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20402304 = 273136167
BaseRepresentation
bin100110111010…
…1000010000000
31102101112200220
41031311002000
520210333204
62005143040
7335262636
oct115650200
942345626
1020402304
111057560a
1269baa80
1342c4590
1429d1356
151bd01d9
hex1375080

20402304 has 128 divisors (see below), whose sum is σ = 60204480. Its totient is φ = 6082560.

The previous prime is 20402287. The next prime is 20402321. The reversal of 20402304 is 40320402.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (20402287) and next prime (20402321).

It is a tau number, because it is divible by the number of its divisors (128).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 304479 + ... + 304545.

Almost surely, 220402304 is an apocalyptic number.

20402304 is a gapful number since it is divisible by the number (24) 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 20402304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30102240).

20402304 is an abundant number, since it is smaller than the sum of its proper divisors (39802176).

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

20402304 is a wasteful number, since it uses less digits than its factorization.

20402304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 158 (or 146 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 15.

The square root of 20402304 is about 4516.8909661403. The cubic root of 20402304 is about 273.2497278835.

Adding to 20402304 its reverse (40320402), we get a palindrome (60722706).

It can be divided in two parts, 20402 and 304, that added together give a triangular number (20706 = T203).

The spelling of 20402304 in words is "twenty million, four hundred two thousand, three hundred four".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 61 64 67 78 96 104 122 128 134 156 183 192 201 208 244 268 312 366 384 402 416 488 536 624 732 793 804 832 871 976 1072 1248 1464 1586 1608 1664 1742 1952 2144 2379 2496 2613 2928 3172 3216 3484 3904 4087 4288 4758 4992 5226 5856 6344 6432 6968 7808 8174 8576 9516 10452 11712 12261 12688 12864 13936 16348 19032 20904 23424 24522 25376 25728 27872 32696 38064 41808 49044 50752 53131 55744 65392 76128 83616 98088 101504 106262 111488 130784 152256 159393 167232 196176 212524 261568 304512 318786 334464 392352 425048 523136 637572 784704 850096 1275144 1569408 1700192 2550288 3400384 5100576 6800768 10201152 20402304