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20364048 = 243419827
BaseRepresentation
bin100110110101…
…1101100010000
31102022121020000
41031223230100
520203122143
62004250000
7335043255
oct115535420
942277200
1020364048
11105498a1
1269a0900
1342b0043
1429c142c
151bc3bd3
hex136bb10

20364048 has 100 divisors (see below), whose sum is σ = 62116560. Its totient is φ = 6422976.

The previous prime is 20364037. The next prime is 20364073. The reversal of 20364048 is 84046302.

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

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, 24211 + ... + 25037.

Almost surely, 220364048 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 20364048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31058280).

20364048 is an abundant number, since it is smaller than the sum of its proper divisors (41752512).

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

20364048 is a wasteful number, since it uses less digits than its factorization.

20364048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 866 (or 851 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The square root of 20364048 is about 4512.6542078914. The cubic root of 20364048 is about 273.0788324446.

It can be divided in two parts, 2036 and 4048, that added together give a square (6084 = 782).

The spelling of 20364048 in words is "twenty million, three hundred sixty-four thousand, forty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 19 24 27 36 38 48 54 57 72 76 81 108 114 144 152 162 171 216 228 304 324 342 432 456 513 648 684 827 912 1026 1296 1368 1539 1654 2052 2481 2736 3078 3308 4104 4962 6156 6616 7443 8208 9924 12312 13232 14886 15713 19848 22329 24624 29772 31426 39696 44658 47139 59544 62852 66987 89316 94278 119088 125704 133974 141417 178632 188556 251408 267948 282834 357264 377112 424251 535896 565668 754224 848502 1071792 1131336 1272753 1697004 2262672 2545506 3394008 5091012 6788016 10182024 20364048