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1210413020 = 225294348533
BaseRepresentation
bin100100000100101…
…0110111111011100
310010100121100111212
41020021112333130
54434331204040
6320035203552
741665224635
oct11011267734
93110540455
101210413020
11571279243
122994465b8
131639cc02b
14b6a8088c
15713e5d65
hex48256fdc

1210413020 has 48 divisors (see below), whose sum is σ = 2690724960. Its totient is φ = 456589056.

The previous prime is 1210412999. The next prime is 1210413023. The reversal of 1210413020 is 203140121.

It is a junction number, because it is equal to n+sod(n) for n = 1210412986 and 1210413004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1210413023) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 674 + ... + 49206.

It is an arithmetic number, because the mean of its divisors is an integer number (56056770).

Almost surely, 21210413020 is an apocalyptic number.

1210413020 is a gapful number since it is divisible by the number (10) 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 1210413020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1345362480).

1210413020 is an abundant number, since it is smaller than the sum of its proper divisors (1480311940).

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

1210413020 is a wasteful number, since it uses less digits than its factorization.

1210413020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 48614 (or 48612 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 14.

The square root of 1210413020 is about 34790.9905004155. The cubic root of 1210413020 is about 1065.7234667857.

Adding to 1210413020 its reverse (203140121), we get a palindrome (1413553141).

The spelling of 1210413020 in words is "one billion, two hundred ten million, four hundred thirteen thousand, twenty".

Divisors: 1 2 4 5 10 20 29 43 58 86 116 145 172 215 290 430 580 860 1247 2494 4988 6235 12470 24940 48533 97066 194132 242665 485330 970660 1407457 2086919 2814914 4173838 5629828 7037285 8347676 10434595 14074570 20869190 28149140 41738380 60520651 121041302 242082604 302603255 605206510 1210413020