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6072346740 = 2235538272309
BaseRepresentation
bin1011010011111000…
…01010100001110100
3120200012012011202010
411221330022201310
544414010043430
62442315244220
7303323044545
oct55174124164
916605164663
106072346740
112636754a89
121215749670
1375a0797a5
144186824cc
15258178cb0
hex169f0a874

6072346740 has 96 divisors (see below), whose sum is σ = 17351832960. Its totient is φ = 1586131456.

The previous prime is 6072346703. The next prime is 6072346741. The reversal of 6072346740 is 476432706.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6072346741) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2628706 + ... + 2631014.

It is an arithmetic number, because the mean of its divisors is an integer number (180748260).

Almost surely, 26072346740 is an apocalyptic number.

6072346740 is a gapful number since it is divisible by the number (60) 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 6072346740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8675916480).

6072346740 is an abundant number, since it is smaller than the sum of its proper divisors (11279486220).

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

6072346740 is a wasteful number, since it uses less digits than its factorization.

6072346740 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3201 (or 3199 counting only the distinct ones).

The product of its (nonzero) digits is 169344, while the sum is 39.

The square root of 6072346740 is about 77925.2638109105. The cubic root of 6072346740 is about 1824.3949194421.

The spelling of 6072346740 in words is "six billion, seventy-two million, three hundred forty-six thousand, seven hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 53 60 106 159 212 265 318 530 636 795 827 1060 1590 1654 2309 2481 3180 3308 4135 4618 4962 6927 8270 9236 9924 11545 12405 13854 16540 23090 24810 27708 34635 43831 46180 49620 69270 87662 122377 131493 138540 175324 219155 244754 262986 367131 438310 489508 525972 611885 657465 734262 876620 1223770 1314930 1468524 1835655 1909543 2447540 2629860 3671310 3819086 5728629 7342620 7638172 9547715 11457258 19095430 22914516 28643145 38190860 57286290 101205779 114572580 202411558 303617337 404823116 506028895 607234674 1012057790 1214469348 1518086685 2024115580 3036173370 6072346740