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2930620400 = 245213952709
BaseRepresentation
bin1010111010101101…
…1011011111110000
321120020110221102022
42232223123133300
522000214323100
61202445211012
7132423601541
oct25653333760
97506427368
102930620400
111274293534
12699560a68
13379202216
141db3064c8
1512243be85
hexaeadb7f0

2930620400 has 60 divisors (see below), whose sum is σ = 7091603400. Its totient is φ = 1163792640.

The previous prime is 2930620397. The next prime is 2930620403. The reversal of 2930620400 is 40260392.

It is an interprime number because it is at equal distance from previous prime (2930620397) and next prime (2930620403).

It is a self number, because there is not a number n which added to its sum of digits gives 2930620400.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2930620403) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 29246 + ... + 81954.

It is an arithmetic number, because the mean of its divisors is an integer number (118193390).

Almost surely, 22930620400 is an apocalyptic number.

2930620400 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 2930620400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3545801700).

2930620400 is an abundant number, since it is smaller than the sum of its proper divisors (4160983000).

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

2930620400 is a wasteful number, since it uses less digits than its factorization.

2930620400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 52866 (or 52855 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 26.

The square root of 2930620400 is about 54135.2048116565. The cubic root of 2930620400 is about 1431.0446667417.

Adding to 2930620400 its reverse (40260392), we get a palindrome (2970880792).

The spelling of 2930620400 in words is "two billion, nine hundred thirty million, six hundred twenty thousand, four hundred".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 139 200 278 400 556 695 1112 1390 2224 2780 3475 5560 6950 11120 13900 27800 52709 55600 105418 210836 263545 421672 527090 843344 1054180 1317725 2108360 2635450 4216720 5270900 7326551 10541800 14653102 21083600 29306204 36632755 58612408 73265510 117224816 146531020 183163775 293062040 366327550 586124080 732655100 1465310200 2930620400