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403280020 = 2251113372103
BaseRepresentation
bin11000000010011…
…001000010010100
31001002211202012001
4120002121002110
51311214430040
6104003405044
712664552333
oct3002310224
91032752161
10403280020
11197706280
12b3083784
136571c540
143b7b9d1a
152561059a
hex18099094

403280020 has 144 divisors (see below), whose sum is σ = 1032490368. Its totient is φ = 130429440.

The previous prime is 403280011. The next prime is 403280029. The reversal of 403280020 is 20082304.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (403280011) and next prime (403280029).

It is a self number, because there is not a number n which added to its sum of digits gives 403280020.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (403280029) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3915289 + ... + 3915391.

It is an arithmetic number, because the mean of its divisors is an integer number (7170072).

Almost surely, 2403280020 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 403280020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (516245184).

403280020 is an abundant number, since it is smaller than the sum of its proper divisors (629210348).

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

403280020 is a wasteful number, since it uses less digits than its factorization.

403280020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 210 (or 171 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 19.

The square root of 403280020 is about 20081.8330836605. The cubic root of 403280020 is about 738.8147693400.

The spelling of 403280020 in words is "four hundred three million, two hundred eighty thousand, twenty".

Divisors: 1 2 4 5 10 11 13 20 22 26 37 44 52 55 65 74 103 110 130 143 148 185 206 220 260 286 370 407 412 481 515 572 715 740 814 962 1030 1133 1339 1369 1430 1628 1924 2035 2060 2266 2405 2678 2738 2860 3811 4070 4532 4810 5291 5356 5476 5665 6695 6845 7622 8140 9620 10582 11330 13390 13690 14729 15059 15244 17797 19055 21164 22660 26455 26780 27380 29458 30118 35594 38110 41921 49543 52910 58916 60236 71188 73645 75295 76220 83842 88985 99086 105820 141007 147290 150590 167684 177970 195767 198172 209605 247715 282014 294580 301180 355940 391534 419210 495430 544973 564028 705035 783068 838420 978835 990860 1089946 1410070 1551077 1833091 1957670 2179892 2724865 2820140 3102154 3666182 3915340 5449730 6204308 7332364 7755385 9165455 10899460 15510770 18330910 20164001 31021540 36661820 40328002 80656004 100820005 201640010 403280020