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68152200 = 23352971171
BaseRepresentation
bin1000000111111…
…10101110001000
311202020111020120
410003332232020
5114421332300
610432423240
71455166314
oct403765610
9152214216
1068152200
1135519836
121a9a7b20
131117275c
1490a0b44
155eb33a0
hex40feb88

68152200 has 96 divisors (see below), whose sum is σ = 213632160. Its totient is φ = 17971200.

The previous prime is 68152177. The next prime is 68152219. The reversal of 68152200 is 225186.

It is a Harshad number since it is a multiple of its sum of digits (24).

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 23 ways as a sum of consecutive naturals, for example, 57615 + ... + 58785.

It is an arithmetic number, because the mean of its divisors is an integer number (2225335).

Almost surely, 268152200 is an apocalyptic number.

68152200 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 68152200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106816080).

68152200 is an abundant number, since it is smaller than the sum of its proper divisors (145479960).

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

68152200 is a wasteful number, since it uses less digits than its factorization.

68152200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1287 (or 1278 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 24.

The square root of 68152200 is about 8255.4345736612. The cubic root of 68152200 is about 408.4698067590.

Adding to 68152200 its reverse (225186), we get a palindrome (68377386).

The spelling of 68152200 in words is "sixty-eight million, one hundred fifty-two thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 97 100 120 150 194 200 291 300 388 485 582 600 776 970 1164 1171 1455 1940 2328 2342 2425 2910 3513 3880 4684 4850 5820 5855 7026 7275 9368 9700 11640 11710 14052 14550 17565 19400 23420 28104 29100 29275 35130 46840 58200 58550 70260 87825 113587 117100 140520 175650 227174 234200 340761 351300 454348 567935 681522 702600 908696 1135870 1363044 1703805 2271740 2726088 2839675 3407610 4543480 5679350 6815220 8519025 11358700 13630440 17038050 22717400 34076100 68152200