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612642090 = 235174183353
BaseRepresentation
bin100100100001000…
…010110100101010
31120200210102221210
4210201002310222
52223314021330
6140443013550
721116241354
oct4441026452
91520712853
10612642090
11294903085
1215120a2b6
1399c03c18
145b5180d4
1538bb88b0
hex24842d2a

612642090 has 128 divisors (see below), whose sum is σ = 1618589952. Its totient is φ = 147783680.

The previous prime is 612642059. The next prime is 612642109. The reversal of 612642090 is 90246216.

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

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 63 ways as a sum of consecutive naturals, for example, 1735354 + ... + 1735706.

It is an arithmetic number, because the mean of its divisors is an integer number (12645234).

Almost surely, 2612642090 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 612642090, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (809294976).

612642090 is an abundant number, since it is smaller than the sum of its proper divisors (1005947862).

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

612642090 is a wasteful number, since it uses less digits than its factorization.

612642090 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 504.

The product of its (nonzero) digits is 5184, while the sum is 30.

The square root of 612642090 is about 24751.6078265635. The cubic root of 612642090 is about 849.3152917260.

The spelling of 612642090 in words is "six hundred twelve million, six hundred forty-two thousand, ninety".

Divisors: 1 2 3 5 6 10 15 17 30 34 41 51 82 83 85 102 123 166 170 205 246 249 255 353 410 415 498 510 615 697 706 830 1059 1230 1245 1394 1411 1765 2091 2118 2490 2822 3403 3485 3530 4182 4233 5295 6001 6806 6970 7055 8466 10209 10455 10590 12002 14110 14473 17015 18003 20418 20910 21165 28946 29299 30005 34030 36006 42330 43419 51045 57851 58598 60010 72365 86838 87897 90015 102090 115702 144730 146495 173553 175794 180030 217095 246041 289255 292990 347106 434190 439485 492082 498083 578510 738123 867765 878970 996166 1201259 1230205 1476246 1494249 1735530 2402518 2460410 2490415 2988498 3603777 3690615 4980830 6006295 7207554 7381230 7471245 12012590 14942490 18018885 20421403 36037770 40842806 61264209 102107015 122528418 204214030 306321045 612642090