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1020030424 = 237891031987
BaseRepresentation
bin111100110011000…
…110110111011000
32122002100220200121
4330303012313120
54042111433144
6245114443024
734164054430
oct7463066730
92562326617
101020030424
11483864a56
12245733474
131334313ca
14996832c0
155e83b384
hex3ccc6dd8

1020030424 has 64 divisors (see below), whose sum is σ = 2232921600. Its totient is φ = 427832064.

The previous prime is 1020030397. The next prime is 1020030433. The reversal of 1020030424 is 4240300201.

It is a junction number, because it is equal to n+sod(n) for n = 1020030398 and 1020030407.

It is a congruent number.

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, 512359 + ... + 514345.

It is an arithmetic number, because the mean of its divisors is an integer number (34889400).

Almost surely, 21020030424 is an apocalyptic number.

1020030424 is a gapful number since it is divisible by the number (14) 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 1020030424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1116460800).

1020030424 is an abundant number, since it is smaller than the sum of its proper divisors (1212891176).

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

1020030424 is a wasteful number, since it uses less digits than its factorization.

1020030424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2192 (or 2188 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 16.

The square root of 1020030424 is about 31937.9151479867. The cubic root of 1020030424 is about 1006.6327177904.

Adding to 1020030424 its reverse (4240300201), we get a palindrome (5260330625).

The spelling of 1020030424 in words is "one billion, twenty million, thirty thousand, four hundred twenty-four".

Divisors: 1 2 4 7 8 14 28 56 89 103 178 206 356 412 623 712 721 824 1246 1442 1987 2492 2884 3974 4984 5768 7948 9167 13909 15896 18334 27818 36668 55636 64169 73336 111272 128338 176843 204661 256676 353686 409322 513352 707372 818644 1237901 1414744 1432627 1637288 2475802 2865254 4951604 5730508 9903208 11461016 18214829 36429658 72859316 127503803 145718632 255007606 510015212 1020030424