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3620428900 = 22521125472
BaseRepresentation
bin1101011111001011…
…0101110001100100
3100100022110211210021
43113302311301210
524403312211100
61355130204524
7155501065204
oct32762656144
910308424707
103620428900
111598701900
12850583744
134590b382a
14264b8a404
15162c99a1a
hexd7cb5c64

3620428900 has 81 divisors (see below), whose sum is σ = 8651286777. Its totient is φ = 1314112800.

The previous prime is 3620428897. The next prime is 3620428921. The reversal of 3620428900 is 98240263.

The square root of 3620428900 is 60170.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 1303354404 + 2317074496 = 36102^2 + 48136^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 6618427 + ... + 6618973.

Almost surely, 23620428900 is an apocalyptic number.

3620428900 is the 60170-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3620428900

3620428900 is an abundant number, since it is smaller than the sum of its proper divisors (5030857877).

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

3620428900 is a wasteful number, since it uses less digits than its factorization.

3620428900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1130 (or 565 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 34.

The cubic root of 3620428900 is about 1535.5124461922.

Multiplying 3620428900 by its product of nonzero digits (20736), we get a square (75073213670400 = 86644802).

The spelling of 3620428900 in words is "three billion, six hundred twenty million, four hundred twenty-eight thousand, nine hundred".

Divisors: 1 2 4 5 10 11 20 22 25 44 50 55 100 110 121 220 242 275 484 547 550 605 1094 1100 1210 2188 2420 2735 3025 5470 6017 6050 10940 12034 12100 13675 24068 27350 30085 54700 60170 66187 120340 132374 150425 264748 299209 300850 330935 598418 601700 661870 1196836 1323740 1496045 1654675 2992090 3291299 3309350 5984180 6582598 6618700 7480225 13165196 14960450 16456495 29920900 32912990 36204289 65825980 72408578 82282475 144817156 164564950 181021445 329129900 362042890 724085780 905107225 1810214450 3620428900