84334620 168669240