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612940000 = 2554191613
BaseRepresentation
bin100100100010001…
…011100011100000
31120201100120121111
4210202023203200
52223403040000
6140453233104
721121622041
oct4442134340
91521316544
10612940000
11294a96992
12151332794
1399ca96ba
145b5948c8
1538c26cba
hex2488b8e0

612940000 has 120 divisors (see below), whose sum is σ = 1588272840. Its totient is φ = 232128000.

The previous prime is 612939991. The next prime is 612940001. The reversal of 612940000 is 49216.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (612940001) by changing a digit.

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 19 ways as a sum of consecutive naturals, for example, 379194 + ... + 380806.

It is an arithmetic number, because the mean of its divisors is an integer number (13235607).

Almost surely, 2612940000 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 612940000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (794136420).

612940000 is an abundant number, since it is smaller than the sum of its proper divisors (975332840).

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

612940000 is a wasteful number, since it uses less digits than its factorization.

612940000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1662 (or 1639 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 22.

The square root of 612940000 is about 24757.6250880411. The cubic root of 612940000 is about 849.4529351787.

Adding to 612940000 its reverse (49216), we get a palindrome (612989216).

The spelling of 612940000 in words is "six hundred twelve million, nine hundred forty thousand".

Divisors: 1 2 4 5 8 10 16 19 20 25 32 38 40 50 76 80 95 100 125 152 160 190 200 250 304 380 400 475 500 608 625 760 800 950 1000 1250 1520 1613 1900 2000 2375 2500 3040 3226 3800 4000 4750 5000 6452 7600 8065 9500 10000 11875 12904 15200 16130 19000 20000 23750 25808 30647 32260 38000 40325 47500 51616 61294 64520 76000 80650 95000 122588 129040 153235 161300 190000 201625 245176 258080 306470 322600 380000 403250 490352 612940 645200 766175 806500 980704 1008125 1225880 1290400 1532350 1613000 2016250 2451760 3064700 3226000 3830875 4032500 4903520 6129400 6452000 7661750 8065000 12258800 15323500 16130000 19154375 24517600 30647000 32260000 38308750 61294000 76617500 122588000 153235000 306470000 612940000