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6056701440 = 29351941507
BaseRepresentation
bin1011010010000000…
…11110111000000000
3120122002202022102120
411221000132320000
544401003421230
62441000044240
7303043053456
oct55100367000
916562668376
106056701440
112628939489
121210463680
13756a5c50a
1441656c9d6
15256ad8310
hex16901ee00

6056701440 has 160 divisors (see below), whose sum is σ = 20382088320. Its totient is φ = 1530077184.

The previous prime is 6056701439. The next prime is 6056701543. The reversal of 6056701440 is 441076506.

It is a tau number, because it is divible by the number of its divisors (160).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 125167 + ... + 166673.

It is an arithmetic number, because the mean of its divisors is an integer number (127388052).

Almost surely, 26056701440 is an apocalyptic number.

6056701440 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 6056701440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10191044160).

6056701440 is an abundant number, since it is smaller than the sum of its proper divisors (14325386880).

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

6056701440 is a wasteful number, since it uses less digits than its factorization.

6056701440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41552 (or 41536 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 33.

The square root of 6056701440 is about 77824.8124957587. The cubic root of 6056701440 is about 1822.8267308487.

Adding to 6056701440 its reverse (441076506), we get a palindrome (6497777946).

The spelling of 6056701440 in words is "six billion, fifty-six million, seven hundred one thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 19 20 24 30 32 38 40 48 57 60 64 76 80 95 96 114 120 128 152 160 190 192 228 240 256 285 304 320 380 384 456 480 512 570 608 640 760 768 912 960 1140 1216 1280 1520 1536 1824 1920 2280 2432 2560 3040 3648 3840 4560 4864 6080 7296 7680 9120 9728 12160 14592 18240 24320 29184 36480 41507 48640 72960 83014 124521 145920 166028 207535 249042 332056 415070 498084 622605 664112 788633 830140 996168 1245210 1328224 1577266 1660280 1992336 2365899 2490420 2656448 3154532 3320560 3943165 3984672 4731798 4980840 5312896 6309064 6641120 7886330 7969344 9463596 9961680 10625792 11829495 12618128 13282240 15772660 15938688 18927192 19923360 21251584 23658990 25236256 26564480 31545320 31877376 37854384 39846720 47317980 50472512 53128960 63090640 63754752 75708768 79693440 94635960 100945024 106257920 126181280 151417536 159386880 189271920 201890048 252362560 302835072 318773760 378543840 403780096 504725120 605670144 757087680 1009450240 1211340288 1514175360 2018900480 3028350720 6056701440