Search a number
-
+
146986947 = 3317431743
BaseRepresentation
bin10001100001011…
…01011111000011
3101020120201012000
420300231133003
5300112040242
622330235043
73433240242
oct1060553703
9336521160
10146986947
1175a74518
1241285a83
13245b5633
1415742959
15cd86a4c
hex8c2d7c3

146986947 has 32 divisors (see below), whose sum is σ = 231413760. Its totient is φ = 91889280.

The previous prime is 146986909. The next prime is 146986949. The reversal of 146986947 is 749689641.

146986947 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 146986947 - 211 = 146984899 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 146986893 and 146986902.

It is not an unprimeable number, because it can be changed into a prime (146986949) 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, 197458 + ... + 198200.

It is an arithmetic number, because the mean of its divisors is an integer number (7231680).

Almost surely, 2146986947 is an apocalyptic number.

146986947 is a gapful number since it is divisible by the number (17) formed by its first and last digit.

146986947 is a deficient number, since it is larger than the sum of its proper divisors (84426813).

146986947 is a wasteful number, since it uses less digits than its factorization.

146986947 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1200 (or 1194 counting only the distinct ones).

The product of its digits is 2612736, while the sum is 54.

The square root of 146986947 is about 12123.8173443846. The cubic root of 146986947 is about 527.7475872551.

The spelling of 146986947 in words is "one hundred forty-six million, nine hundred eighty-six thousand, nine hundred forty-seven".

Divisors: 1 3 9 17 27 51 153 431 459 743 1293 2229 3879 6687 7327 11637 12631 20061 21981 37893 65943 113679 197829 320233 341037 960699 2882097 5443961 8646291 16331883 48995649 146986947