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1367681004 = 2233179263269
BaseRepresentation
bin101000110000101…
…0010011111101100
310112022112101122000
41101201102133230
510300111243004
6343414052300
745615045114
oct12141223754
93468471560
101367681004
11642024a88
1232204a090
1318a474101
14cd8dc044
158010dc39
hex518527ec

1367681004 has 96 divisors (see below), whose sum is σ = 3592512000. Its totient is φ = 449944128.

The previous prime is 1367680997. The next prime is 1367681041. The reversal of 1367681004 is 4001867631.

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 1367681004.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5084182 + ... + 5084450.

It is an arithmetic number, because the mean of its divisors is an integer number (37422000).

Almost surely, 21367681004 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 1367681004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1796256000).

1367681004 is an abundant number, since it is smaller than the sum of its proper divisors (2224830996).

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

1367681004 is a wasteful number, since it uses less digits than its factorization.

1367681004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 724 (or 716 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 1367681004 is about 36982.1714343547. The cubic root of 1367681004 is about 1110.0135279578.

The spelling of 1367681004 in words is "one billion, three hundred sixty-seven million, six hundred eighty-one thousand, four".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 108 179 263 269 358 526 537 538 716 789 807 1052 1074 1076 1578 1611 1614 2148 2367 2421 3156 3222 3228 4734 4833 4842 6444 7101 7263 9468 9666 9684 14202 14526 19332 28404 29052 47077 48151 70747 94154 96302 141231 141494 144453 188308 192604 212241 282462 282988 288906 423693 424482 433359 564924 577812 636723 847386 848964 866718 1271079 1273446 1300077 1694772 1733436 1910169 2542158 2546892 2600154 3820338 5084316 5200308 7640676 12663713 25327426 37991139 50654852 75982278 113973417 151964556 227946834 341920251 455893668 683840502 1367681004