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1142674120 = 235721673491
BaseRepresentation
bin100010000011011…
…1101001011001000
32221122010212012201
41010012331023020
54320011032440
6305215245544
740213366300
oct10406751310
92848125181
101142674120
11537011a85
1227a8198b4
13152972743
14aba8a600
156a4b519a
hex441bd2c8

1142674120 has 96 divisors (see below), whose sum is σ = 3009545280. Its totient is φ = 389316480.

The previous prime is 1142674111. The next prime is 1142674121. The reversal of 1142674120 is 214762411.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is not an unprimeable number, because it can be changed into a prime (1142674121) by changing a digit.

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, 325575 + ... + 329065.

It is an arithmetic number, because the mean of its divisors is an integer number (31349430).

Almost surely, 21142674120 is an apocalyptic number.

1142674120 is a gapful number since it is divisible by the number (10) 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 1142674120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1504772640).

1142674120 is an abundant number, since it is smaller than the sum of its proper divisors (1866871160).

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

1142674120 is a wasteful number, since it uses less digits than its factorization.

1142674120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3683 (or 3672 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 28.

The square root of 1142674120 is about 33803.4631361936. The cubic root of 1142674120 is about 1045.4601027877.

The spelling of 1142674120 in words is "one billion, one hundred forty-two million, six hundred seventy-four thousand, one hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 49 56 70 98 140 167 196 245 280 334 392 490 668 835 980 1169 1336 1670 1960 2338 3340 3491 4676 5845 6680 6982 8183 9352 11690 13964 16366 17455 23380 24437 27928 32732 34910 40915 46760 48874 65464 69820 81830 97748 122185 139640 163660 171059 195496 244370 327320 342118 488740 582997 684236 855295 977480 1165994 1368472 1710590 2331988 2914985 3421180 4080979 4663976 5829970 6842360 8161958 11659940 16323916 20404895 23319880 28566853 32647832 40809790 57133706 81619580 114267412 142834265 163239160 228534824 285668530 571337060 1142674120