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20901504 = 273135379
BaseRepresentation
bin100111110111…
…0111010000000
31110022220110210
41033232322000
520322322004
62023554120
7342442221
oct117567200
943286423
1020901504
1110886678
126bbb940
13443a870
142ac1248
151c7d089
hex13eee80

20901504 has 128 divisors (see below), whose sum is σ = 61689600. Its totient is φ = 6230016.

The previous prime is 20901499. The next prime is 20901509. The reversal of 20901504 is 40510902.

It is an interprime number because it is at equal distance from previous prime (20901499) and next prime (20901509).

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20901509) by changing a digit.

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, 264537 + ... + 264615.

It is an arithmetic number, because the mean of its divisors is an integer number (481950).

Almost surely, 220901504 is an apocalyptic number.

20901504 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 20901504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30844800).

20901504 is an abundant number, since it is smaller than the sum of its proper divisors (40788096).

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

20901504 is a wasteful number, since it uses less digits than its factorization.

20901504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 162 (or 150 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 21.

The square root of 20901504 is about 4571.8162692742. The cubic root of 20901504 is about 275.4604034207.

The spelling of 20901504 in words is "twenty million, nine hundred one thousand, five hundred four".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 53 64 78 79 96 104 106 128 156 158 159 192 208 212 237 312 316 318 384 416 424 474 624 632 636 689 832 848 948 1027 1248 1264 1272 1378 1664 1696 1896 2054 2067 2496 2528 2544 2756 3081 3392 3792 4108 4134 4187 4992 5056 5088 5512 6162 6784 7584 8216 8268 8374 10112 10176 11024 12324 12561 15168 16432 16536 16748 20352 22048 24648 25122 30336 32864 33072 33496 44096 49296 50244 54431 65728 66144 66992 88192 98592 100488 108862 131456 132288 133984 163293 197184 200976 217724 264576 267968 326586 394368 401952 435448 535936 653172 803904 870896 1306344 1607808 1741792 2612688 3483584 5225376 6967168 10450752 20901504