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20946492 = 22337103269
BaseRepresentation
bin100111111100…
…1111000111100
31110102012012000
41033321320330
520330241432
62024542300
7343020330
oct117717074
943365160
1020946492
1110907456
127021990
134455198
142ad37c0
151c8b57c
hex13f9e3c

20946492 has 96 divisors (see below), whose sum is σ = 62899200. Its totient is φ = 5904576.

The previous prime is 20946487. The next prime is 20946503. The reversal of 20946492 is 29464902.

20946492 is a `hidden beast` number, since 2 + 0 + 9 + 4 + 649 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 77734 + ... + 78002.

It is an arithmetic number, because the mean of its divisors is an integer number (655200).

Almost surely, 220946492 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 20946492, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31449600).

20946492 is an abundant number, since it is smaller than the sum of its proper divisors (41952708).

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

20946492 is a wasteful number, since it uses less digits than its factorization.

20946492 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 392 (or 384 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The square root of 20946492 is about 4576.7337698407. The cubic root of 20946492 is about 275.6578937095.

The spelling of 20946492 in words is "twenty million, nine hundred forty-six thousand, four hundred ninety-two".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 42 54 63 84 103 108 126 189 206 252 269 309 378 412 538 618 721 756 807 927 1076 1236 1442 1614 1854 1883 2163 2421 2781 2884 3228 3708 3766 4326 4842 5562 5649 6489 7263 7532 8652 9684 11124 11298 12978 14526 16947 19467 22596 25956 27707 29052 33894 38934 50841 55414 67788 77868 83121 101682 110828 166242 193949 203364 249363 332484 387898 498726 581847 748089 775796 997452 1163694 1496178 1745541 2327388 2992356 3491082 5236623 6982164 10473246 20946492