Search a number
-
+
69149360 = 2457196797
BaseRepresentation
bin1000001111100…
…10001010110000
311211010011002102
410013302022300
5120200234420
610510035532
71466521430
oct407621260
9154104072
1069149360
113603aa35
121b1a8ba8
13114315a7
1492802c0
15610da75
hex41f22b0

69149360 has 160 divisors (see below), whose sum is σ = 198320640. Its totient is φ = 21897216.

The previous prime is 69149317. The next prime is 69149363. The reversal of 69149360 is 6394196.

It is a Harshad number since it is a multiple of its sum of digits (38).

It is not an unprimeable number, because it can be changed into a prime (69149363) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 712832 + ... + 712928.

It is an arithmetic number, because the mean of its divisors is an integer number (1239504).

Almost surely, 269149360 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 69149360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99160320).

69149360 is an abundant number, since it is smaller than the sum of its proper divisors (129171280).

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

69149360 is a wasteful number, since it uses less digits than its factorization.

69149360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 203 (or 197 counting only the distinct ones).

The product of its (nonzero) digits is 34992, while the sum is 38.

The square root of 69149360 is about 8315.6094184371. The cubic root of 69149360 is about 410.4523264929.

The spelling of 69149360 in words is "sixty-nine million, one hundred forty-nine thousand, three hundred sixty".

Divisors: 1 2 4 5 7 8 10 14 16 19 20 28 35 38 40 56 67 70 76 80 95 97 112 133 134 140 152 190 194 266 268 280 304 335 380 388 469 485 532 536 560 665 670 679 760 776 938 970 1064 1072 1273 1330 1340 1358 1520 1552 1843 1876 1940 2128 2345 2546 2660 2680 2716 3395 3686 3752 3880 4690 5092 5320 5360 5432 6365 6499 6790 7372 7504 7760 8911 9215 9380 10184 10640 10864 12730 12901 12998 13580 14744 17822 18430 18760 20368 25460 25802 25996 27160 29488 32495 35644 36860 37520 44555 45493 50920 51604 51992 54320 64505 64990 71288 73720 89110 90986 101840 103208 103984 123481 129010 129980 142576 147440 178220 181972 206416 227465 246962 258020 259960 356440 363944 454930 493924 516040 519920 617405 712880 727888 864367 909860 987848 1032080 1234810 1728734 1819720 1975696 2469620 3457468 3639440 4321835 4939240 6914936 8643670 9878480 13829872 17287340 34574680 69149360