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20374416 = 243479199
BaseRepresentation
bin100110110111…
…0001110010000
31102100010110000
41031232032100
520203440131
62004410000
7335115426
oct115561620
942303400
1020374416
1110556667
1269a6900
1342b498a
1429c5116
151bc6ce6
hex136e390

20374416 has 100 divisors (see below), whose sum is σ = 60016000. Its totient is φ = 6671808.

The previous prime is 20374399. The next prime is 20374421. The reversal of 20374416 is 61447302.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a self number, because there is not a number n which added to its sum of digits gives 20374416.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 102285 + ... + 102483.

It is an arithmetic number, because the mean of its divisors is an integer number (600160).

Almost surely, 220374416 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 20374416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30008000).

20374416 is an abundant number, since it is smaller than the sum of its proper divisors (39641584).

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

20374416 is a wasteful number, since it uses less digits than its factorization.

20374416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 298 (or 283 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 27.

The square root of 20374416 is about 4513.8028313164. The cubic root of 20374416 is about 273.1251690238.

The spelling of 20374416 in words is "twenty million, three hundred seventy-four thousand, four hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 79 81 108 144 158 162 199 216 237 316 324 398 432 474 597 632 648 711 796 948 1194 1264 1296 1422 1592 1791 1896 2133 2388 2844 3184 3582 3792 4266 4776 5373 5688 6399 7164 8532 9552 10746 11376 12798 14328 15721 16119 17064 21492 25596 28656 31442 32238 34128 42984 47163 51192 62884 64476 85968 94326 102384 125768 128952 141489 188652 251536 257904 282978 377304 424467 565956 754608 848934 1131912 1273401 1697868 2263824 2546802 3395736 5093604 6791472 10187208 20374416