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20764480 = 2651117347
BaseRepresentation
bin100111100110…
…1011101000000
31110001221111211
41033031131000
520303430410
62021015504
7341331562
oct117153500
943057454
1020764480
11107a2730
126b54594
1343c0399
142a87332
151c5268a
hex13cd740

20764480 has 112 divisors (see below), whose sum is σ = 57278016. Its totient is φ = 7086080.

The previous prime is 20764427. The next prime is 20764487. The reversal of 20764480 is 8446702.

It is a hoax number, since the sum of its digits (31) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20764487) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 59667 + ... + 60013.

Almost surely, 220764480 is an apocalyptic number.

20764480 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20764480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28639008).

20764480 is an abundant number, since it is smaller than the sum of its proper divisors (36513536).

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

20764480 is a wasteful number, since it uses less digits than its factorization.

20764480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 392 (or 382 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 31.

The square root of 20764480 is about 4556.8058988726. The cubic root of 20764480 is about 274.8571379174.

It can be divided in two parts, 2076 and 4480, that added together give a palindrome (6556).

The spelling of 20764480 in words is "twenty million, seven hundred sixty-four thousand, four hundred eighty".

Divisors: 1 2 4 5 8 10 11 16 17 20 22 32 34 40 44 55 64 68 80 85 88 110 136 160 170 176 187 220 272 320 340 347 352 374 440 544 680 694 704 748 880 935 1088 1360 1388 1496 1735 1760 1870 2720 2776 2992 3470 3520 3740 3817 5440 5552 5899 5984 6940 7480 7634 11104 11798 11968 13880 14960 15268 19085 22208 23596 27760 29495 29920 30536 38170 47192 55520 58990 59840 61072 64889 76340 94384 111040 117980 122144 129778 152680 188768 235960 244288 259556 305360 324445 377536 471920 519112 610720 648890 943840 1038224 1221440 1297780 1887680 2076448 2595560 4152896 5191120 10382240 20764480