Search a number
-
+
621374000 = 24531323899
BaseRepresentation
bin100101000010010…
…110101000110000
31121022020001212212
4211002112220300
52233032432000
6141354111252
721253410002
oct4502265060
91538201785
10621374000
11299827535
1215411b528
139b970530
145c74c372
1539840c35
hex25096a30

621374000 has 80 divisors (see below), whose sum is σ = 1618125600. Its totient is φ = 229420800.

The previous prime is 621373979. The next prime is 621374023. The reversal of 621374000 is 473126.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×6213740002 = 772211295752000000, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 14051 + ... + 37949.

It is an arithmetic number, because the mean of its divisors is an integer number (20226570).

Almost surely, 2621374000 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 621374000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (809062800).

621374000 is an abundant number, since it is smaller than the sum of its proper divisors (996751600).

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

621374000 is a wasteful number, since it uses less digits than its factorization.

621374000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23935 (or 23919 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 23.

The square root of 621374000 is about 24927.3745107663. The cubic root of 621374000 is about 853.3313327319.

The spelling of 621374000 in words is "six hundred twenty-one million, three hundred seventy-four thousand".

Divisors: 1 2 4 5 8 10 13 16 20 25 26 40 50 52 65 80 100 104 125 130 200 208 250 260 325 400 500 520 650 1000 1040 1300 1625 2000 2600 3250 5200 6500 13000 23899 26000 47798 95596 119495 191192 238990 310687 382384 477980 597475 621374 955960 1194950 1242748 1553435 1911920 2389900 2485496 2987375 3106870 4779800 4970992 5974750 6213740 7767175 9559600 11949500 12427480 15534350 23899000 24854960 31068700 38835875 47798000 62137400 77671750 124274800 155343500 310687000 621374000