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20949504 = 29323593
BaseRepresentation
bin100111111101…
…0101000000000
31110102100022120
41033322220000
520330341004
62025004240
7343032162
oct117725000
943370276
1020949504
1110909744
127023680
134456674
142ad4932
151c8c3d9
hex13faa00

20949504 has 80 divisors (see below), whose sum is σ = 58335552. Its totient is φ = 6668288.

The previous prime is 20949499. The next prime is 20949529. The reversal of 20949504 is 40594902.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 35032 + ... + 35624.

Almost surely, 220949504 is an apocalyptic number.

20949504 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 20949504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29167776).

20949504 is an abundant number, since it is smaller than the sum of its proper divisors (37386048).

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

20949504 is an equidigital number, since it uses as much as digits as its factorization.

20949504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 637 (or 621 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 33.

The square root of 20949504 is about 4577.0628136393. The cubic root of 20949504 is about 275.6711058149.

The spelling of 20949504 in words is "twenty million, nine hundred forty-nine thousand, five hundred four".

Divisors: 1 2 3 4 6 8 12 16 23 24 32 46 48 64 69 92 96 128 138 184 192 256 276 368 384 512 552 593 736 768 1104 1186 1472 1536 1779 2208 2372 2944 3558 4416 4744 5888 7116 8832 9488 11776 13639 14232 17664 18976 27278 28464 35328 37952 40917 54556 56928 75904 81834 109112 113856 151808 163668 218224 227712 303616 327336 436448 455424 654672 872896 910848 1309344 1745792 2618688 3491584 5237376 6983168 10474752 20949504