Search a number
-
+
1672704 = 2933112
BaseRepresentation
bin110011000011000000000
310010222112000
412120120000
5412011304
655504000
720134455
oct6303000
93128460
101672704
11a42800
12688000
13467487
1431782c
15230939
hex198600

1672704 has 120 divisors (see below), whose sum is σ = 5442360. Its totient is φ = 506880.

The previous prime is 1672663. The next prime is 1672747. The reversal of 1672704 is 4072761.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an Ulam number.

It is a zygodrome in base 2.

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, 152059 + ... + 152069.

It is an arithmetic number, because the mean of its divisors is an integer number (45353).

21672704 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 1672704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2721180).

1672704 is an abundant number, since it is smaller than the sum of its proper divisors (3769656).

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

1672704 is an equidigital number, since it uses as much as digits as its factorization.

1672704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 49 (or 16 counting only the distinct ones).

The product of its (nonzero) digits is 2352, while the sum is 27.

The square root of 1672704 is about 1293.3305841895. The cubic root of 1672704 is about 118.7060986380.

The spelling of 1672704 in words is "one million, six hundred seventy-two thousand, seven hundred four".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 27 32 33 36 44 48 54 64 66 72 88 96 99 108 121 128 132 144 176 192 198 216 242 256 264 288 297 352 363 384 396 432 484 512 528 576 594 704 726 768 792 864 968 1056 1089 1152 1188 1408 1452 1536 1584 1728 1936 2112 2178 2304 2376 2816 2904 3168 3267 3456 3872 4224 4356 4608 4752 5632 5808 6336 6534 6912 7744 8448 8712 9504 11616 12672 13068 13824 15488 16896 17424 19008 23232 25344 26136 30976 34848 38016 46464 50688 52272 61952 69696 76032 92928 104544 139392 152064 185856 209088 278784 418176 557568 836352 1672704