Search a number
-
+
298972620 = 22355227271
BaseRepresentation
bin10001110100011…
…111010111001100
3202211120101100000
4101310133113030
51103014110440
645400004300
710260140202
oct2164372714
9684511300
10298972620
11143842611
1284160690
1349c2b29b
142b9c7072
151b3a9730
hex11d1f5cc

298972620 has 144 divisors (see below), whose sum is σ = 948100608. Its totient is φ = 79081920.

The previous prime is 298972613. The next prime is 298972621. The reversal of 298972620 is 26279892.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

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

It is not an unprimeable number, because it can be changed into a prime (298972621) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1103085 + ... + 1103355.

It is an arithmetic number, because the mean of its divisors is an integer number (6584032).

Almost surely, 2298972620 is an apocalyptic number.

298972620 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 298972620, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (474050304).

298972620 is an abundant number, since it is smaller than the sum of its proper divisors (649127988).

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

298972620 is a wasteful number, since it uses less digits than its factorization.

298972620 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 522 (or 508 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

The square root of 298972620 is about 17290.8247345232. The cubic root of 298972620 is about 668.6678960548.

The spelling of 298972620 in words is "two hundred ninety-eight million, nine hundred seventy-two thousand, six hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 81 90 108 135 162 180 227 243 270 271 324 405 454 486 540 542 681 810 813 908 972 1084 1135 1215 1355 1362 1620 1626 2043 2270 2430 2439 2710 2724 3252 3405 4065 4086 4540 4860 4878 5420 6129 6810 7317 8130 8172 9756 10215 12195 12258 13620 14634 16260 18387 20430 21951 24390 24516 29268 30645 36585 36774 40860 43902 48780 55161 61290 61517 65853 73170 73548 87804 91935 109755 110322 122580 123034 131706 146340 183870 184551 219510 220644 246068 263412 275805 307585 329265 367740 369102 439020 551610 553653 615170 658530 738204 922755 1103220 1107306 1230340 1317060 1660959 1845510 2214612 2768265 3321918 3691020 4982877 5536530 6643836 8304795 9965754 11073060 14948631 16609590 19931508 24914385 29897262 33219180 49828770 59794524 74743155 99657540 149486310 298972620