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3682005420 = 2235371658561
BaseRepresentation
bin1101101101110110…
…1111000110101100
3100111121100020220010
43123131233012230
530020043133140
61405210053220
7160146346452
oct33335570654
910447306803
103682005420
11161a43a195
1286911a210
13468a93242
1426d0189d2
151683ae880
hexdb76f1ac

3682005420 has 48 divisors (see below), whose sum is σ = 10588259808. Its totient is φ = 955330560.

The previous prime is 3682005409. The next prime is 3682005487. The reversal of 3682005420 is 245002863.

It is a Harshad number since it is a multiple of its sum of digits (30).

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, 827061 + ... + 831500.

It is an arithmetic number, because the mean of its divisors is an integer number (220588746).

Almost surely, 23682005420 is an apocalyptic number.

3682005420 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3682005420 is an abundant number, since it is smaller than the sum of its proper divisors (6906254388).

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

3682005420 is a wasteful number, since it uses less digits than its factorization.

3682005420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1658610 (or 1658608 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 30.

The square root of 3682005420 is about 60679.5304859884. The cubic root of 3682005420 is about 1544.1689228544.

The spelling of 3682005420 in words is "three billion, six hundred eighty-two million, five thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 37 60 74 111 148 185 222 370 444 555 740 1110 2220 1658561 3317122 4975683 6634244 8292805 9951366 16585610 19902732 24878415 33171220 49756830 61366757 99513660 122733514 184100271 245467028 306833785 368200542 613667570 736401084 920501355 1227335140 1841002710 3682005420