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921434130 = 2365126397
BaseRepresentation
bin110110111010111…
…111100000010010
32101012211201000000
4312322333200102
53341341343010
6231233310430
731556026611
oct6672774022
92335751000
10921434130
11433142111
12218705416
13118b8c7c6
148a539878
1555d627c0
hex36ebf812

921434130 has 56 divisors (see below), whose sum is σ = 2486754252. Its totient is φ = 245713824.

The previous prime is 921434113. The next prime is 921434191. The reversal of 921434130 is 31434129.

It can be written as a sum of positive squares in 2 ways, for example, as 880486929 + 40947201 = 29673^2 + 6399^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 921434094 and 921434103.

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 27 ways as a sum of consecutive naturals, for example, 55909 + ... + 70488.

Almost surely, 2921434130 is an apocalyptic number.

921434130 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

921434130 is an abundant number, since it is smaller than the sum of its proper divisors (1565320122).

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

921434130 is a wasteful number, since it uses less digits than its factorization.

921434130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 126422 (or 126407 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 921434130 is about 30355.1335032478. The cubic root of 921434130 is about 973.0939329853.

Adding to 921434130 its reverse (31434129), we get a palindrome (952868259).

The spelling of 921434130 in words is "nine hundred twenty-one million, four hundred thirty-four thousand, one hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 81 90 135 162 243 270 405 486 729 810 1215 1458 2430 3645 7290 126397 252794 379191 631985 758382 1137573 1263970 1895955 2275146 3412719 3791910 5687865 6825438 10238157 11375730 17063595 20476314 30714471 34127190 51190785 61428942 92143413 102381570 153572355 184286826 307144710 460717065 921434130