Search a number
-
+
147203936 = 2511541773
BaseRepresentation
bin10001100011000…
…10011101100000
3101020222201211122
420301202131200
5300141011221
622335031412
73435132665
oct1061423540
9336881748
10147203936
1176102550
124136b568
1324660329
141579ba6c
15cdcaeab
hex8c62760

147203936 has 48 divisors (see below), whose sum is σ = 317148048. Its totient is φ = 66700800.

The previous prime is 147203923. The next prime is 147203977. The reversal of 147203936 is 639302741.

147203936 is a modest number, since divided by 3936 gives 1472 as remainder.

It is a junction number, because it is equal to n+sod(n) for n = 147203896 and 147203905.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 190046 + ... + 190818.

It is an arithmetic number, because the mean of its divisors is an integer number (6607251).

Almost surely, 2147203936 is an apocalyptic number.

147203936 is a gapful number since it is divisible by the number (16) 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 147203936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158574024).

147203936 is an abundant number, since it is smaller than the sum of its proper divisors (169944112).

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

147203936 is a wasteful number, since it uses less digits than its factorization.

147203936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1335 (or 1327 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 35.

The square root of 147203936 is about 12132.7629169946. The cubic root of 147203936 is about 528.0071547852.

The spelling of 147203936 in words is "one hundred forty-seven million, two hundred three thousand, nine hundred thirty-six".

Divisors: 1 2 4 8 11 16 22 32 44 88 176 352 541 773 1082 1546 2164 3092 4328 5951 6184 8503 8656 11902 12368 17006 17312 23804 24736 34012 47608 68024 95216 136048 190432 272096 418193 836386 1672772 3345544 4600123 6691088 9200246 13382176 18400492 36800984 73601968 147203936