Search a number
-
+
67402720 = 2557115471
BaseRepresentation
bin1000000010001…
…11101111100000
311200211102011001
410001013233200
5114223341340
610404401344
71445625250
oct401075740
9150742131
1067402720
1135057730
121a6a6254
1310c6c588
148d47960
155db629a
hex4047be0

67402720 has 96 divisors (see below), whose sum is σ = 198567936. Its totient is φ = 21004800.

The previous prime is 67402717. The next prime is 67402733. The reversal of 67402720 is 2720476.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9585 + ... + 15055.

It is an arithmetic number, because the mean of its divisors is an integer number (2068416).

Almost surely, 267402720 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 67402720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99283968).

67402720 is an abundant number, since it is smaller than the sum of its proper divisors (131165216).

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

67402720 is a wasteful number, since it uses less digits than its factorization.

67402720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5504 (or 5496 counting only the distinct ones).

The product of its (nonzero) digits is 4704, while the sum is 28.

The square root of 67402720 is about 8209.9159557209. The cubic root of 67402720 is about 406.9669495264.

The spelling of 67402720 in words is "sixty-seven million, four hundred two thousand, seven hundred twenty".

Divisors: 1 2 4 5 7 8 10 11 14 16 20 22 28 32 35 40 44 55 56 70 77 80 88 110 112 140 154 160 176 220 224 280 308 352 385 440 560 616 770 880 1120 1232 1540 1760 2464 3080 5471 6160 10942 12320 21884 27355 38297 43768 54710 60181 76594 87536 109420 120362 153188 175072 191485 218840 240724 300905 306376 382970 421267 437680 481448 601810 612752 765940 842534 875360 962896 1203620 1225504 1531880 1685068 1925792 2106335 2407240 3063760 3370136 4212670 4814480 6127520 6740272 8425340 9628960 13480544 16850680 33701360 67402720