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2132027940 = 223575099973
BaseRepresentation
bin111111100010100…
…0010101000100100
312111120210020111210
41333011002220210
513331244343230
6551320431420
7103555636620
oct17705025044
95446706453
102132027940
119a4524169
124b6018570
1327c922bc3
14163226180
15c7291eb0
hex7f142a24

2132027940 has 96 divisors (see below), whose sum is σ = 6836578560. Its totient is φ = 486314496.

The previous prime is 2132027927. The next prime is 2132027951. The reversal of 2132027940 is 497202312.

2132027940 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

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

It is a junction number, because it is equal to n+sod(n) for n = 2132027898 and 2132027907.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 208794 + ... + 218766.

It is an arithmetic number, because the mean of its divisors is an integer number (71214360).

Almost surely, 22132027940 is an apocalyptic number.

2132027940 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 2132027940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3418289280).

2132027940 is an abundant number, since it is smaller than the sum of its proper divisors (4704550620).

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

2132027940 is a wasteful number, since it uses less digits than its factorization.

2132027940 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10501 (or 10499 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 30.

The square root of 2132027940 is about 46173.8880754047. Note that the first 3 decimals coincide. The cubic root of 2132027940 is about 1287.0565543569.

The spelling of 2132027940 in words is "two billion, one hundred thirty-two million, twenty-seven thousand, nine hundred forty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 42 60 70 84 105 140 210 420 509 1018 1527 2036 2545 3054 3563 5090 6108 7126 7635 9973 10180 10689 14252 15270 17815 19946 21378 29919 30540 35630 39892 42756 49865 53445 59838 69811 71260 99730 106890 119676 139622 149595 199460 209433 213780 279244 299190 349055 418866 598380 698110 837732 1047165 1396220 2094330 4188660 5076257 10152514 15228771 20305028 25381285 30457542 35533799 50762570 60915084 71067598 76143855 101525140 106601397 142135196 152287710 177668995 213202794 304575420 355337990 426405588 533006985 710675980 1066013970 2132027940