Search a number
-
+
18975744 = 210322971
BaseRepresentation
bin100100001100…
…0110000000000
31022201001211100
41020120300000
514324210434
61514414400
7320201604
oct110306000
938631740
1018975744
11a790837
126431400
133c15168
14273d504
1519ec699
hex1218c00

18975744 has 132 divisors (see below), whose sum is σ = 57479760. Its totient is φ = 6021120.

The previous prime is 18975731. The next prime is 18975767. The reversal of 18975744 is 44757981.

It is a happy number.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

Its product of digits (282240) is a multiple of the sum of its prime divisors (105).

It is a self number, because there is not a number n which added to its sum of digits gives 18975744.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 267229 + ... + 267299.

Almost surely, 218975744 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 18975744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28739880).

18975744 is an abundant number, since it is smaller than the sum of its proper divisors (38504016).

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

18975744 is a wasteful number, since it uses less digits than its factorization.

18975744 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 126 (or 105 counting only the distinct ones).

The product of its digits is 282240, while the sum is 45.

The square root of 18975744 is about 4356.1157009428. The cubic root of 18975744 is about 266.7265643228.

The spelling of 18975744 in words is "eighteen million, nine hundred seventy-five thousand, seven hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 29 32 36 48 58 64 71 72 87 96 116 128 142 144 174 192 213 232 256 261 284 288 348 384 426 464 512 522 568 576 639 696 768 852 928 1024 1044 1136 1152 1278 1392 1536 1704 1856 2059 2088 2272 2304 2556 2784 3072 3408 3712 4118 4176 4544 4608 5112 5568 6177 6816 7424 8236 8352 9088 9216 10224 11136 12354 13632 14848 16472 16704 18176 18531 20448 22272 24708 27264 29696 32944 33408 36352 37062 40896 44544 49416 54528 65888 66816 72704 74124 81792 89088 98832 109056 131776 133632 148248 163584 197664 218112 263552 267264 296496 327168 395328 527104 592992 654336 790656 1054208 1185984 1581312 2108416 2371968 3162624 4743936 6325248 9487872 18975744