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20678240 = 2551131379
BaseRepresentation
bin100111011100…
…0011001100000
31102220120012202
41032320121200
520243200430
62015112332
7340522262
oct116703140
942816182
1020678240
1110743960
126b126a8
13439005b
142a63b32
151c36d45
hex13b8660

20678240 has 96 divisors (see below), whose sum is σ = 55157760. Its totient is φ = 7257600.

The previous prime is 20678197. The next prime is 20678263. The reversal of 20678240 is 4287602.

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 54371 + ... + 54749.

It is an arithmetic number, because the mean of its divisors is an integer number (574560).

Almost surely, 220678240 is an apocalyptic number.

20678240 is a gapful number since it is divisible by the number (20) 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 20678240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27578880).

20678240 is an abundant number, since it is smaller than the sum of its proper divisors (34479520).

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

20678240 is a wasteful number, since it uses less digits than its factorization.

20678240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 436 (or 428 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 29.

The square root of 20678240 is about 4547.3332844646. Note that the first 3 decimals coincide. The cubic root of 20678240 is about 274.4760934408.

The spelling of 20678240 in words is "twenty million, six hundred seventy-eight thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 11 16 20 22 31 32 40 44 55 62 80 88 110 124 155 160 176 220 248 310 341 352 379 440 496 620 682 758 880 992 1240 1364 1516 1705 1760 1895 2480 2728 3032 3410 3790 4169 4960 5456 6064 6820 7580 8338 10912 11749 12128 13640 15160 16676 20845 23498 27280 30320 33352 41690 46996 54560 58745 60640 66704 83380 93992 117490 129239 133408 166760 187984 234980 258478 333520 375968 469960 516956 646195 667040 939920 1033912 1292390 1879840 2067824 2584780 4135648 5169560 10339120 20678240