Search a number
-
+
2754994320 = 2432513294337
BaseRepresentation
bin1010010000110101…
…1110000010010000
321010000000012201200
42210031132002100
521120234304240
61133213031200
7125162031261
oct24415360220
97100005650
102754994320
111194139011
1264a785500
1334ba00170
141c1c6a968
15111ce9930
hexa435e090

2754994320 has 120 divisors (see below), whose sum is σ = 9963929976. Its totient is φ = 678150144.

The previous prime is 2754994309. The next prime is 2754994331. The reversal of 2754994320 is 234994572.

It is an interprime number because it is at equal distance from previous prime (2754994309) and next prime (2754994331).

It can be written as a sum of positive squares in 4 ways, for example, as 28901376 + 2726092944 = 5376^2 + 52212^2 .

It is a tau number, because it is divible by the number of its divisors (120).

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 137809 + ... + 156528.

Almost surely, 22754994320 is an apocalyptic number.

2754994320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2754994320 is an abundant number, since it is smaller than the sum of its proper divisors (7208935656).

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

2754994320 is a wasteful number, since it uses less digits than its factorization.

2754994320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 294369 (or 294360 counting only the distinct ones).

The product of its (nonzero) digits is 544320, while the sum is 45.

The square root of 2754994320 is about 52488.0397805062. The cubic root of 2754994320 is about 1401.8672906525.

The spelling of 2754994320 in words is "two billion, seven hundred fifty-four million, nine hundred ninety-four thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 13 15 16 18 20 24 26 30 36 39 40 45 48 52 60 65 72 78 80 90 104 117 120 130 144 156 180 195 208 234 240 260 312 360 390 468 520 585 624 720 780 936 1040 1170 1560 1872 2340 3120 4680 9360 294337 588674 883011 1177348 1471685 1766022 2354696 2649033 2943370 3532044 3826381 4415055 4709392 5298066 5886740 7064088 7652762 8830110 10596132 11479143 11773480 13245165 14128176 15305524 17660220 19131905 21192264 22958286 23546960 26490330 30611048 34437429 35320440 38263810 42384528 45916572 52980660 57395715 61222096 68874858 70640880 76527620 91833144 105961320 114791430 137749716 153055240 172187145 183666288 211922640 229582860 275499432 306110480 344374290 459165720 550998864 688748580 918331440 1377497160 2754994320