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20601540 = 22385157
BaseRepresentation
bin100111010010…
…1101011000100
31102202200000000
41032211223010
520233222130
62013321300
7340052541
oct116455304
942680000
1020601540
11106a1273
126a96230
13436417b
142a43bc8
151c1e260
hex13a5ac4

20601540 has 108 divisors (see below), whose sum is σ = 65304876. Its totient is φ = 5458752.

The previous prime is 20601533. The next prime is 20601547. The reversal of 20601540 is 4510602.

It is a happy number.

20601540 is a `hidden beast` number, since 20 + 601 + 5 + 40 = 666.

It is an interprime number because it is at equal distance from previous prime (20601533) and next prime (20601547).

It can be written as a sum of positive squares in 2 ways, for example, as 6718464 + 13883076 = 2592^2 + 3726^2 .

It is a tau number, because it is divible by the number of its divisors (108).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (20601547) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 131142 + ... + 131298.

Almost surely, 220601540 is an apocalyptic number.

20601540 is a gapful number since it is divisible by the number (20) 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 20601540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32652438).

20601540 is an abundant number, since it is smaller than the sum of its proper divisors (44703336).

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

20601540 is an equidigital number, since it uses as much as digits as its factorization.

20601540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 190 (or 167 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 20601540 is about 4538.8919352635. The cubic root of 20601540 is about 274.1363095373.

It can be divided in two parts, 2060 and 1540, that added together give a square (3600 = 602).

The spelling of 20601540 in words is "twenty million, six hundred one thousand, five hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 81 90 108 135 157 162 180 243 270 314 324 405 471 486 540 628 729 785 810 942 972 1215 1413 1458 1570 1620 1884 2187 2355 2430 2826 2916 3140 3645 4239 4374 4710 4860 5652 6561 7065 7290 8478 8748 9420 10935 12717 13122 14130 14580 16956 21195 21870 25434 26244 28260 32805 38151 42390 43740 50868 63585 65610 76302 84780 114453 127170 131220 152604 190755 228906 254340 343359 381510 457812 572265 686718 763020 1030077 1144530 1373436 1716795 2060154 2289060 3433590 4120308 5150385 6867180 10300770 20601540