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20796972 = 22372113313
BaseRepresentation
bin100111101010…
…1011000101100
31110010121002020
41033111120230
520311000342
62021430140
7341525400
oct117253054
943117066
1020796972
1110815089
126b6b350
134402101
142a95100
151c5c0ec
hex13d562c

20796972 has 72 divisors (see below), whose sum is σ = 57130416. Its totient is φ = 5870592.

The previous prime is 20796959. The next prime is 20797013. The reversal of 20796972 is 27969702.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 66288 + ... + 66600.

It is an arithmetic number, because the mean of its divisors is an integer number (793478).

Almost surely, 220796972 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 20796972, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28565208).

20796972 is an abundant number, since it is smaller than the sum of its proper divisors (36333444).

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

20796972 is a wasteful number, since it uses less digits than its factorization.

20796972 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 447 (or 438 counting only the distinct ones).

The product of its (nonzero) digits is 95256, while the sum is 42.

The square root of 20796972 is about 4560.3697218537. The cubic root of 20796972 is about 275.0004275475. Note that the first 3 decimals are identical.

It can be divided in two parts, 207 and 96972, that added together give a palindrome (97179).

The spelling of 20796972 in words is "twenty million, seven hundred ninety-six thousand, nine hundred seventy-two".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 49 84 98 113 147 196 226 294 313 339 452 588 626 678 791 939 1252 1356 1582 1878 2191 2373 3164 3756 4382 4746 5537 6573 8764 9492 11074 13146 15337 16611 22148 26292 30674 33222 35369 46011 61348 66444 70738 92022 106107 141476 184044 212214 247583 424428 495166 742749 990332 1485498 1733081 2970996 3466162 5199243 6932324 10398486 20796972