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1074009400 = 235226919963
BaseRepresentation
bin100000000000100…
…0001010100111000
32202211221022220221
41000001001110320
54144421300100
6254323425424
735420633512
oct10001012470
92684838827
101074009400
11501283182
1225b825274
13141680929
14a28d4bb2
156445001a
hex40041538

1074009400 has 48 divisors (see below), whose sum is σ = 2506480200. Its totient is φ = 427985280.

The previous prime is 1074009389. The next prime is 1074009407. The reversal of 1074009400 is 49004701.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1074009407) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 43819 + ... + 63781.

Almost surely, 21074009400 is an apocalyptic number.

1074009400 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 1074009400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1253240100).

1074009400 is an abundant number, since it is smaller than the sum of its proper divisors (1432470800).

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

1074009400 is a wasteful number, since it uses less digits than its factorization.

1074009400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20248 (or 20239 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 25.

The square root of 1074009400 is about 32772.0826314105. The cubic root of 1074009400 is about 1024.0850530550.

The spelling of 1074009400 in words is "one billion, seventy-four million, nine thousand, four hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 200 269 538 1076 1345 2152 2690 5380 6725 10760 13450 19963 26900 39926 53800 79852 99815 159704 199630 399260 499075 798520 998150 1996300 3992600 5370047 10740094 21480188 26850235 42960376 53700470 107400940 134251175 214801880 268502350 537004700 1074009400