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144927104 = 27733301
BaseRepresentation
bin10001010001101…
…10100110000000
3101002201001121112
420220312212000
5244100131404
622214142452
73406601000
oct1050664600
9332631545
10144927104
1174897973
1240651a28
1324043baa
1415368000
15cacb56e
hex8a36980

144927104 has 64 divisors (see below), whose sum is σ = 336804000. Its totient is φ = 62092800.

The previous prime is 144927073. The next prime is 144927137. The reversal of 144927104 is 401729441.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 42254 + ... + 45554.

Almost surely, 2144927104 is an apocalyptic number.

144927104 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 144927104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168402000).

144927104 is an abundant number, since it is smaller than the sum of its proper divisors (191876896).

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

144927104 is an frugal number, since it uses more digits than its factorization.

144927104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3336 (or 3310 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 32.

The square root of 144927104 is about 12038.5673566251. The cubic root of 144927104 is about 525.2707344365.

The spelling of 144927104 in words is "one hundred forty-four million, nine hundred twenty-seven thousand, one hundred four".

Divisors: 1 2 4 7 8 14 16 28 32 49 56 64 98 112 128 196 224 343 392 448 686 784 896 1372 1568 2744 3136 3301 5488 6272 6602 10976 13204 21952 23107 26408 43904 46214 52816 92428 105632 161749 184856 211264 323498 369712 422528 646996 739424 1132243 1293992 1478848 2264486 2587984 2957696 4528972 5175968 9057944 10351936 18115888 20703872 36231776 72463552 144927104