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9415023020 = 22513312814157
BaseRepresentation
bin10001100010010110…
…11101100110101100
3220022011000201120022
420301023131212230
5123240221214040
64154124341312
7452212242464
oct106113354654
926264021508
109415023020
113aa1598167
1219a90a4838
13b70751850
146545aaba4
153a185b6b5
hex2312dd9ac

9415023020 has 96 divisors (see below), whose sum is σ = 22062813696. Its totient is φ = 3351398400.

The previous prime is 9415023019. The next prime is 9415023041. The reversal of 9415023020 is 203205149.

9415023020 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (26).

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 31 ways as a sum of consecutive naturals, for example, 2262782 + ... + 2266938.

It is an arithmetic number, because the mean of its divisors is an integer number (229820976).

Almost surely, 29415023020 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9415023020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11031406848).

9415023020 is an abundant number, since it is smaller than the sum of its proper divisors (12647790676).

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

9415023020 is a wasteful number, since it uses less digits than its factorization.

9415023020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4491 (or 4489 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 26.

The square root of 9415023020 is about 97031.0415279564. The cubic root of 9415023020 is about 2111.5780009299.

Adding to 9415023020 its reverse (203205149), we get a palindrome (9618228169).

The spelling of 9415023020 in words is "nine billion, four hundred fifteen million, twenty-three thousand, twenty".

Divisors: 1 2 4 5 10 13 20 26 31 52 62 65 124 130 155 260 281 310 403 562 620 806 1124 1405 1612 2015 2810 3653 4030 4157 5620 7306 8060 8314 8711 14612 16628 17422 18265 20785 34844 36530 41570 43555 54041 73060 83140 87110 108082 113243 128867 174220 216164 226486 257734 270205 452972 515468 540410 566215 644335 1080820 1132430 1168117 1288670 1675271 2264860 2336234 2577340 3350542 4672468 5840585 6701084 8376355 11681170 15185521 16752710 23362340 30371042 33505420 36211627 60742084 72423254 75927605 144846508 151855210 181058135 303710420 362116270 470751151 724232540 941502302 1883004604 2353755755 4707511510 9415023020