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2904925140 = 2233513413807
BaseRepresentation
bin1010110100100101…
…1010001111010100
321111110010111011000
42231021122033110
521422130101030
61200130343300
7131662312335
oct25511321724
97443114130
102904925140
111260833287
12690a2ab30
13373aa6720
141d7b3828c
15120063860
hexad25a3d4

2904925140 has 96 divisors (see below), whose sum is σ = 9732764160. Its totient is φ = 715056768.

The previous prime is 2904925081. The next prime is 2904925147. The reversal of 2904925140 is 415294092.

2904925140 is a `hidden beast` number, since 29 + 0 + 492 + 5 + 140 = 666.

2904925140 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×29049251403 (a number of 29 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 2904925095 and 2904925104.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2904925147) 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, 199884 + ... + 213923.

It is an arithmetic number, because the mean of its divisors is an integer number (101382960).

Almost surely, 22904925140 is an apocalyptic number.

2904925140 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2904925140 is an abundant number, since it is smaller than the sum of its proper divisors (6827839020).

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

2904925140 is a wasteful number, since it uses less digits than its factorization.

2904925140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 413838 (or 413830 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The square root of 2904925140 is about 53897.3574491366. The cubic root of 2904925140 is about 1426.8499850567.

The spelling of 2904925140 in words is "two billion, nine hundred four million, nine hundred twenty-five thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 13 15 18 20 26 27 30 36 39 45 52 54 60 65 78 90 108 117 130 135 156 180 195 234 260 270 351 390 468 540 585 702 780 1170 1404 1755 2340 3510 7020 413807 827614 1241421 1655228 2069035 2482842 3724263 4138070 4965684 5379491 6207105 7448526 8276140 10758982 11172789 12414210 14897052 16138473 18621315 21517964 22345578 24828420 26897455 32276946 37242630 44691156 48415419 53794910 55863945 64553892 74485260 80692365 96830838 107589820 111727890 145246257 161384730 193661676 223455780 242077095 290492514 322769460 484154190 580985028 726231285 968308380 1452462570 2904925140