Search a number
-
+
4960926540 = 2233518015101
BaseRepresentation
bin1001001111011000…
…11011101101001100
3110210201212011212000
410213230123231030
540124444122130
62140133512300
7233636115453
oct44754335514
913721764760
104960926540
11211634a599
12b654a2690
13610a2a9bb
14350c0db9a
151e07d9260
hex127b1bb4c

4960926540 has 96 divisors (see below), whose sum is σ = 15445590720. Its totient is φ = 1321920000.

The previous prime is 4960926533. The next prime is 4960926547. The reversal of 4960926540 is 456290694.

4960926540 is a `hidden beast` number, since 49 + 60 + 9 + 2 + 6 + 540 = 666.

It is an interprime number because it is at equal distance from previous prime (4960926533) and next prime (4960926547).

It is a super-2 number, since 2×49609265402 = 49221584270552743200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (4960926547) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 969990 + ... + 975090.

It is an arithmetic number, because the mean of its divisors is an integer number (160891570).

Almost surely, 24960926540 is an apocalyptic number.

It is an amenable number.

4960926540 is an abundant number, since it is smaller than the sum of its proper divisors (10484664180).

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

4960926540 is a wasteful number, since it uses less digits than its factorization.

4960926540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6920 (or 6912 counting only the distinct ones).

The product of its (nonzero) digits is 466560, while the sum is 45.

The square root of 4960926540 is about 70433.8451314423. The cubic root of 4960926540 is about 1705.5099812298.

The spelling of 4960926540 in words is "four billion, nine hundred sixty million, nine hundred twenty-six thousand, five hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 90 108 135 180 270 540 1801 3602 5101 5403 7204 9005 10202 10806 15303 16209 18010 20404 21612 25505 27015 30606 32418 36020 45909 48627 51010 54030 61212 64836 76515 81045 91818 97254 102020 108060 137727 153030 162090 183636 194508 229545 243135 275454 306060 324180 459090 486270 550908 688635 918180 972540 1377270 2754540 9186901 18373802 27560703 36747604 45934505 55121406 82682109 91869010 110242812 137803515 165364218 183738020 248046327 275607030 330728436 413410545 496092654 551214060 826821090 992185308 1240231635 1653642180 2480463270 4960926540