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430131040 = 2555350723
BaseRepresentation
bin11001101000110…
…100011101100000
31002222100220212021
4121220310131200
51340103143130
6110403111224
713442024233
oct3150643540
91088326767
10430131040
112008858a9
12100072514
136b161111
14411a941a
1527b6637a
hex19a34760

430131040 has 48 divisors (see below), whose sum is σ = 1035378288. Its totient is φ = 168802816.

The previous prime is 430131019. The next prime is 430131043. The reversal of 430131040 is 40131034.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (430131043) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 16882 + ... + 33841.

It is an arithmetic number, because the mean of its divisors is an integer number (21570381).

Almost surely, 2430131040 is an apocalyptic number.

430131040 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

430131040 is an abundant number, since it is smaller than the sum of its proper divisors (605247248).

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

430131040 is a wasteful number, since it uses less digits than its factorization.

430131040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50791 (or 50783 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

The square root of 430131040 is about 20739.6007676136. The cubic root of 430131040 is about 754.8608956770.

Adding to 430131040 its reverse (40131034), we get a palindrome (470262074).

The spelling of 430131040 in words is "four hundred thirty million, one hundred thirty-one thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 53 80 106 160 212 265 424 530 848 1060 1696 2120 4240 8480 50723 101446 202892 253615 405784 507230 811568 1014460 1623136 2028920 2688319 4057840 5376638 8115680 10753276 13441595 21506552 26883190 43013104 53766380 86026208 107532760 215065520 430131040