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2748605940 = 223357696619
BaseRepresentation
bin1010001111010100…
…0110010111110100
321002112222122112000
42203311012113310
521112120342230
61132424055300
7125053523253
oct24365062764
97075878460
102748605940
111190575363
12648604530
1334a5a4462
141c108679a
15111486b60
hexa3d465f4

2748605940 has 96 divisors (see below), whose sum is σ = 8563632000. Its totient is φ = 731897856.

The previous prime is 2748605933. The next prime is 2748605941. The reversal of 2748605940 is 495068472.

It is a happy number.

It is a super-2 number, since 2×27486059402 = 15109669226806567200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2748605941) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 411951 + ... + 418569.

It is an arithmetic number, because the mean of its divisors is an integer number (89204500).

Almost surely, 22748605940 is an apocalyptic number.

2748605940 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 2748605940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4281816000).

2748605940 is an abundant number, since it is smaller than the sum of its proper divisors (5815026060).

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

2748605940 is a wasteful number, since it uses less digits than its factorization.

2748605940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7406 (or 7398 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The square root of 2748605940 is about 52427.1488829976. The cubic root of 2748605940 is about 1400.7828852553.

The spelling of 2748605940 in words is "two billion, seven hundred forty-eight million, six hundred five thousand, nine hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 90 108 135 180 270 540 769 1538 2307 3076 3845 4614 6619 6921 7690 9228 11535 13238 13842 15380 19857 20763 23070 26476 27684 33095 34605 39714 41526 46140 59571 66190 69210 79428 83052 99285 103815 119142 132380 138420 178713 198570 207630 238284 297855 357426 397140 415260 595710 714852 893565 1191420 1787130 3574260 5090011 10180022 15270033 20360044 25450055 30540066 45810099 50900110 61080132 76350165 91620198 101800220 137430297 152700330 183240396 229050495 274860594 305400660 458100990 549721188 687151485 916201980 1374302970 2748605940