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20400402 = 23112389151
BaseRepresentation
bin100110111010…
…0100100010010
31102101110002110
41031310210102
520210303102
62005130150
7335254251
oct115644422
942343073
1020400402
1110574140
1269b9956
1342c3759
1429d0798
151bce86c
hex1374912

20400402 has 64 divisors (see below), whose sum is σ = 47278080. Its totient is φ = 5808000.

The previous prime is 20400377. The next prime is 20400421.

20400402 is nontrivially palindromic in base 10.

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, 135027 + ... + 135177.

It is an arithmetic number, because the mean of its divisors is an integer number (738720).

Almost surely, 220400402 is an apocalyptic number.

20400402 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 20400402, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23639040).

20400402 is an abundant number, since it is smaller than the sum of its proper divisors (26877678).

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

20400402 is a wasteful number, since it uses less digits than its factorization.

20400402 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 279.

The product of its (nonzero) digits is 64, while the sum is 12.

The square root of 20400402 is about 4516.6804181832. The cubic root of 20400402 is about 273.2412364058.

It can be divided in two parts, 20400 and 402, that added together give a palindrome (20802).

The spelling of 20400402 in words is "twenty million, four hundred thousand, four hundred two".

Divisors: 1 2 3 6 11 22 23 33 46 66 69 89 138 151 178 253 267 302 453 506 534 759 906 979 1518 1661 1958 2047 2937 3322 3473 4094 4983 5874 6141 6946 9966 10419 12282 13439 20838 22517 26878 38203 40317 45034 67551 76406 80634 114609 135102 147829 229218 295658 309097 443487 618194 886974 927291 1854582 3400067 6800134 10200201 20400402