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146944 = 29741
BaseRepresentation
bin100011111000000000
321110120101
4203320000
514200234
63052144
71151260
oct437000
9243511
10146944
11a0446
1271054
1351b65
143b7a0
152d814
hex23e00

146944 has 40 divisors (see below), whose sum is σ = 343728. Its totient is φ = 61440.

The previous prime is 146941. The next prime is 146953. The reversal of 146944 is 449641.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (146941) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 3564 + ... + 3604.

2146944 is an apocalyptic number.

146944 is a gapful number since it is divisible by the number (14) 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 146944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (171864).

146944 is an abundant number, since it is smaller than the sum of its proper divisors (196784).

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

146944 is an frugal number, since it uses more digits than its factorization.

146944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 66 (or 50 counting only the distinct ones).

The product of its digits is 3456, while the sum is 28.

The square root of 146944 is about 383.3327536228. The cubic root of 146944 is about 52.7696182728.

The spelling of 146944 in words is "one hundred forty-six thousand, nine hundred forty-four".

Divisors: 1 2 4 7 8 14 16 28 32 41 56 64 82 112 128 164 224 256 287 328 448 512 574 656 896 1148 1312 1792 2296 2624 3584 4592 5248 9184 10496 18368 20992 36736 73472 146944