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135767020 = 22547971489
BaseRepresentation
bin10000001011110…
…10001111101100
3100110110200100011
420011322033230
5234224021040
621245543004
73236000134
oct1005721754
9313420304
10135767020
116a700854
1239574a64
132218771c
1414061ac4
15bdbc3ea
hex817a3ec

135767020 has 48 divisors (see below), whose sum is σ = 294376320. Its totient is φ = 52568064.

The previous prime is 135767017. The next prime is 135767033. The reversal of 135767020 is 20767531.

135767020 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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, 90436 + ... + 91924.

It is an arithmetic number, because the mean of its divisors is an integer number (6132840).

Almost surely, 2135767020 is an apocalyptic number.

135767020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

135767020 is an abundant number, since it is smaller than the sum of its proper divisors (158609300).

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

135767020 is a wasteful number, since it uses less digits than its factorization.

135767020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1642 (or 1640 counting only the distinct ones).

The product of its (nonzero) digits is 8820, while the sum is 31.

The square root of 135767020 is about 11651.9105729490. The cubic root of 135767020 is about 513.9624948031.

The spelling of 135767020 in words is "one hundred thirty-five million, seven hundred sixty-seven thousand, twenty".

Divisors: 1 2 4 5 10 20 47 94 97 188 194 235 388 470 485 940 970 1489 1940 2978 4559 5956 7445 9118 14890 18236 22795 29780 45590 69983 91180 139966 144433 279932 288866 349915 577732 699830 722165 1399660 1444330 2888660 6788351 13576702 27153404 33941755 67883510 135767020