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2753055540 = 223451989443
BaseRepresentation
bin1010010000011000…
…0100101100110100
321002212100201020000
42210012010230310
521114240234130
61133103311300
7125136404664
oct24406045464
97085321200
102753055540
111193034414
12649bab530
1334b4a1861
141c18c41a4
15111a65260
hexa4184b34

2753055540 has 120 divisors (see below), whose sum is σ = 9091088160. Its totient is φ = 695500992.

The previous prime is 2753055517. The next prime is 2753055551. The reversal of 2753055540 is 455503572.

2753055540 is a `hidden beast` number, since 2 + 75 + 30 + 5 + 554 + 0 = 666.

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 = 2753055495 and 2753055504.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 13942 + ... + 75501.

It is an arithmetic number, because the mean of its divisors is an integer number (75759068).

Almost surely, 22753055540 is an apocalyptic number.

2753055540 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 2753055540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4545544080).

2753055540 is an abundant number, since it is smaller than the sum of its proper divisors (6338032620).

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

2753055540 is a wasteful number, since it uses less digits than its factorization.

2753055540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 89483 (or 89472 counting only the distinct ones).

The product of its (nonzero) digits is 105000, while the sum is 36.

The square root of 2753055540 is about 52469.5677512213. The cubic root of 2753055540 is about 1401.5383667951.

The spelling of 2753055540 in words is "two billion, seven hundred fifty-three million, fifty-five thousand, five hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 19 20 27 30 36 38 45 54 57 60 76 81 90 95 108 114 135 162 171 180 190 228 270 285 324 342 380 405 513 540 570 684 810 855 1026 1140 1539 1620 1710 2052 2565 3078 3420 5130 6156 7695 10260 15390 30780 89443 178886 268329 357772 447215 536658 804987 894430 1073316 1341645 1609974 1699417 1788860 2414961 2683290 3219948 3398834 4024935 4829922 5098251 5366580 6797668 7244883 8049870 8497085 9659844 10196502 12074805 14489766 15294753 16099740 16994170 20393004 24149610 25491255 28979532 30589506 33988340 36224415 45884259 48299220 50982510 61179012 72448830 76473765 91768518 101965020 137652777 144897660 152947530 183537036 229421295 275305554 305895060 458842590 550611108 688263885 917685180 1376527770 2753055540