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20212608 = 273134049
BaseRepresentation
bin100110100011…
…0101110000000
31102000220111010
41031012232000
520133300413
62001120520
7333542613
oct115065600
942026433
1020212608
1110456039
126929140
134259130
14298217a
151b93dc3
hex1346b80

20212608 has 64 divisors (see below), whose sum is σ = 57834000. Its totient is φ = 6217728.

The previous prime is 20212603. The next prime is 20212639. The reversal of 20212608 is 80621202.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20212603) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2968 + ... + 7016.

Almost surely, 220212608 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 20212608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28917000).

20212608 is an abundant number, since it is smaller than the sum of its proper divisors (37621392).

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

20212608 is a wasteful number, since it uses less digits than its factorization.

20212608 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4079 (or 4067 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 21.

The square root of 20212608 is about 4495.8434136433. The cubic root of 20212608 is about 272.4002182157.

The spelling of 20212608 in words is "twenty million, two hundred twelve thousand, six hundred eight".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 64 78 96 104 128 156 192 208 312 384 416 624 832 1248 1664 2496 4049 4992 8098 12147 16196 24294 32392 48588 52637 64784 97176 105274 129568 157911 194352 210548 259136 315822 388704 421096 518272 631644 777408 842192 1263288 1554816 1684384 2526576 3368768 5053152 6737536 10106304 20212608