Search a number
-
+
2123465240 = 2351317892699
BaseRepresentation
bin111111010010001…
…1000001000011000
312110222200012200202
41332210120020120
513322101341430
6550413121332
7103423104521
oct17644301030
95428605622
102123465240
1199a705956
124b3189248
1327ac15610
14162037848
15c664ed45
hex7e918218

2123465240 has 128 divisors (see below), whose sum is σ = 5511240000. Its totient is φ = 729366528.

The previous prime is 2123465209. The next prime is 2123465243. The reversal of 2123465240 is 425643212.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2123465243) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 785411 + ... + 788109.

Almost surely, 22123465240 is an apocalyptic number.

2123465240 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 2123465240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2755620000).

2123465240 is an abundant number, since it is smaller than the sum of its proper divisors (3387774760).

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

2123465240 is a wasteful number, since it uses less digits than its factorization.

2123465240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2829 (or 2825 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 29.

The square root of 2123465240 is about 46081.0724701585. The cubic root of 2123465240 is about 1285.3312070488.

The spelling of 2123465240 in words is "two billion, one hundred twenty-three million, four hundred sixty-five thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 13 17 20 26 34 40 52 65 68 85 89 104 130 136 170 178 221 260 340 356 442 445 520 680 712 884 890 1105 1157 1513 1768 1780 2210 2314 2699 3026 3560 4420 4628 5398 5785 6052 7565 8840 9256 10796 11570 12104 13495 15130 19669 21592 23140 26990 30260 35087 39338 45883 46280 53980 60520 70174 78676 91766 98345 107960 140348 157352 175435 183532 196690 229415 240211 280696 350870 367064 393380 458830 480422 596479 701740 786760 917660 960844 1192958 1201055 1403480 1835320 1921688 2385916 2402110 2982395 3122743 4083587 4771832 4804220 5964790 6245486 8167174 9608440 11929580 12490972 15613715 16334348 20417935 23859160 24981944 31227430 32668696 40835870 53086631 62454860 81671740 106173262 124909720 163343480 212346524 265433155 424693048 530866310 1061732620 2123465240