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20780376 = 23319199229
BaseRepresentation
bin100111101000…
…1010101011000
31110002202022120
41033101111120
520304433001
62021221240
7341426121
oct117212530
943082276
1020780376
1110803671
126b61820
1343c76a6
142a8d048
151c57236
hex13d1558

20780376 has 64 divisors (see below), whose sum is σ = 55200000. Its totient is φ = 6500736.

The previous prime is 20780369. The next prime is 20780393. The reversal of 20780376 is 67308702.

20780376 = 2192 + 2202 + ... + 4172.

It is a congruent number.

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, 90630 + ... + 90858.

It is an arithmetic number, because the mean of its divisors is an integer number (862500).

Almost surely, 220780376 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 20780376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27600000).

20780376 is an abundant number, since it is smaller than the sum of its proper divisors (34419624).

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

20780376 is a wasteful number, since it uses less digits than its factorization.

20780376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 456 (or 452 counting only the distinct ones).

The product of its (nonzero) digits is 14112, while the sum is 33.

The square root of 20780376 is about 4558.5497693894. The cubic root of 20780376 is about 274.9272578952.

The spelling of 20780376 in words is "twenty million, seven hundred eighty thousand, three hundred seventy-six".

Divisors: 1 2 3 4 6 8 12 19 24 38 57 76 114 152 199 228 229 398 456 458 597 687 796 916 1194 1374 1592 1832 2388 2748 3781 4351 4776 5496 7562 8702 11343 13053 15124 17404 22686 26106 30248 34808 45372 45571 52212 90744 91142 104424 136713 182284 273426 364568 546852 865849 1093704 1731698 2597547 3463396 5195094 6926792 10390188 20780376