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40240000 = 2754503
BaseRepresentation
bin1001100110000…
…0001110000000
32210201101220101
42121200032000
540300140000
63554252144
7666014533
oct231401600
983641811
1040240000
11207949a9
1211587054
13844bb68
1454b6a1a
1537ece6a
hex2660380

40240000 has 80 divisors (see below), whose sum is σ = 100374120. Its totient is φ = 16064000.

The previous prime is 40239971. The next prime is 40240007. The reversal of 40240000 is 4204.

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 (10).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40240007) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 79749 + ... + 80251.

Almost surely, 240240000 is an apocalyptic number.

40240000 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 40240000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50187060).

40240000 is an abundant number, since it is smaller than the sum of its proper divisors (60134120).

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

40240000 is an frugal number, since it uses more digits than its factorization.

40240000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 537 (or 510 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 10.

The square root of 40240000 is about 6343.5006108615. The cubic root of 40240000 is about 342.6778162750.

Adding to 40240000 its reverse (4204), we get a palindrome (40244204).

The spelling of 40240000 in words is "forty million, two hundred forty thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 125 128 160 200 250 320 400 500 503 625 640 800 1000 1006 1250 1600 2000 2012 2500 2515 3200 4000 4024 5000 5030 8000 8048 10000 10060 12575 16000 16096 20000 20120 25150 32192 40000 40240 50300 62875 64384 80000 80480 100600 125750 160960 201200 251500 314375 321920 402400 503000 628750 804800 1006000 1257500 1609600 2012000 2515000 4024000 5030000 8048000 10060000 20120000 40240000