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1561923540 = 2233513920809
BaseRepresentation
bin101110100011001…
…0000111111010100
311000212000221022000
41131012100333110
511144323023130
6414553235300
753464062642
oct13506207724
94025027260
101561923540
11731735301
12377102b30
131bb793918
1410b622192
15921cc260
hex5d190fd4

1561923540 has 96 divisors (see below), whose sum is σ = 4894512000. Its totient is φ = 413496576.

The previous prime is 1561923509. The next prime is 1561923541. The reversal of 1561923540 is 453291651.

1561923540 is a `hidden beast` number, since 1 + 5 + 619 + 2 + 35 + 4 + 0 = 666.

It is a super-2 number, since 2×15619235402 = 4879210289612263200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 1561923495 and 1561923504.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1561923541) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 64656 + ... + 85464.

It is an arithmetic number, because the mean of its divisors is an integer number (50984500).

Almost surely, 21561923540 is an apocalyptic number.

1561923540 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 1561923540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2447256000).

1561923540 is an abundant number, since it is smaller than the sum of its proper divisors (3332588460).

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

1561923540 is a wasteful number, since it uses less digits than its factorization.

1561923540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20966 (or 20958 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 36.

The square root of 1561923540 is about 39521.1783731204. The cubic root of 1561923540 is about 1160.2544873676.

The spelling of 1561923540 in words is "one billion, five hundred sixty-one million, nine hundred twenty-three thousand, five hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 90 108 135 139 180 270 278 417 540 556 695 834 1251 1390 1668 2085 2502 2780 3753 4170 5004 6255 7506 8340 12510 15012 18765 20809 25020 37530 41618 62427 75060 83236 104045 124854 187281 208090 249708 312135 374562 416180 561843 624270 749124 936405 1123686 1248540 1872810 2247372 2809215 2892451 3745620 5618430 5784902 8677353 11236860 11569804 14462255 17354706 26032059 28924510 34709412 43386765 52064118 57849020 78096177 86773530 104128236 130160295 156192354 173547060 260320590 312384708 390480885 520641180 780961770 1561923540