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1400434120 = 235232575923
BaseRepresentation
bin101001101111000…
…1110110111001000
310121121011102110101
41103132032313020
510332002342440
6350544055144
746463331211
oct12336166710
93547142411
101400434120
11659565978
123310044b4
131941a1257
14d3dc6408
1582e2d69a
hex5378edc8

1400434120 has 64 divisors (see below), whose sum is σ = 3301326720. Its totient is φ = 533643264.

The previous prime is 1400434081. The next prime is 1400434141. The reversal of 1400434120 is 214340041.

It is a super-2 number, since 2×14004341202 = 3922431448920348800, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 233479 + ... + 239401.

It is an arithmetic number, because the mean of its divisors is an integer number (51583230).

Almost surely, 21400434120 is an apocalyptic number.

1400434120 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 1400434120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1650663360).

1400434120 is an abundant number, since it is smaller than the sum of its proper divisors (1900892600).

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

1400434120 is a wasteful number, since it uses less digits than its factorization.

1400434120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6214 (or 6210 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 19.

The square root of 1400434120 is about 37422.3745906109. The cubic root of 1400434120 is about 1118.8045599516.

Adding to 1400434120 its reverse (214340041), we get a palindrome (1614774161).

The spelling of 1400434120 in words is "one billion, four hundred million, four hundred thirty-four thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 20 23 40 46 92 115 184 230 257 460 514 920 1028 1285 2056 2570 5140 5911 5923 10280 11822 11846 23644 23692 29555 29615 47288 47384 59110 59230 118220 118460 136229 236440 236920 272458 544916 681145 1089832 1362290 1522211 2724580 3044422 5449160 6088844 7611055 12177688 15222110 30444220 35010853 60888440 70021706 140043412 175054265 280086824 350108530 700217060 1400434120