Search a number
-
+
147014028 = 22357173141
BaseRepresentation
bin10001100001101…
…00000110001100
3101020122002100000
420300310012030
5300113422103
622331004300
73433412220
oct1060640614
9336562300
10147014028
1175a928a7
1241299690
13245c4a65
141574c780
15cd8eaa3
hex8c3418c

147014028 has 288 divisors, whose sum is σ = 493129728. Its totient is φ = 37324800.

The previous prime is 147014009. The next prime is 147014029. The reversal of 147014028 is 820410741.

It is a super-2 number, since 2×1470140282 = 43226248857569568, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 147013992 and 147014010.

It is not an unprimeable number, because it can be changed into a prime (147014029) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3585688 + ... + 3585728.

It is an arithmetic number, because the mean of its divisors is an integer number (1712256).

Almost surely, 2147014028 is an apocalyptic number.

147014028 is a gapful number since it is divisible by the number (18) 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 147014028, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (246564864).

147014028 is an abundant number, since it is smaller than the sum of its proper divisors (346115700).

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

147014028 is a wasteful number, since it uses less digits than its factorization.

147014028 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 115 (or 101 counting only the distinct ones).

The product of its (nonzero) digits is 1792, while the sum is 27.

The square root of 147014028 is about 12124.9341441511. The cubic root of 147014028 is about 527.7799961528.

Adding to 147014028 its reverse (820410741), we get a palindrome (967424769).

The spelling of 147014028 in words is "one hundred forty-seven million, fourteen thousand, twenty-eight".