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60225240 = 23351633079
BaseRepresentation
bin1110010110111…
…1011011011000
311012022202111110
43211233123120
5110404201430
65550500320
71330622535
oct345573330
9135282443
1060225240
1130aa5129
12182046a0
13c62864a
147dd9d8c
1554497b0
hex396f6d8

60225240 has 64 divisors (see below), whose sum is σ = 181843200. Its totient is φ = 15956352.

The previous prime is 60225229. The next prime is 60225251. The reversal of 60225240 is 4252206.

It is an interprime number because it is at equal distance from previous prime (60225229) and next prime (60225251).

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, 18021 + ... + 21099.

It is an arithmetic number, because the mean of its divisors is an integer number (2841300).

Almost surely, 260225240 is an apocalyptic number.

60225240 is a gapful number since it is divisible by the number (60) 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 60225240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90921600).

60225240 is an abundant number, since it is smaller than the sum of its proper divisors (121617960).

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

60225240 is a wasteful number, since it uses less digits than its factorization.

60225240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3256 (or 3252 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 21.

The square root of 60225240 is about 7760.4922524283. The cubic root of 60225240 is about 391.9760328259.

Adding to 60225240 its reverse (4252206), we get a palindrome (64477446).

The spelling of 60225240 in words is "sixty million, two hundred twenty-five thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 163 326 489 652 815 978 1304 1630 1956 2445 3079 3260 3912 4890 6158 6520 9237 9780 12316 15395 18474 19560 24632 30790 36948 46185 61580 73896 92370 123160 184740 369480 501877 1003754 1505631 2007508 2509385 3011262 4015016 5018770 6022524 7528155 10037540 12045048 15056310 20075080 30112620 60225240