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6055680 = 28351983
BaseRepresentation
bin10111000110011100000000
3102101122211110
4113012130000
53022240210
6333443320
7102321021
oct27063400
912348743
106055680
1134667a4
122040540
131340457
14b38c48
157e9420
hex5c6700

6055680 has 144 divisors (see below), whose sum is σ = 20603520. Its totient is φ = 1511424.

The previous prime is 6055669. The next prime is 6055681. The reversal of 6055680 is 865506.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6055681) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 72919 + ... + 73001.

It is an arithmetic number, because the mean of its divisors is an integer number (143080).

Almost surely, 26055680 is an apocalyptic number.

6055680 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 6055680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10301760).

6055680 is an abundant number, since it is smaller than the sum of its proper divisors (14547840).

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

6055680 is a wasteful number, since it uses less digits than its factorization.

6055680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 126 (or 112 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 30.

The square root of 6055680 is about 2460.8291285662. The cubic root of 6055680 is about 182.2724254122.

The spelling of 6055680 in words is "six million, fifty-five thousand, six hundred eighty".

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 83 95 96 114 120 128 152 160 166 190 192 228 240 249 256 285 304 320 332 380 384 415 456 480 498 570 608 640 664 760 768 830 912 960 996 1140 1216 1245 1280 1328 1520 1577 1660 1824 1920 1992 2280 2432 2490 2656 3040 3154 3320 3648 3840 3984 4560 4731 4864 4980 5312 6080 6308 6640 7296 7885 7968 9120 9462 9960 10624 12160 12616 13280 14592 15770 15936 18240 18924 19920 21248 23655 24320 25232 26560 31540 31872 36480 37848 39840 47310 50464 53120 63080 63744 72960 75696 79680 94620 100928 106240 126160 151392 159360 189240 201856 252320 302784 318720 378480 403712 504640 605568 756960 1009280 1211136 1513920 2018560 3027840 6055680