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20552640 = 263579271
BaseRepresentation
bin100111001100…
…1101111000000
31102200011220220
41032121233000
520230141030
62012303040
7336460143
oct116315700
942604826
1020552640
1110668559
126a71a80
134347b34
142a3005a
151c0ea10
hex1399bc0

20552640 has 112 divisors (see below), whose sum is σ = 66324480. Its totient is φ = 5391360.

The previous prime is 20552629. The next prime is 20552647. The reversal of 20552640 is 4625502.

It is a super-2 number, since 2×205526402 = 844822021939200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 20552640.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20552647) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 75705 + ... + 75975.

Almost surely, 220552640 is an apocalyptic number.

20552640 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 20552640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33162240).

20552640 is an abundant number, since it is smaller than the sum of its proper divisors (45771840).

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

20552640 is a wasteful number, since it uses less digits than its factorization.

20552640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 370 (or 360 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 24.

The square root of 20552640 is about 4533.5019576482. The cubic root of 20552640 is about 273.9192402336.

The spelling of 20552640 in words is "twenty million, five hundred fifty-two thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 79 80 96 120 158 160 192 237 240 271 316 320 395 474 480 542 632 790 813 948 960 1084 1185 1264 1355 1580 1626 1896 2168 2370 2528 2710 3160 3252 3792 4065 4336 4740 5056 5420 6320 6504 7584 8130 8672 9480 10840 12640 13008 15168 16260 17344 18960 21409 21680 25280 26016 32520 37920 42818 43360 52032 64227 65040 75840 85636 86720 107045 128454 130080 171272 214090 256908 260160 321135 342544 428180 513816 642270 685088 856360 1027632 1284540 1370176 1712720 2055264 2569080 3425440 4110528 5138160 6850880 10276320 20552640