Search a number
-
+
2614534140 = 22351918112671
BaseRepresentation
bin1001101111010110…
…1001111111111100
320202012201002120210
42123311221333330
520323310043030
61111234312420
7121535113341
oct23365517774
96665632523
102614534140
111121922219
1260b728710
1332889152a
141ab3467c8
15104801bb0
hex9bd69ffc

2614534140 has 96 divisors (see below), whose sum is σ = 7749181440. Its totient is φ = 656812800.

The previous prime is 2614534129. The next prime is 2614534163. The reversal of 2614534140 is 414354162.

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 = 2614534098 and 2614534107.

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, 200005 + ... + 212675.

It is an arithmetic number, because the mean of its divisors is an integer number (80720640).

Almost surely, 22614534140 is an apocalyptic number.

2614534140 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 2614534140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3874590720).

2614534140 is an abundant number, since it is smaller than the sum of its proper divisors (5134647300).

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

2614534140 is a wasteful number, since it uses less digits than its factorization.

2614534140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12883 (or 12881 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 30.

The square root of 2614534140 is about 51132.5154867233. The cubic root of 2614534140 is about 1377.6263438363.

The spelling of 2614534140 in words is "two billion, six hundred fourteen million, five hundred thirty-four thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 19 20 30 38 57 60 76 95 114 181 190 228 285 362 380 543 570 724 905 1086 1140 1810 2172 2715 3439 3620 5430 6878 10317 10860 12671 13756 17195 20634 25342 34390 38013 41268 50684 51585 63355 68780 76026 103170 126710 152052 190065 206340 240749 253420 380130 481498 722247 760260 962996 1203745 1444494 2293451 2407490 2888988 3611235 4586902 4814980 6880353 7222470 9173804 11467255 13760706 14444940 22934510 27521412 34401765 43575569 45869020 68803530 87151138 130726707 137607060 174302276 217877845 261453414 435755690 522906828 653633535 871511380 1307267070 2614534140