Search a number
-
+
69826140 = 2232517191201
BaseRepresentation
bin1000010100101…
…11011001011100
311212101112110100
410022113121130
5120333414030
610532341100
71505340516
oct412273134
9155345410
1069826140
113646245a
121b474790
131160a657
1493b8bb6
1561e4360
hex429765c

69826140 has 144 divisors (see below), whose sum is σ = 236265120. Its totient is φ = 16588800.

The previous prime is 69826111. The next prime is 69826153. The reversal of 69826140 is 4162896.

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

It is a junction number, because it is equal to n+sod(n) for n = 69826095 and 69826104.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 57540 + ... + 58740.

It is an arithmetic number, because the mean of its divisors is an integer number (1640730).

Almost surely, 269826140 is an apocalyptic number.

69826140 is a gapful number since it is divisible by the number (60) 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 69826140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118132560).

69826140 is an abundant number, since it is smaller than the sum of its proper divisors (166438980).

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

69826140 is a wasteful number, since it uses less digits than its factorization.

69826140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1252 (or 1247 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 69826140 is about 8356.2036834917. The cubic root of 69826140 is about 411.7870439342.

The spelling of 69826140 in words is "sixty-nine million, eight hundred twenty-six thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 17 18 19 20 30 34 36 38 45 51 57 60 68 76 85 90 95 102 114 153 170 171 180 190 204 228 255 285 306 323 340 342 380 510 570 612 646 684 765 855 969 1020 1140 1201 1292 1530 1615 1710 1938 2402 2907 3060 3230 3420 3603 3876 4804 4845 5814 6005 6460 7206 9690 10809 11628 12010 14412 14535 18015 19380 20417 21618 22819 24020 29070 36030 40834 43236 45638 54045 58140 61251 68457 72060 81668 91276 102085 108090 114095 122502 136914 183753 204170 205371 216180 228190 245004 273828 306255 342285 367506 387923 408340 410742 456380 612510 684570 735012 775846 821484 918765 1026855 1163769 1225020 1369140 1551692 1837530 1939615 2053710 2327538 3491307 3675060 3879230 4107420 4655076 5818845 6982614 7758460 11637690 13965228 17456535 23275380 34913070 69826140