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20945142 = 23571607
BaseRepresentation
bin100111111100…
…1100011110110
31110102010100000
41033321203312
520330221032
62024532130
7343013361
oct117714366
943363300
1020945142
1110906439
127021046
13445469a
142ad30d8
151c8ae7c
hex13f98f6

20945142 has 48 divisors (see below), whose sum is σ = 47803392. Its totient is φ = 6872040.

The previous prime is 20945117. The next prime is 20945149. The reversal of 20945142 is 24154902.

20945142 is a `hidden beast` number, since 209 + 451 + 4 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20945149) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 34203 + ... + 34809.

It is an arithmetic number, because the mean of its divisors is an integer number (995904).

Almost surely, 220945142 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20945142, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23901696).

20945142 is an abundant number, since it is smaller than the sum of its proper divisors (26858250).

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

20945142 is an equidigital number, since it uses as much as digits as its factorization.

20945142 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 695 (or 683 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 20945142 is about 4576.5862823725. The cubic root of 20945142 is about 275.6519715380.

The spelling of 20945142 in words is "twenty million, nine hundred forty-five thousand, one hundred forty-two".

Divisors: 1 2 3 6 9 18 27 54 71 81 142 162 213 243 426 486 607 639 1214 1278 1821 1917 3642 3834 5463 5751 10926 11502 16389 17253 32778 34506 43097 49167 86194 98334 129291 147501 258582 295002 387873 775746 1163619 2327238 3490857 6981714 10472571 20945142