Search a number
-
+
67401396 = 2235174079
BaseRepresentation
bin1000000010001…
…11011010110100
311200211100100000
410001013122310
5114223321041
610404351300
71445621346
oct401073264
9150740300
1067401396
1135056737
121a6a5530
1310c6baaa
148d47296
155db5bb6
hex40476b4

67401396 has 72 divisors (see below), whose sum is σ = 187125120. Its totient is φ = 21140352.

The previous prime is 67401331. The next prime is 67401419. The reversal of 67401396 is 69310476.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 67401396.

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 23 ways as a sum of consecutive naturals, for example, 14485 + ... + 18563.

It is an arithmetic number, because the mean of its divisors is an integer number (2598960).

Almost surely, 267401396 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 67401396, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93562560).

67401396 is an abundant number, since it is smaller than the sum of its proper divisors (119723724).

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

67401396 is a wasteful number, since it uses less digits than its factorization.

67401396 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4115 (or 4101 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 36.

The square root of 67401396 is about 8209.8353211255. The cubic root of 67401396 is about 406.9642848082.

The spelling of 67401396 in words is "sixty-seven million, four hundred one thousand, three hundred ninety-six".

Divisors: 1 2 3 4 6 9 12 17 18 27 34 36 51 54 68 81 102 108 153 162 204 243 306 324 459 486 612 918 972 1377 1836 2754 4079 4131 5508 8158 8262 12237 16316 16524 24474 36711 48948 69343 73422 110133 138686 146844 208029 220266 277372 330399 416058 440532 624087 660798 832116 991197 1248174 1321596 1872261 1982394 2496348 3744522 3964788 5616783 7489044 11233566 16850349 22467132 33700698 67401396