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1054134480 = 243574571373
BaseRepresentation
bin111110110101001…
…101000011010000
32201110112120122210
4332311031003100
54124324300410
6252333432120
735056665240
oct7665150320
92643476583
101054134480
114a1038923
1225503b640
1313a512419
149ddddb20
1562826220
hex3ed4d0d0

1054134480 has 160 divisors (see below), whose sum is σ = 3745545984. Its totient is φ = 240242688.

The previous prime is 1054134479. The next prime is 1054134491. The reversal of 1054134480 is 844314501.

1054134480 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×10541344802 = 2222399003849740800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 767074 + ... + 768446.

Almost surely, 21054134480 is an apocalyptic number.

1054134480 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 1054134480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1872772992).

1054134480 is an abundant number, since it is smaller than the sum of its proper divisors (2691411504).

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

1054134480 is a wasteful number, since it uses less digits than its factorization.

1054134480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1853 (or 1847 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 30.

The square root of 1054134480 is about 32467.4372256265. The cubic root of 1054134480 is about 1017.7286637429.

Adding to 1054134480 its reverse (844314501), we get a palindrome (1898448981).

The spelling of 1054134480 in words is "one billion, fifty-four million, one hundred thirty-four thousand, four hundred eighty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 28 30 35 40 42 48 56 60 70 80 84 105 112 120 140 168 210 240 280 336 420 457 560 840 914 1371 1373 1680 1828 2285 2742 2746 3199 3656 4119 4570 5484 5492 6398 6855 6865 7312 8238 9140 9597 9611 10968 10984 12796 13710 13730 15995 16476 18280 19194 19222 20595 21936 21968 25592 27420 27460 28833 31990 32952 36560 38388 38444 41190 47985 48055 51184 54840 54920 57666 63980 65904 76776 76888 82380 95970 96110 109680 109840 115332 127960 144165 153552 153776 164760 191940 192220 230664 255920 288330 329520 383880 384440 461328 576660 627461 767760 768880 1153320 1254922 1882383 2306640 2509844 3137305 3764766 4392227 5019688 6274610 7529532 8784454 9411915 10039376 12549220 13176681 15059064 17568908 18823830 21961135 25098440 26353362 30118128 35137816 37647660 43922270 50196880 52706724 65883405 70275632 75295320 87844540 105413448 131766810 150590640 175689080 210826896 263533620 351378160 527067240 1054134480