Search a number
-
+
1010414430 = 232543261089
BaseRepresentation
bin111100001110011…
…011001101011110
32121102021101000200
4330032123031132
54032131230210
6244132404330
734016244444
oct7416331536
92542241020
101010414430
11479397353
122424766a6
1313144557c
149829cb94
155da8c0c0
hex3c39b35e

1010414430 has 48 divisors (see below), whose sum is σ = 2688182640. Its totient is φ = 263176704.

The previous prime is 1010414429. The next prime is 1010414437. The reversal of 1010414430 is 344140101.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1010414437) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 126675 + ... + 134414.

It is an arithmetic number, because the mean of its divisors is an integer number (56003805).

Almost surely, 21010414430 is an apocalyptic number.

1010414430 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1010414430 is an abundant number, since it is smaller than the sum of its proper divisors (1677768210).

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

1010414430 is a wasteful number, since it uses less digits than its factorization.

1010414430 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 261145 (or 261142 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 1010414430 is about 31787.0166892082. The cubic root of 1010414430 is about 1003.4594947615.

Adding to 1010414430 its reverse (344140101), we get a palindrome (1354554531).

The spelling of 1010414430 in words is "one billion, ten million, four hundred fourteen thousand, four hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 30 43 45 86 90 129 215 258 387 430 645 774 1290 1935 3870 261089 522178 783267 1305445 1566534 2349801 2610890 3916335 4699602 7832670 11226827 11749005 22453654 23498010 33680481 56134135 67360962 101041443 112268270 168402405 202082886 336804810 505207215 1010414430