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20740968 = 2333131733
BaseRepresentation
bin100111100011…
…1101101101000
31110000202021000
41033013231220
520302202333
62020315000
7341203203
oct117075550
943022230
1020740968
1110786aa6
126b42a60
1343b2781
142a7c93a
151c4a713
hex13c7b68

20740968 has 64 divisors (see below), whose sum is σ = 58132800. Its totient is φ = 6851520.

The previous prime is 20740939. The next prime is 20740981. The reversal of 20740968 is 86904702.

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

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, 27930 + ... + 28662.

It is an arithmetic number, because the mean of its divisors is an integer number (908325).

Almost surely, 220740968 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 20740968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29066400).

20740968 is an abundant number, since it is smaller than the sum of its proper divisors (37391832).

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

20740968 is a wasteful number, since it uses less digits than its factorization.

20740968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 879 (or 869 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 20740968 is about 4554.2252908700. The cubic root of 20740968 is about 274.7533568172.

The spelling of 20740968 in words is "twenty million, seven hundred forty thousand, nine hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 108 131 216 262 393 524 733 786 1048 1179 1466 1572 2199 2358 2932 3144 3537 4398 4716 5864 6597 7074 8796 9432 13194 14148 17592 19791 26388 28296 39582 52776 79164 96023 158328 192046 288069 384092 576138 768184 864207 1152276 1728414 2304552 2592621 3456828 5185242 6913656 10370484 20740968