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3055661400 = 2335211242089
BaseRepresentation
bin1011011000100001…
…1011000101011000
321212221202200102110
42312020123011120
522224222131100
61223113232320
7135502456551
oct26610330530
97787680373
103055661400
111328928700
127134026a0
133990a278c
1420db75328
1512d3db250
hexb621b158

3055661400 has 144 divisors (see below), whose sum is σ = 10412224200. Its totient is φ = 740748800.

The previous prime is 3055661393. The next prime is 3055661423. The reversal of 3055661400 is 41665503.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 51556 + ... + 93644.

Almost surely, 23055661400 is an apocalyptic number.

3055661400 is a gapful number since it is divisible by the number (30) 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 3055661400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5206112100).

3055661400 is an abundant number, since it is smaller than the sum of its proper divisors (7356562800).

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

3055661400 is a wasteful number, since it uses less digits than its factorization.

3055661400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42130 (or 42110 counting only the distinct ones).

The product of its (nonzero) digits is 10800, while the sum is 30.

The square root of 3055661400 is about 55278.0372299885. The cubic root of 3055661400 is about 1451.1147036798.

The spelling of 3055661400 in words is "three billion, fifty-five million, six hundred sixty-one thousand, four hundred".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 20 22 24 25 30 33 40 44 50 55 60 66 75 88 100 110 120 121 132 150 165 200 220 242 264 275 300 330 363 440 484 550 600 605 660 726 825 968 1100 1210 1320 1452 1650 1815 2200 2420 2904 3025 3300 3630 4840 6050 6600 7260 9075 12100 14520 18150 24200 36300 42089 72600 84178 126267 168356 210445 252534 336712 420890 462979 505068 631335 841780 925958 1010136 1052225 1262670 1388937 1683560 1851916 2104450 2314895 2525340 2777874 3156675 3703832 4208900 4629790 5050680 5092769 5555748 6313350 6944685 8417800 9259580 10185538 11111496 11574475 12626700 13889370 15278307 18519160 20371076 23148950 25253400 25463845 27778740 30556614 34723425 40742152 46297900 50927690 55557480 61113228 69446850 76391535 92595800 101855380 122226456 127319225 138893700 152783070 203710760 254638450 277787400 305566140 381957675 509276900 611132280 763915350 1018553800 1527830700 3055661400