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20507136 = 29313279
BaseRepresentation
bin100111000111…
…0101000000000
31102120212111120
41032032220000
520222212021
62011312240
7336210366
oct116165000
942525446
1020507136
1110637351
126a4b680
134330200
142a1b636
151c012c6
hex138ea00

20507136 has 120 divisors (see below), whose sum is σ = 59906880. Its totient is φ = 6230016.

The previous prime is 20507111. The next prime is 20507171. The reversal of 20507136 is 63170502.

It is a Harshad number since it is a multiple of its sum of digits (24).

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, 259545 + ... + 259623.

It is an arithmetic number, because the mean of its divisors is an integer number (499224).

Almost surely, 220507136 is an apocalyptic number.

20507136 is a gapful number since it is divisible by the number (26) 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 20507136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29953440).

20507136 is an abundant number, since it is smaller than the sum of its proper divisors (39399744).

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

20507136 is an equidigital number, since it uses as much as digits as its factorization.

20507136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 126 (or 97 counting only the distinct ones).

The product of its (nonzero) digits is 1260, while the sum is 24.

The square root of 20507136 is about 4528.4805398721. The cubic root of 20507136 is about 273.7169364375.

Adding to 20507136 its reverse (63170502), we get a palindrome (83677638).

The spelling of 20507136 in words is "twenty million, five hundred seven thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 64 78 79 96 104 128 156 158 169 192 208 237 256 312 316 338 384 416 474 507 512 624 632 676 768 832 948 1014 1027 1248 1264 1352 1536 1664 1896 2028 2054 2496 2528 2704 3081 3328 3792 4056 4108 4992 5056 5408 6162 6656 7584 8112 8216 9984 10112 10816 12324 13351 15168 16224 16432 19968 20224 21632 24648 26702 30336 32448 32864 40053 40448 43264 49296 53404 60672 64896 65728 80106 86528 98592 106808 121344 129792 131456 160212 197184 213616 259584 262912 320424 394368 427232 525824 640848 788736 854464 1281696 1577472 1708928 2563392 3417856 5126784 6835712 10253568 20507136