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168144240 = 24351163691
BaseRepresentation
bin10100000010110…
…10110101110000
3102201101121112110
422001122311300
5321021103430
624403525320
74111126305
oct1201326560
9381347473
10168144240
1186a05290
1248389840
1328ab2744
141848d0ac
15eb657b0
hexa05ad70

168144240 has 80 divisors (see below), whose sum is σ = 568642176. Its totient is φ = 40761600.

The previous prime is 168144227. The next prime is 168144241. The reversal of 168144240 is 42441861.

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

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

It is a junction number, because it is equal to n+sod(n) for n = 168144198 and 168144207.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (168144241) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 29206 + ... + 34485.

Almost surely, 2168144240 is an apocalyptic number.

168144240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

168144240 is an abundant number, since it is smaller than the sum of its proper divisors (400497936).

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

168144240 is a wasteful number, since it uses less digits than its factorization.

168144240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 63718 (or 63712 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 30.

The square root of 168144240 is about 12967.0443818165. The cubic root of 168144240 is about 551.9427056686.

The spelling of 168144240 in words is "one hundred sixty-eight million, one hundred forty-four thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 16 20 22 24 30 33 40 44 48 55 60 66 80 88 110 120 132 165 176 220 240 264 330 440 528 660 880 1320 2640 63691 127382 191073 254764 318455 382146 509528 636910 700601 764292 955365 1019056 1273820 1401202 1528584 1910730 2101803 2547640 2802404 3057168 3503005 3821460 4203606 5095280 5604808 7006010 7642920 8407212 10509015 11209616 14012020 15285840 16814424 21018030 28024040 33628848 42036060 56048080 84072120 168144240