Search a number
-
+
122160240 = 24325169667
BaseRepresentation
bin1110100100000…
…00010001110000
322111212101100100
413102000101300
5222233111430
620042152400
73012226206
oct722002160
9274771310
10122160240
1162a57884
1234ab2700
131c402287
141231d076
15aad0960
hex7480470

122160240 has 60 divisors (see below), whose sum is σ = 410257224. Its totient is φ = 32575872.

The previous prime is 122160223. The next prime is 122160263. The reversal of 122160240 is 42061221.

122160240 is a `hidden beast` number, since 1 + 2 + 21 + 602 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (60).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 84114 + ... + 85553.

Almost surely, 2122160240 is an apocalyptic number.

122160240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

122160240 is an abundant number, since it is smaller than the sum of its proper divisors (288096984).

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

122160240 is a wasteful number, since it uses less digits than its factorization.

122160240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 169686 (or 169677 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 122160240 is about 11052.6123608855. The cubic root of 122160240 is about 496.1846130329.

The spelling of 122160240 in words is "one hundred twenty-two million, one hundred sixty thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 36 40 45 48 60 72 80 90 120 144 180 240 360 720 169667 339334 509001 678668 848335 1018002 1357336 1527003 1696670 2036004 2545005 2714672 3054006 3393340 4072008 5090010 6108012 6786680 7635015 8144016 10180020 12216024 13573360 15270030 20360040 24432048 30540060 40720080 61080120 122160240