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20078208 = 273229601
BaseRepresentation
bin100110010010…
…1111010000000
31101210002010100
41030211322000
520120000313
61554202400
7332443023
oct114457200
941702110
1020078208
1110374067
126883400
13420cbc7
1429491ba
151b69173
hex1325e80

20078208 has 96 divisors (see below), whose sum is σ = 59868900. Its totient is φ = 6451200.

The previous prime is 20078189. The next prime is 20078213. The reversal of 20078208 is 80287002.

It can be written as a sum of positive squares in 2 ways, for example, as 19289664 + 788544 = 4392^2 + 888^2 .

It is a tau number, because it is divible by the number of its divisors (96).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 33108 + ... + 33708.

Almost surely, 220078208 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 20078208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29934450).

20078208 is an abundant number, since it is smaller than the sum of its proper divisors (39790692).

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

20078208 is a wasteful number, since it uses less digits than its factorization.

20078208 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 650 (or 635 counting only the distinct ones).

The product of its (nonzero) digits is 1792, while the sum is 27.

The square root of 20078208 is about 4480.8713438348. The cubic root of 20078208 is about 271.7951167606.

The spelling of 20078208 in words is "twenty million, seventy-eight thousand, two hundred eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 29 32 36 48 58 64 72 87 96 116 128 144 174 192 232 261 288 348 384 464 522 576 601 696 928 1044 1152 1202 1392 1803 1856 2088 2404 2784 3606 3712 4176 4808 5409 5568 7212 8352 9616 10818 11136 14424 16704 17429 19232 21636 28848 33408 34858 38464 43272 52287 57696 69716 76928 86544 104574 115392 139432 156861 173088 209148 230784 278864 313722 346176 418296 557728 627444 692352 836592 1115456 1254888 1673184 2230912 2509776 3346368 5019552 6692736 10039104 20078208