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40230960 = 24357211311
BaseRepresentation
bin1001100101111…
…0000000110000
32210200221111120
42121132000300
540244342320
63554142240
7665646300
oct231360060
983627446
1040230960
1120789130
1211581980
138447a03
1454b3600
1537ea440
hex265e030

40230960 has 240 divisors, whose sum is σ = 158775552. Its totient is φ = 8332800.

The previous prime is 40230913. The next prime is 40230973. The reversal of 40230960 is 6903204.

It is a tau number, because it is divible by the number of its divisors (240).

It is a hoax number, since the sum of its digits (24) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 40230960.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 129205 + ... + 129515.

Almost surely, 240230960 is an apocalyptic number.

40230960 is a gapful number since it is divisible by the number (40) 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 40230960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79387776).

40230960 is an abundant number, since it is smaller than the sum of its proper divisors (118544592).

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

40230960 is a wasteful number, since it uses less digits than its factorization.

40230960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 352 (or 339 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 24.

The square root of 40230960 is about 6342.7880305115. The cubic root of 40230960 is about 342.6521532576.

The spelling of 40230960 in words is "forty million, two hundred thirty thousand, nine hundred sixty".