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5198700 = 22352133143
BaseRepresentation
bin10011110101001101101100
3100210010021110
4103311031230
52312324300
6303232020
762121363
oct23651554
910703243
105198700
112a30951
1218a8610
131100370
149947da
156ca550
hex4f536c

5198700 has 144 divisors (see below), whose sum is σ = 17110016. Its totient is φ = 1209600.

The previous prime is 5198693. The next prime is 5198729. The reversal of 5198700 is 78915.

5198700 is a nontrivial binomial coefficient, being equal to C(3225, 2).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an Ulam number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 120879 + ... + 120921.

Almost surely, 25198700 is an apocalyptic number.

5198700 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

5198700 is the 3224-th triangular number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5198700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8555008).

5198700 is an abundant number, since it is smaller than the sum of its proper divisors (11911316).

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

5198700 is a wasteful number, since it uses less digits than its factorization.

5198700 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 104 (or 97 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 30.

The square root of 5198700 is about 2280.0657885245. The cubic root of 5198700 is about 173.2333825465.

The spelling of 5198700 in words is "five million, one hundred ninety-eight thousand, seven hundred".

Divisors: 1 2 3 4 5 6 10 12 13 15 20 25 26 30 31 39 43 50 52 60 62 65 75 78 86 93 100 124 129 130 150 155 156 172 186 195 215 258 260 300 310 325 372 390 403 430 465 516 559 620 645 650 775 780 806 860 930 975 1075 1118 1209 1290 1300 1333 1550 1612 1677 1860 1950 2015 2150 2236 2325 2418 2580 2666 2795 3100 3225 3354 3900 3999 4030 4300 4650 4836 5332 5590 6045 6450 6665 6708 7998 8060 8385 9300 10075 11180 12090 12900 13330 13975 15996 16770 17329 19995 20150 24180 26660 27950 30225 33325 33540 34658 39990 40300 41925 51987 55900 60450 66650 69316 79980 83850 86645 99975 103974 120900 133300 167700 173290 199950 207948 259935 346580 399900 433225 519870 866450 1039740 1299675 1732900 2599350 5198700