Search a number
-
+
2002912380 = 223357529871
BaseRepresentation
bin111011101100010…
…0000010001111100
312011120211111021000
41313120200101330
513100221144010
6530425210300
7100430321460
oct16730402174
95146744230
102002912380
11938656797
1247a930990
1325bc56b71
141500164a0
15bac8a7c0
hex7762047c

2002912380 has 96 divisors (see below), whose sum is σ = 7121479680. Its totient is φ = 457807680.

The previous prime is 2002912363. The next prime is 2002912403. The reversal of 2002912380 is 832192002.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

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, 261156 + ... + 268715.

It is an arithmetic number, because the mean of its divisors is an integer number (74182080).

Almost surely, 22002912380 is an apocalyptic number.

2002912380 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2002912380 is an abundant number, since it is smaller than the sum of its proper divisors (5118567300).

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

2002912380 is a wasteful number, since it uses less digits than its factorization.

2002912380 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 529896 (or 529888 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 2002912380 is about 44753.9091030046. The cubic root of 2002912380 is about 1260.5323147628.

The spelling of 2002912380 in words is "two billion, two million, nine hundred twelve thousand, three hundred eighty".

Divisors: 1 2 3 4 5 6 7 9 10 12 14 15 18 20 21 27 28 30 35 36 42 45 54 60 63 70 84 90 105 108 126 135 140 180 189 210 252 270 315 378 420 540 630 756 945 1260 1890 3780 529871 1059742 1589613 2119484 2649355 3179226 3709097 4768839 5298710 6358452 7418194 7948065 9537678 10597420 11127291 14306517 14836388 15896130 18545485 19075356 22254582 23844195 28613034 31792260 33381873 37090970 44509164 47688390 55636455 57226068 66763746 71532585 74181940 95376780 100145619 111272910 133527492 143065170 166909365 200291238 222545820 286130340 333818730 400582476 500728095 667637460 1001456190 2002912380