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1040212440 = 2332531831123
BaseRepresentation
bin111110000000000…
…110000111011000
32200111100021012200
4332000012013120
54112243244230
6251115210200
734530442221
oct7600060730
92614307180
101040212440
1149419a003
12250446960
13137679627
149c218248
15614c6160
hex3e0061d8

1040212440 has 192 divisors, whose sum is σ = 3534935040. Its totient is φ = 264971520.

The previous prime is 1040212429. The next prime is 1040212447. The reversal of 1040212440 is 442120401.

1040212440 is a `hidden beast` number, since 10 + 4 + 0 + 212 + 440 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1040212447) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 925719 + ... + 926841.

It is an arithmetic number, because the mean of its divisors is an integer number (18411120).

Almost surely, 21040212440 is an apocalyptic number.

1040212440 is a gapful number since it is divisible by the number (10) 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 1040212440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1767467520).

1040212440 is an abundant number, since it is smaller than the sum of its proper divisors (2494722600).

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

1040212440 is a wasteful number, since it uses less digits than its factorization.

1040212440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1254 (or 1247 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

The square root of 1040212440 is about 32252.3245673858. The cubic root of 1040212440 is about 1013.2283848875.

Adding to 1040212440 its reverse (442120401), we get a palindrome (1482332841).

The spelling of 1040212440 in words is "one billion, forty million, two hundred twelve thousand, four hundred forty".