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147424 = 2517271
BaseRepresentation
bin100011111111100000
321111020011
4203333200
514204144
63054304
71152544
oct437740
9244204
10147424
11a0842
1271394
1352144
143ba24
152da34
hex23fe0

147424 has 24 divisors (see below), whose sum is σ = 308448. Its totient is φ = 69120.

The previous prime is 147419. The next prime is 147449. The reversal of 147424 is 424741.

147424 = T312 + T313 + T314.

It is a junction number, because it is equal to n+sod(n) for n = 147395 and 147404.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 409 + ... + 679.

It is an arithmetic number, because the mean of its divisors is an integer number (12852).

2147424 is an apocalyptic number.

147424 is the 314-th centered triangular number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 147424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154224).

147424 is an abundant number, since it is smaller than the sum of its proper divisors (161024).

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

147424 is a wasteful number, since it uses less digits than its factorization.

147424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 298 (or 290 counting only the distinct ones).

The product of its digits is 896, while the sum is 22.

The square root of 147424 is about 383.9583310725. The cubic root of 147424 is about 52.8270140308.

The spelling of 147424 in words is "one hundred forty-seven thousand, four hundred twenty-four", and thus it is an iban number.

Divisors: 1 2 4 8 16 17 32 34 68 136 271 272 542 544 1084 2168 4336 4607 8672 9214 18428 36856 73712 147424