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68274120 = 23352329853
BaseRepresentation
bin1000001000111…
…00011111001000
311202110200111010
410010130133020
5114434232440
610435203520
71456214625
oct404343710
9152420433
1068274120
11355a23a2
121aa465a0
13111b60b5
1490d334c
155ed9580
hex411c7c8

68274120 has 128 divisors (see below), whose sum is σ = 221356800. Its totient is φ = 16794624.

The previous prime is 68274103. The next prime is 68274131. The reversal of 68274120 is 2147286.

It is a super-2 number, since 2×682741202 = 9322710923548800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

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, 79614 + ... + 80466.

It is an arithmetic number, because the mean of its divisors is an integer number (1729350).

Almost surely, 268274120 is an apocalyptic number.

68274120 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 68274120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110678400).

68274120 is an abundant number, since it is smaller than the sum of its proper divisors (153082680).

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

68274120 is a wasteful number, since it uses less digits than its factorization.

68274120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 919 (or 915 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 30.

The square root of 68274120 is about 8262.8155007842. The cubic root of 68274120 is about 408.7132372552.

The spelling of 68274120 in words is "sixty-eight million, two hundred seventy-four thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 23 24 29 30 40 46 58 60 69 87 92 115 116 120 138 145 174 184 230 232 276 290 345 348 435 460 552 580 667 690 696 853 870 920 1160 1334 1380 1706 1740 2001 2559 2668 2760 3335 3412 3480 4002 4265 5118 5336 6670 6824 8004 8530 10005 10236 12795 13340 16008 17060 19619 20010 20472 24737 25590 26680 34120 39238 40020 49474 51180 58857 74211 78476 80040 98095 98948 102360 117714 123685 148422 156952 196190 197896 235428 247370 294285 296844 371055 392380 470856 494740 568951 588570 593688 742110 784760 989480 1137902 1177140 1484220 1706853 2275804 2354280 2844755 2968440 3413706 4551608 5689510 6827412 8534265 11379020 13654824 17068530 22758040 34137060 68274120