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1361021620 = 2257292711237
BaseRepresentation
bin101000100011111…
…1000101010110100
310111212000001200011
41101013320222310
510241410142440
6343015230004
745504331030
oct12107705264
93455001604
101361021620
11639296762
1231b978304
13188c81c4a
14cca871c0
157e7459ea
hex511f8ab4

1361021620 has 96 divisors (see below), whose sum is σ = 3394298880. Its totient is φ = 448519680.

The previous prime is 1361021611. The next prime is 1361021639. The reversal of 1361021620 is 261201631.

It is a junction number, because it is equal to n+sod(n) for n = 1361021591 and 1361021600.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1099642 + ... + 1100878.

It is an arithmetic number, because the mean of its divisors is an integer number (35357280).

Almost surely, 21361021620 is an apocalyptic number.

1361021620 is a gapful number since it is divisible by the number (10) 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 1361021620, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1697149440).

1361021620 is an abundant number, since it is smaller than the sum of its proper divisors (2033277260).

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

1361021620 is a wasteful number, since it uses less digits than its factorization.

1361021620 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1553 (or 1551 counting only the distinct ones).

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

The square root of 1361021620 is about 36892.0265098029. The cubic root of 1361021620 is about 1108.2090047409.

The spelling of 1361021620 in words is "one billion, three hundred sixty-one million, twenty-one thousand, six hundred twenty".

Divisors: 1 2 4 5 7 10 14 20 28 29 35 58 70 116 140 145 203 271 290 406 542 580 812 1015 1084 1237 1355 1897 2030 2474 2710 3794 4060 4948 5420 6185 7588 7859 8659 9485 12370 15718 17318 18970 24740 31436 34636 35873 37940 39295 43295 55013 71746 78590 86590 110026 143492 157180 173180 179365 220052 251111 275065 335227 358730 502222 550130 670454 717460 1004444 1100260 1255555 1340908 1676135 2346589 2511110 3352270 4693178 5022220 6704540 9386356 9721583 11732945 19443166 23465890 38886332 46931780 48607915 68051081 97215830 136102162 194431660 272204324 340255405 680510810 1361021620