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158404064 = 25721319409
BaseRepresentation
bin10010111000100…
…00110111100000
3102001001202112012
421130100313200
5311022412224
623415052052
73632261300
oct1134206740
9361052465
10158404064
1181462355
1245071028
1326a82220
1417075600
15dd8e80e
hex9710de0

158404064 has 144 divisors (see below), whose sum is σ = 412246800. Its totient is φ = 59222016.

The previous prime is 158404063. The next prime is 158404133. The reversal of 158404064 is 460404851.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a self number, because there is not a number n which added to its sum of digits gives 158404064.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (158404063) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 387092 + ... + 387500.

It is an arithmetic number, because the mean of its divisors is an integer number (2862825).

Almost surely, 2158404064 is an apocalyptic number.

158404064 is a gapful number since it is divisible by the number (14) 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 158404064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (206123400).

158404064 is an abundant number, since it is smaller than the sum of its proper divisors (253842736).

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

158404064 is a wasteful number, since it uses less digits than its factorization.

158404064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 465 (or 450 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 32.

The square root of 158404064 is about 12585.8676300047. The cubic root of 158404064 is about 541.0724730737.

The spelling of 158404064 in words is "one hundred fifty-eight million, four hundred four thousand, sixty-four".

Divisors: 1 2 4 7 8 13 14 16 19 26 28 32 38 49 52 56 76 91 98 104 112 133 152 182 196 208 224 247 266 304 364 392 409 416 494 532 608 637 728 784 818 931 988 1064 1274 1456 1568 1636 1729 1862 1976 2128 2548 2863 2912 3272 3458 3724 3952 4256 5096 5317 5726 6544 6916 7448 7771 7904 10192 10634 11452 12103 13088 13832 14896 15542 20041 20384 21268 22904 24206 27664 29792 31084 37219 40082 42536 45808 48412 54397 55328 62168 74438 80164 85072 91616 96824 101023 108794 124336 148876 160328 170144 193648 202046 217588 248672 260533 297752 320656 380779 387296 404092 435176 521066 595504 641312 707161 761558 808184 870352 1042132 1191008 1414322 1523116 1616368 1740704 2084264 2828644 3046232 3232736 4168528 4950127 5657288 6092464 8337056 9900254 11314576 12184928 19800508 22629152 39601016 79202032 158404064