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20434890 = 2357314373
BaseRepresentation
bin100110111110…
…0111111001010
31102110012101210
41031330333022
520212404030
62005553550
7335456640
oct115747712
942405353
1020434890
1110598043
126a158b6
134306368
1429dd190
151bd9bb0
hex137cfca

20434890 has 128 divisors (see below), whose sum is σ = 60014592. Its totient is φ = 4354560.

The previous prime is 20434873. The next prime is 20434913. The reversal of 20434890 is 9843402.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 279894 + ... + 279966.

It is an arithmetic number, because the mean of its divisors is an integer number (468864).

Almost surely, 220434890 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20434890, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30007296).

20434890 is an abundant number, since it is smaller than the sum of its proper divisors (39579702).

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

20434890 is a wasteful number, since it uses less digits than its factorization.

20434890 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 164.

The product of its (nonzero) digits is 6912, while the sum is 30.

The square root of 20434890 is about 4520.4966541299. The cubic root of 20434890 is about 273.3951261576.

The spelling of 20434890 in words is "twenty million, four hundred thirty-four thousand, eight hundred ninety".

Divisors: 1 2 3 5 6 7 10 14 15 21 30 31 35 42 43 62 70 73 86 93 105 129 146 155 186 210 215 217 219 258 301 310 365 430 434 438 465 511 602 645 651 730 903 930 1022 1085 1095 1290 1302 1333 1505 1533 1806 2170 2190 2263 2555 2666 3010 3066 3139 3255 3999 4515 4526 5110 6278 6510 6665 6789 7665 7998 9030 9331 9417 11315 13330 13578 15330 15695 15841 18662 18834 19995 21973 22630 27993 31390 31682 33945 39990 43946 46655 47085 47523 55986 65919 67890 79205 93310 94170 95046 97309 109865 131838 139965 158410 194618 219730 237615 279930 291927 329595 475230 486545 583854 659190 681163 973090 1362326 1459635 2043489 2919270 3405815 4086978 6811630 10217445 20434890