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20553904 = 2472379101
BaseRepresentation
bin100111001101…
…0000010110000
31102200020122201
41032122002300
520230211104
62012312544
7336463630
oct116320260
942606581
1020553904
11106694a8
126a72754
134348597
142a306c0
151c100a4
hex139a0b0

20553904 has 80 divisors (see below), whose sum is σ = 48568320. Its totient is φ = 8236800.

The previous prime is 20553893. The next prime is 20553931. The reversal of 20553904 is 40935502.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 203454 + ... + 203554.

It is an arithmetic number, because the mean of its divisors is an integer number (607104).

Almost surely, 220553904 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 20553904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24284160).

20553904 is an abundant number, since it is smaller than the sum of its proper divisors (28014416).

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

20553904 is a wasteful number, since it uses less digits than its factorization.

20553904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 218 (or 212 counting only the distinct ones).

The product of its (nonzero) digits is 5400, while the sum is 28.

The square root of 20553904 is about 4533.6413620841. The cubic root of 20553904 is about 273.9248555190.

The spelling of 20553904 in words is "twenty million, five hundred fifty-three thousand, nine hundred four".

Divisors: 1 2 4 7 8 14 16 23 28 46 56 79 92 101 112 158 161 184 202 316 322 368 404 553 632 644 707 808 1106 1264 1288 1414 1616 1817 2212 2323 2576 2828 3634 4424 4646 5656 7268 7979 8848 9292 11312 12719 14536 15958 16261 18584 25438 29072 31916 32522 37168 50876 55853 63832 65044 101752 111706 127664 130088 183517 203504 223412 260176 367034 446824 734068 893648 1284619 1468136 2569238 2936272 5138476 10276952 20553904