Search a number
-
+
67448920 = 23571161359
BaseRepresentation
bin1000000010100…
…11000001011000
311200220202112011
410001103001120
5114231331140
610405355304
71446210040
oct401230130
9150822464
1067448920
1135089410
121a708b34
1310c87606
148d5a720
155dc4cea
hex4053058

67448920 has 128 divisors (see below), whose sum is σ = 192844800. Its totient is φ = 20620800.

The previous prime is 67448881. The next prime is 67448921. The reversal of 67448920 is 2984476.

It is a hoax number, since the sum of its digits (40) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (67448921) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 187701 + ... + 188059.

It is an arithmetic number, because the mean of its divisors is an integer number (1506600).

Almost surely, 267448920 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 67448920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96422400).

67448920 is an abundant number, since it is smaller than the sum of its proper divisors (125395880).

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

67448920 is a wasteful number, since it uses less digits than its factorization.

67448920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 449 (or 445 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 40.

The square root of 67448920 is about 8212.7291444440. The cubic root of 67448920 is about 407.0599110513.

It can be divided in two parts, 674 and 48920, that added together give a palindrome (49594).

The spelling of 67448920 in words is "sixty-seven million, four hundred forty-eight thousand, nine hundred twenty".

Divisors: 1 2 4 5 7 8 10 11 14 20 22 28 35 40 44 55 56 61 70 77 88 110 122 140 154 220 244 280 305 308 359 385 427 440 488 610 616 671 718 770 854 1220 1342 1436 1540 1708 1795 2135 2440 2513 2684 2872 3080 3355 3416 3590 3949 4270 4697 5026 5368 6710 7180 7898 8540 9394 10052 12565 13420 14360 15796 17080 18788 19745 20104 21899 23485 25130 26840 27643 31592 37576 39490 43798 46970 50260 55286 78980 87596 93940 100520 109495 110572 138215 153293 157960 175192 187880 218990 221144 240889 276430 306586 437980 481778 552860 613172 766465 875960 963556 1105720 1204445 1226344 1532930 1686223 1927112 2408890 3065860 3372446 4817780 6131720 6744892 8431115 9635560 13489784 16862230 33724460 67448920