Search a number
-
+
16974100 = 225211131187
BaseRepresentation
bin100000011000…
…0000100010100
31011221101002101
41000300010110
513321132400
61403451444
7264164113
oct100600424
934841071
1016974100
119643990
125826b84
133694060
14237bc7a
15175456a
hex1030114

16974100 has 72 divisors (see below), whose sum is σ = 43309728. Its totient is φ = 5692800.

The previous prime is 16974071. The next prime is 16974107. The reversal of 16974100 is 147961.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (16974107) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 13707 + ... + 14893.

It is an arithmetic number, because the mean of its divisors is an integer number (601524).

Almost surely, 216974100 is an apocalyptic number.

16974100 is a gapful number since it is divisible by the number (10) 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 16974100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21654864).

16974100 is an abundant number, since it is smaller than the sum of its proper divisors (26335628).

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

16974100 is a wasteful number, since it uses less digits than its factorization.

16974100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1225 (or 1218 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 28.

The square root of 16974100 is about 4119.9635920721. The cubic root of 16974100 is about 256.9975119241.

The spelling of 16974100 in words is "sixteen million, nine hundred seventy-four thousand, one hundred".

Divisors: 1 2 4 5 10 11 13 20 22 25 26 44 50 52 55 65 100 110 130 143 220 260 275 286 325 550 572 650 715 1100 1187 1300 1430 2374 2860 3575 4748 5935 7150 11870 13057 14300 15431 23740 26114 29675 30862 52228 59350 61724 65285 77155 118700 130570 154310 169741 261140 308620 326425 339482 385775 652850 678964 771550 848705 1305700 1543100 1697410 3394820 4243525 8487050 16974100