Search a number
-
+
2420921250 = 23354116521
BaseRepresentation
bin1001000001001100…
…0101001110100010
320020201101112122000
42100103011032202
514424223440000
61040120424430
7113664330306
oct22023051642
96221345560
102420921250
111032601a70
12576918116
132c77324a7
1418d747d06
15e280a000
hex904c53a2

2420921250 has 160 divisors (see below), whose sum is σ = 7334902080. Its totient is φ = 586800000.

The previous prime is 2420921231. The next prime is 2420921263. The reversal of 2420921250 is 521290242.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 367990 + ... + 374510.

It is an arithmetic number, because the mean of its divisors is an integer number (45843138).

Almost surely, 22420921250 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2420921250, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3667451040).

2420921250 is an abundant number, since it is smaller than the sum of its proper divisors (4913980830).

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

2420921250 is a wasteful number, since it uses less digits than its factorization.

2420921250 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6563 (or 6542 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 2420921250 is about 49202.8581486889. The cubic root of 2420921250 is about 1342.7450318949.

It can be divided in two parts, 242092 and 1250, that added together give a palindrome (243342).

The spelling of 2420921250 in words is "two billion, four hundred twenty million, nine hundred twenty-one thousand, two hundred fifty".

Divisors: 1 2 3 5 6 9 10 11 15 18 22 25 27 30 33 45 50 54 55 66 75 90 99 110 125 135 150 165 198 225 250 270 275 297 330 375 450 495 550 594 625 675 750 825 990 1125 1250 1350 1375 1485 1650 1875 2250 2475 2750 2970 3375 3750 4125 4950 5625 6521 6750 6875 7425 8250 11250 12375 13042 13750 14850 16875 19563 20625 24750 32605 33750 37125 39126 41250 58689 61875 65210 71731 74250 97815 117378 123750 143462 163025 176067 185625 195630 215193 293445 326050 352134 358655 371250 430386 489075 586890 645579 717310 815125 880335 978150 1075965 1291158 1467225 1630250 1760670 1793275 1936737 2151930 2445375 2934450 3227895 3586550 3873474 4075625 4401675 4890750 5379825 6455790 7336125 8151250 8803350 8966375 9683685 10759650 12226875 14672250 16139475 17932750 19367370 22008375 24453750 26899125 32278950 36680625 44016750 44831875 48418425 53798250 73361250 80697375 89663750 96836850 110041875 134495625 161394750 220083750 242092125 268991250 403486875 484184250 806973750 1210460625 2420921250