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412621220 = 225115983383
BaseRepresentation
bin11000100110000…
…001100110100100
31001202102022220102
4120212001212210
51321112334340
6104535523232
713140136214
oct3046014644
91052368812
10412621220
111a1a06480
12b6229518
136764028b
143cb2c244
1526358215
hex189819a4

412621220 has 96 divisors (see below), whose sum is σ = 975421440. Its totient is φ = 145343360.

The previous prime is 412621217. The next prime is 412621273. The reversal of 412621220 is 22126214.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 412621192 and 412621201.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1077149 + ... + 1077531.

It is an arithmetic number, because the mean of its divisors is an integer number (10160640).

Almost surely, 2412621220 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 412621220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (487710720).

412621220 is an abundant number, since it is smaller than the sum of its proper divisors (562800220).

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

412621220 is a wasteful number, since it uses less digits than its factorization.

412621220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 545 (or 543 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

The square root of 412621220 is about 20313.0800224880. The cubic root of 412621220 is about 744.4756877228.

Adding to 412621220 its reverse (22126214), we get a palindrome (434747434).

The spelling of 412621220 in words is "four hundred twelve million, six hundred twenty-one thousand, two hundred twenty".

Divisors: 1 2 4 5 10 11 20 22 44 55 59 83 110 118 166 220 236 295 332 383 415 590 649 766 830 913 1180 1298 1532 1660 1826 1915 2596 3245 3652 3830 4213 4565 4897 6490 7660 8426 9130 9794 12980 16852 18260 19588 21065 22597 24485 31789 42130 45194 48970 53867 63578 84260 90388 97940 107734 112985 127156 158945 215468 225970 248567 269335 317890 349679 451940 497134 538670 635780 699358 994268 1077340 1242835 1398716 1748395 1875551 2485670 3496790 3751102 4971340 6993580 7502204 9377755 18755510 20631061 37511020 41262122 82524244 103155305 206310610 412621220