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2155758960 = 2435107127661
BaseRepresentation
bin1000000001111110…
…0100010101110000
312120020102220100110
42000133210111300
513403333241320
6553525221320
7104264435355
oct20037442560
95506386313
102155758960
11a06962683
12501b61840
13284811624
1416644262c
15c93cd5e0
hex807e4570

2155758960 has 160 divisors (see below), whose sum is σ = 6808707072. Its totient is φ = 564157440.

The previous prime is 2155758949. The next prime is 2155759027. The reversal of 2155758960 is 698575512.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3261030 + ... + 3261690.

Almost surely, 22155758960 is an apocalyptic number.

2155758960 is a gapful number since it is divisible by the number (20) 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 2155758960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3404353536).

2155758960 is an abundant number, since it is smaller than the sum of its proper divisors (4652948112).

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

2155758960 is a wasteful number, since it uses less digits than its factorization.

2155758960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 911 (or 905 counting only the distinct ones).

The product of its (nonzero) digits is 756000, while the sum is 48.

The square root of 2155758960 is about 46430.1514104789. The cubic root of 2155758960 is about 1291.8142371436.

The spelling of 2155758960 in words is "two billion, one hundred fifty-five million, seven hundred fifty-eight thousand, nine hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 107 120 127 214 240 254 321 381 428 508 535 635 642 661 762 856 1016 1070 1270 1284 1322 1524 1605 1712 1905 1983 2032 2140 2540 2568 2644 3048 3210 3305 3810 3966 4280 5080 5136 5288 6096 6420 6610 7620 7932 8560 9915 10160 10576 12840 13220 13589 15240 15864 19830 25680 26440 27178 30480 31728 39660 40767 52880 54356 67945 70727 79320 81534 83947 108712 135890 141454 158640 163068 167894 203835 212181 217424 251841 271780 282908 326136 335788 353635 407670 419735 424362 503682 543560 565816 652272 671576 707270 815340 839470 848724 1007364 1060905 1087120 1131632 1259205 1343152 1414540 1630680 1678940 1697448 2014728 2121810 2518410 2829080 3261360 3357880 3394896 4029456 4243620 5036820 5658160 6715760 8487240 8982329 10073640 16974480 17964658 20147280 26946987 35929316 44911645 53893974 71858632 89823290 107787948 134734935 143717264 179646580 215575896 269469870 359293160 431151792 538939740 718586320 1077879480 2155758960