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601152240 = 243513192677
BaseRepresentation
bin100011110101001…
…101101011110000
31112220011200211210
4203311031223300
52212343332430
6135352440120
720616465303
oct4365155360
91486150753
10601152240
11289375637
121493a9040
13977101b0
1459ba6b3a
1537b992b0
hex23d4daf0

601152240 has 80 divisors (see below), whose sum is σ = 2006934048. Its totient is φ = 147975168.

The previous prime is 601152221. The next prime is 601152241. The reversal of 601152240 is 42251106.

601152240 is digitally balanced in base 6, 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 super-2 number, since 2×6011522402 = 722768031314035200, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (601152241) 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, 93219 + ... + 99458.

Almost surely, 2601152240 is an apocalyptic number.

601152240 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

601152240 is an abundant number, since it is smaller than the sum of its proper divisors (1405781808).

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

601152240 is a wasteful number, since it uses less digits than its factorization.

601152240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 192706 (or 192700 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 21.

The square root of 601152240 is about 24518.4061472193. The cubic root of 601152240 is about 843.9722294195.

The spelling of 601152240 in words is "six hundred one million, one hundred fifty-two thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 16 20 24 26 30 39 40 48 52 60 65 78 80 104 120 130 156 195 208 240 260 312 390 520 624 780 1040 1560 3120 192677 385354 578031 770708 963385 1156062 1541416 1926770 2312124 2504801 2890155 3082832 3853540 4624248 5009602 5780310 7514403 7707080 9248496 10019204 11560620 12524005 15028806 15414160 20038408 23121240 25048010 30057612 37572015 40076816 46242480 50096020 60115224 75144030 100192040 120230448 150288060 200384080 300576120 601152240