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1040214120 = 233511788041
BaseRepresentation
bin111110000000000…
…110100001101000
32200111100100111220
4332000012201220
54112243322440
6251115222040
734530450141
oct7600064150
92614310456
101040214120
114941a02a0
12250447920
1313767a31a
149c218ac8
15614c68d0
hex3e006868

1040214120 has 64 divisors (see below), whose sum is σ = 3404341440. Its totient is φ = 252172800.

The previous prime is 1040214101. The next prime is 1040214121. The reversal of 1040214120 is 214120401.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 1040214120.

It is not an unprimeable number, because it can be changed into a prime (1040214121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 392701 + ... + 395340.

It is an arithmetic number, because the mean of its divisors is an integer number (53192835).

Almost surely, 21040214120 is an apocalyptic number.

1040214120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1040214120 is an abundant number, since it is smaller than the sum of its proper divisors (2364127320).

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

1040214120 is a wasteful number, since it uses less digits than its factorization.

1040214120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 788066 (or 788062 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

The square root of 1040214120 is about 32252.3506120097. The cubic root of 1040214120 is about 1013.2289303603.

Adding to 1040214120 its reverse (214120401), we get a palindrome (1254334521).

The spelling of 1040214120 in words is "one billion, forty million, two hundred fourteen thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 20 22 24 30 33 40 44 55 60 66 88 110 120 132 165 220 264 330 440 660 1320 788041 1576082 2364123 3152164 3940205 4728246 6304328 7880410 8668451 9456492 11820615 15760820 17336902 18912984 23641230 26005353 31521640 34673804 43342255 47282460 52010706 69347608 86684510 94564920 104021412 130026765 173369020 208042824 260053530 346738040 520107060 1040214120