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1534080 = 27351747
BaseRepresentation
bin101110110100010000000
32212221100210
411312202000
5343042310
652514120
716016352
oct5664200
92787323
101534080
11958639
1261b940
13419352
142bd0d2
15204820
hex176880

1534080 has 128 divisors (see below), whose sum is σ = 5287680. Its totient is φ = 376832.

The previous prime is 1534073. The next prime is 1534081. The reversal of 1534080 is 804351.

It is a tau number, because it is divible by the number of its divisors (128).

It is an Ulam number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1534081) 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, 32617 + ... + 32663.

It is an arithmetic number, because the mean of its divisors is an integer number (41310).

21534080 is an apocalyptic number.

1534080 is a gapful number since it is divisible by the number (10) 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 1534080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2643840).

1534080 is an abundant number, since it is smaller than the sum of its proper divisors (3753600).

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

1534080 is a wasteful number, since it uses less digits than its factorization.

1534080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 86 (or 74 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 21.

The square root of 1534080 is about 1238.5798319043. The cubic root of 1534080 is about 115.3318705937.

The spelling of 1534080 in words is "one million, five hundred thirty-four thousand, eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 17 20 24 30 32 34 40 47 48 51 60 64 68 80 85 94 96 102 120 128 136 141 160 170 188 192 204 235 240 255 272 282 320 340 376 384 408 470 480 510 544 564 640 680 705 752 799 816 940 960 1020 1088 1128 1360 1410 1504 1598 1632 1880 1920 2040 2176 2256 2397 2720 2820 3008 3196 3264 3760 3995 4080 4512 4794 5440 5640 6016 6392 6528 7520 7990 8160 9024 9588 10880 11280 11985 12784 15040 15980 16320 18048 19176 22560 23970 25568 30080 31960 32640 38352 45120 47940 51136 63920 76704 90240 95880 102272 127840 153408 191760 255680 306816 383520 511360 767040 1534080