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2630020140 = 223251112710459
BaseRepresentation
bin1001110011000010…
…1110110000101100
320210021211212101100
42130300232300230
520341241121030
61112550243100
7122113542126
oct23460566054
96707755340
102630020140
11112a63a070
12614956490
1332bb54147
141ad418216
15105d60360
hex9cc2ec2c

2630020140 has 144 divisors (see below), whose sum is σ = 8772341760. Its totient is φ = 632499840.

The previous prime is 2630020117. The next prime is 2630020163. The reversal of 2630020140 is 410200362.

It is a happy number.

2630020140 is a `hidden beast` number, since 2 + 630 + 0 + 20 + 14 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (2630020117) and next prime (2630020163).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 246231 + ... + 256689.

It is an arithmetic number, because the mean of its divisors is an integer number (60919040).

Almost surely, 22630020140 is an apocalyptic number.

2630020140 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 2630020140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4386170880).

2630020140 is an abundant number, since it is smaller than the sum of its proper divisors (6142321620).

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

2630020140 is a wasteful number, since it uses less digits than its factorization.

2630020140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10612 (or 10607 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 2630020140 is about 51283.7219788112. The cubic root of 2630020140 is about 1380.3409050663.

The spelling of 2630020140 in words is "two billion, six hundred thirty million, twenty thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 9 10 11 12 15 18 20 22 30 33 36 44 45 55 60 66 90 99 110 127 132 165 180 198 220 254 330 381 396 495 508 635 660 762 990 1143 1270 1397 1524 1905 1980 2286 2540 2794 3810 4191 4572 5588 5715 6985 7620 8382 10459 11430 12573 13970 16764 20918 20955 22860 25146 27940 31377 41836 41910 50292 52295 62754 62865 83820 94131 104590 115049 125508 125730 156885 188262 209180 230098 251460 313770 345147 376524 460196 470655 575245 627540 690294 941310 1035441 1150490 1328293 1380588 1725735 1882620 2070882 2300980 2656586 3451470 3984879 4141764 5177205 5313172 6641465 6902940 7969758 10354410 11954637 13282930 14611223 15939516 19924395 20708820 23909274 26565860 29222446 39848790 43833669 47818548 58444892 59773185 73056115 79697580 87667338 119546370 131501007 146112230 175334676 219168345 239092740 263002014 292224460 438336690 526004028 657505035 876673380 1315010070 2630020140