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1065429840 = 243529473257
BaseRepresentation
bin111111100000010…
…010101101010000
32202020210102222110
4333200102231100
54140222223330
6253415505320
735255001306
oct7740225520
92666712873
101065429840
114a7453232
12258988240
1313c968777
14a1700276
1563807db0
hex3f812b50

1065429840 has 160 divisors (see below), whose sum is σ = 3490490880. Its totient is φ = 268398592.

The previous prime is 1065429839. The next prime is 1065429853. The reversal of 1065429840 is 489245601.

It is a super-2 number, since 2×10654298402 = 2270281487924851200, which contains 22 as substring.

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, 325492 + ... + 328748.

It is an arithmetic number, because the mean of its divisors is an integer number (21815568).

Almost surely, 21065429840 is an apocalyptic number.

1065429840 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 1065429840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1745245440).

1065429840 is an abundant number, since it is smaller than the sum of its proper divisors (2425061040).

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

1065429840 is a wasteful number, since it uses less digits than its factorization.

1065429840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3349 (or 3343 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 39.

The square root of 1065429840 is about 32640.9227810735. The cubic root of 1065429840 is about 1021.3508438137.

The spelling of 1065429840 in words is "one billion, sixty-five million, four hundred twenty-nine thousand, eight hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 29 30 40 47 48 58 60 80 87 94 116 120 141 145 174 188 232 235 240 282 290 348 376 435 464 470 564 580 696 705 752 870 940 1128 1160 1363 1392 1410 1740 1880 2256 2320 2726 2820 3257 3480 3760 4089 5452 5640 6514 6815 6960 8178 9771 10904 11280 13028 13630 16285 16356 19542 20445 21808 26056 27260 32570 32712 39084 40890 48855 52112 54520 65140 65424 78168 81780 94453 97710 109040 130280 153079 156336 163560 188906 195420 260560 283359 306158 327120 377812 390840 459237 472265 566718 612316 755624 765395 781680 918474 944530 1133436 1224632 1416795 1511248 1530790 1836948 1889060 2266872 2296185 2449264 2833590 3061580 3673896 3778120 4439291 4533744 4592370 5667180 6123160 7347792 7556240 8878582 9184740 11334360 12246320 13317873 17757164 18369480 22196455 22668720 26635746 35514328 36738960 44392910 53271492 66589365 71028656 88785820 106542984 133178730 177571640 213085968 266357460 355143280 532714920 1065429840