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402020010 = 2345731447
BaseRepresentation
bin10111111101100…
…101011010101010
31001000110201210000
4113331211122222
51310404120020
6103520403430
712651054000
oct2775453252
91030421700
10402020010
11196a25647
12b2776576
136539ab82
143b56ca70
1525462090
hex17f656aa

402020010 has 160 divisors (see below), whose sum is σ = 1261497600. Its totient is φ = 91826784.

The previous prime is 402019949. The next prime is 402020023. The reversal of 402020010 is 10020204.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 402019974 and 402020001.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 277107 + ... + 278553.

It is an arithmetic number, because the mean of its divisors is an integer number (7884360).

Almost surely, 2402020010 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 402020010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (630748800).

402020010 is an abundant number, since it is smaller than the sum of its proper divisors (859477590).

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

402020010 is a wasteful number, since it uses less digits than its factorization.

402020010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1487 (or 1464 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 9.

The square root of 402020010 is about 20050.4366535993. The cubic root of 402020010 is about 738.0445144674.

Adding to 402020010 its reverse (10020204), we get a palindrome (412040214).

The spelling of 402020010 in words is "four hundred two million, twenty thousand, ten".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 27 30 35 42 45 49 54 63 70 81 90 98 105 126 135 147 162 189 210 245 270 294 315 343 378 405 441 490 567 630 686 735 810 882 945 1029 1134 1323 1447 1470 1715 1890 2058 2205 2646 2835 2894 3087 3430 3969 4341 4410 5145 5670 6174 6615 7235 7938 8682 9261 10129 10290 13023 13230 14470 15435 18522 19845 20258 21705 26046 27783 30387 30870 39069 39690 43410 46305 50645 55566 60774 65115 70903 78138 91161 92610 101290 117207 130230 138915 141806 151935 182322 195345 212709 234414 273483 277830 303870 354515 390690 425418 455805 496321 546966 586035 638127 709030 820449 911610 992642 1063545 1172070 1276254 1367415 1488963 1640898 1914381 2127090 2481605 2734830 2977926 3190635 3828762 4102245 4466889 4963210 5743143 6381270 7444815 8204490 8933778 9571905 11486286 13400667 14889630 19143810 22334445 26801334 28715715 40202001 44668890 57431430 67003335 80404002 134006670 201010005 402020010