Search a number
-
+
412253010 = 233513671753
BaseRepresentation
bin11000100100100…
…111101101010010
31001201201121211000
4120210213231102
51321014044020
6104524002430
713134043551
oct3044475522
91051647730
10412253010
111a1784874
12b6090416
13675417c0
143ca73d98
15262d4090
hex18927b52

412253010 has 128 divisors (see below), whose sum is σ = 1202261760. Its totient is φ = 99906048.

The previous prime is 412252993. The next prime is 412253029. The reversal of 412253010 is 10352214.

412253010 is a `hidden beast` number, since 4 + 122 + 530 + 10 = 666.

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

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 234294 + ... + 236046.

It is an arithmetic number, because the mean of its divisors is an integer number (9392670).

Almost surely, 2412253010 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 412253010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (601130880).

412253010 is an abundant number, since it is smaller than the sum of its proper divisors (790008750).

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

412253010 is a wasteful number, since it uses less digits than its factorization.

412253010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1849 (or 1843 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 412253010 is about 20304.0146276543. The cubic root of 412253010 is about 744.2541730424.

The spelling of 412253010 in words is "four hundred twelve million, two hundred fifty-three thousand, ten".

Divisors: 1 2 3 5 6 9 10 13 15 18 26 27 30 39 45 54 65 67 78 90 117 130 134 135 195 201 234 270 335 351 390 402 585 603 670 702 871 1005 1170 1206 1742 1753 1755 1809 2010 2613 3015 3506 3510 3618 4355 5226 5259 6030 7839 8710 8765 9045 10518 13065 15678 15777 17530 18090 22789 23517 26130 26295 31554 39195 45578 47034 47331 52590 68367 78390 78885 94662 113945 117451 117585 136734 157770 205101 227890 234902 235170 236655 341835 352353 410202 473310 587255 615303 683670 704706 1025505 1057059 1174510 1230606 1526863 1761765 2051010 2114118 3053726 3076515 3171177 3523530 4580589 5285295 6153030 6342354 7634315 9161178 10570590 13741767 15268630 15855885 22902945 27483534 31711770 41225301 45805890 68708835 82450602 137417670 206126505 412253010