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1082534640 = 243511433947
BaseRepresentation
bin100000010000110…
…0010101011110000
32210102222110100120
41000201202223300
54204112102030
6255230250240
735553251445
oct10041425360
92712873316
101082534640
11506076330
12262656980
13143377155
14a3ab39cc
1565086010
hex40862af0

1082534640 has 160 divisors (see below), whose sum is σ = 3673264896. Its totient is φ = 261550080.

The previous prime is 1082534627. The next prime is 1082534669. The reversal of 1082534640 is 464352801.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1142647 + ... + 1143593.

Almost surely, 21082534640 is an apocalyptic number.

1082534640 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 1082534640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1836632448).

1082534640 is an abundant number, since it is smaller than the sum of its proper divisors (2590730256).

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

1082534640 is a wasteful number, since it uses less digits than its factorization.

1082534640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1407 (or 1401 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 33.

The square root of 1082534640 is about 32901.8941703969. The cubic root of 1082534640 is about 1026.7875656430.

The spelling of 1082534640 in words is "one billion, eighty-two million, five hundred thirty-four thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 16 20 22 24 30 33 40 44 48 55 60 66 80 88 110 120 132 165 176 220 240 264 330 433 440 528 660 866 880 947 1299 1320 1732 1894 2165 2598 2640 2841 3464 3788 4330 4735 4763 5196 5682 6495 6928 7576 8660 9470 9526 10392 10417 11364 12990 14205 14289 15152 17320 18940 19052 20784 20834 22728 23815 25980 28410 28578 31251 34640 37880 38104 41668 45456 47630 51960 52085 56820 57156 62502 71445 75760 76208 83336 95260 103920 104170 113640 114312 125004 142890 156255 166672 190520 208340 227280 228624 250008 285780 312510 381040 410051 416680 500016 571560 625020 820102 833360 1143120 1230153 1250040 1640204 2050255 2460306 2500080 3280408 4100510 4510561 4920612 6150765 6560816 8201020 9021122 9841224 12301530 13531683 16402040 18042244 19682448 22552805 24603060 27063366 32804080 36084488 45105610 49206120 54126732 67658415 72168976 90211220 98412240 108253464 135316830 180422440 216506928 270633660 360844880 541267320 1082534640