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1630122656 = 25177983457
BaseRepresentation
bin110000100101001…
…1011001010100000
311012121100210220012
41201022123022200
511314302411111
6425431104052
755252546121
oct14112331240
94177323805
101630122656
11767186308
12395b12028
131cc951826
141166d6048
159819e48b
hex6129b2a0

1630122656 has 96 divisors (see below), whose sum is σ = 3490179840. Its totient is φ = 746643456.

The previous prime is 1630122607. The next prime is 1630122661. The reversal of 1630122656 is 6562210361.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3566780 + ... + 3567236.

It is an arithmetic number, because the mean of its divisors is an integer number (36356040).

Almost surely, 21630122656 is an apocalyptic number.

1630122656 is a gapful number since it is divisible by the number (16) 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 1630122656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1745089920).

1630122656 is an abundant number, since it is smaller than the sum of its proper divisors (1860057184).

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

1630122656 is a wasteful number, since it uses less digits than its factorization.

1630122656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 646 (or 638 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 32.

The square root of 1630122656 is about 40374.7774730710. Note that the first 3 decimals coincide. The cubic root of 1630122656 is about 1176.9014406689.

The spelling of 1630122656 in words is "one billion, six hundred thirty million, one hundred twenty-two thousand, six hundred fifty-six".

Divisors: 1 2 4 8 16 17 32 34 68 79 83 136 158 166 272 316 332 457 544 632 664 914 1264 1328 1343 1411 1828 2528 2656 2686 2822 3656 5372 5644 6557 7312 7769 10744 11288 13114 14624 15538 21488 22576 26228 31076 36103 37931 42976 45152 52456 62152 72206 75862 104912 111469 124304 144412 151724 209824 222938 248608 288824 303448 445876 577648 606896 613751 644827 891752 1155296 1213792 1227502 1289654 1783504 2455004 2579308 2996549 3567008 4910008 5158616 5993098 9820016 10317232 11986196 19640032 20634464 23972392 47944784 50941333 95889568 101882666 203765332 407530664 815061328 1630122656