Search a number
-
+
2914628920 = 235717612317
BaseRepresentation
bin1010110110111001…
…1011010100111000
321112010101111020021
42231232123110320
521432121111140
61201114340224
7132140636260
oct25556332470
97463344207
102914628920
111266260935
1269412a674
13375ac34c8
141d91427a0
15120d2db4a
hexadb9b538

2914628920 has 64 divisors (see below), whose sum is σ = 7935641280. Its totient is φ = 940517376.

The previous prime is 2914628911. The next prime is 2914628933. The reversal of 2914628920 is 298264192.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 301399 + ... + 310918.

It is an arithmetic number, because the mean of its divisors is an integer number (123994395).

Almost surely, 22914628920 is an apocalyptic number.

2914628920 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2914628920 is an abundant number, since it is smaller than the sum of its proper divisors (5021012360).

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

2914628920 is a wasteful number, since it uses less digits than its factorization.

2914628920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 612352 (or 612348 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 43.

The square root of 2914628920 is about 53987.3033221701. The cubic root of 2914628920 is about 1428.4369966643.

The spelling of 2914628920 in words is "two billion, nine hundred fourteen million, six hundred twenty-eight thousand, nine hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 17 20 28 34 35 40 56 68 70 85 119 136 140 170 238 280 340 476 595 680 952 1190 2380 4760 612317 1224634 2449268 3061585 4286219 4898536 6123170 8572438 10409389 12246340 17144876 20818778 21431095 24492680 34289752 41637556 42862190 52046945 72865723 83275112 85724380 104093890 145731446 171448760 208187780 291462892 364328615 416375560 582925784 728657230 1457314460 2914628920