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168656240 = 24523711291
BaseRepresentation
bin10100000110101…
…11110101110000
3102202100121212102
422003113311300
5321133444430
624422515532
74115361104
oct1203276560
9382317772
10168656240
1187224a25
1248595ba8
1328c317bc
1418583904
15ec17345
hexa0d7d70

168656240 has 80 divisors (see below), whose sum is σ = 415259136. Its totient is φ = 63571200.

The previous prime is 168656239. The next prime is 168656251. The reversal of 168656240 is 42656861.

168656240 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (80).

It is a junction number, because it is equal to n+sod(n) for n = 168656194 and 168656203.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 129995 + ... + 131285.

Almost surely, 2168656240 is an apocalyptic number.

168656240 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 168656240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (207629568).

168656240 is an abundant number, since it is smaller than the sum of its proper divisors (246602896).

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

168656240 is a wasteful number, since it uses less digits than its factorization.

168656240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1398 (or 1392 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 38.

The square root of 168656240 is about 12986.7717312656. The cubic root of 168656240 is about 552.5023607114.

The spelling of 168656240 in words is "one hundred sixty-eight million, six hundred fifty-six thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 23 40 46 71 80 92 115 142 184 230 284 355 368 460 568 710 920 1136 1291 1420 1633 1840 2582 2840 3266 5164 5680 6455 6532 8165 10328 12910 13064 16330 20656 25820 26128 29693 32660 51640 59386 65320 91661 103280 118772 130640 148465 183322 237544 296930 366644 458305 475088 593860 733288 916610 1187720 1466576 1833220 2108203 2375440 3666440 4216406 7332880 8432812 10541015 16865624 21082030 33731248 42164060 84328120 168656240