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20608464 = 2431959383
BaseRepresentation
bin100111010011…
…1010111010000
31102210000111110
41032213113100
520233432324
62013413320
7340111662
oct116472720
942700443
1020608464
11106a6498
126a9a240
134367376
142a46532
151c21329
hex13a75d0

20608464 has 80 divisors (see below), whose sum is σ = 57139200. Its totient is φ = 6380928.

The previous prime is 20608453. The next prime is 20608477. The reversal of 20608464 is 46480602.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 53617 + ... + 53999.

It is an arithmetic number, because the mean of its divisors is an integer number (714240).

Almost surely, 220608464 is an apocalyptic number.

20608464 is a gapful number since it is divisible by the number (24) 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 20608464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28569600).

20608464 is an abundant number, since it is smaller than the sum of its proper divisors (36530736).

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

20608464 is a wasteful number, since it uses less digits than its factorization.

20608464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 472 (or 466 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 30.

The square root of 20608464 is about 4539.6546124127. The cubic root of 20608464 is about 274.1670177141.

The spelling of 20608464 in words is "twenty million, six hundred eight thousand, four hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 16 19 24 38 48 57 59 76 114 118 152 177 228 236 304 354 383 456 472 708 766 912 944 1121 1149 1416 1532 2242 2298 2832 3064 3363 4484 4596 6128 6726 7277 8968 9192 13452 14554 17936 18384 21831 22597 26904 29108 43662 45194 53808 58216 67791 87324 90388 116432 135582 174648 180776 271164 349296 361552 429343 542328 858686 1084656 1288029 1717372 2576058 3434744 5152116 6869488 10304232 20608464