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2745345540 = 2235722933187
BaseRepresentation
bin1010001110100010…
…1010011000000100
321002022212000002110
42203220222120010
521110302024130
61132230141020
7125014023600
oct24350523004
97068760073
102745345540
111189748813
126474b1770
13349a02422
141c0878500
15111040ab0
hexa3a2a604

2745345540 has 144 divisors (see below), whose sum is σ = 8975316672. Its totient is φ = 625169664.

The previous prime is 2745345479. The next prime is 2745345557. The reversal of 2745345540 is 455435472.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 859827 + ... + 863013.

It is an arithmetic number, because the mean of its divisors is an integer number (62328588).

Almost surely, 22745345540 is an apocalyptic number.

2745345540 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 2745345540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4487658336).

2745345540 is an abundant number, since it is smaller than the sum of its proper divisors (6229971132).

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

2745345540 is a wasteful number, since it uses less digits than its factorization.

2745345540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3506 (or 3497 counting only the distinct ones).

The product of its (nonzero) digits is 336000, while the sum is 39.

The square root of 2745345540 is about 52396.0450797577. The cubic root of 2745345540 is about 1400.2287959402.

The spelling of 2745345540 in words is "two billion, seven hundred forty-five million, three hundred forty-five thousand, five hundred forty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 42 49 60 70 84 98 105 140 147 196 210 245 293 294 420 490 586 588 735 879 980 1172 1465 1470 1758 2051 2930 2940 3187 3516 4102 4395 5860 6153 6374 8204 8790 9561 10255 12306 12748 14357 15935 17580 19122 20510 22309 24612 28714 30765 31870 38244 41020 43071 44618 47805 57428 61530 63740 66927 71785 86142 89236 95610 111545 123060 133854 143570 156163 172284 191220 215355 223090 267708 287140 312326 334635 430710 446180 468489 624652 669270 780815 861420 933791 936978 1338540 1561630 1867582 1873956 2342445 2801373 3123260 3735164 4668955 4684890 5602746 6536537 9337910 9369780 11205492 13073074 14006865 18675820 19609611 26146148 28013730 32682685 39219222 45755759 56027460 65365370 78438444 91511518 98048055 130730740 137267277 183023036 196096110 228778795 274534554 392192220 457557590 549069108 686336385 915115180 1372672770 2745345540