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76150140 = 223511217617
BaseRepresentation
bin1001000100111…
…11010101111100
312022021211100120
410202133111330
5123443301030
611320054540
71613160033
oct442372574
9168254316
1076150140
1139a91800
1221604450
1312a12c71
14a18371a
156a43010
hex489f57c

76150140 has 144 divisors (see below), whose sum is σ = 248554656. Its totient is φ = 17346560.

The previous prime is 76150121. The next prime is 76150183. The reversal of 76150140 is 4105167.

It is a self number, because there is not a number n which added to its sum of digits gives 76150140.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 123112 + ... + 123728.

It is an arithmetic number, because the mean of its divisors is an integer number (1726074).

Almost surely, 276150140 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 76150140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124277328).

76150140 is an abundant number, since it is smaller than the sum of its proper divisors (172404516).

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

76150140 is a wasteful number, since it uses less digits than its factorization.

76150140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 668 (or 655 counting only the distinct ones).

The product of its (nonzero) digits is 840, while the sum is 24.

The square root of 76150140 is about 8726.4047579745. The cubic root of 76150140 is about 423.8611076458.

The spelling of 76150140 in words is "seventy-six million, one hundred fifty thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 10 11 12 15 17 20 22 30 33 34 44 51 55 60 66 68 85 102 110 121 132 165 170 187 204 220 242 255 330 340 363 374 484 510 561 605 617 660 726 748 935 1020 1122 1210 1234 1452 1815 1851 1870 2057 2244 2420 2468 2805 3085 3630 3702 3740 4114 5610 6170 6171 6787 7260 7404 8228 9255 10285 10489 11220 12340 12342 13574 18510 20361 20570 20978 24684 27148 30855 31467 33935 37020 40722 41140 41956 52445 61710 62934 67870 74657 81444 101805 104890 115379 123420 125868 135740 149314 157335 203610 209780 223971 230758 298628 314670 346137 373285 407220 447942 461516 576895 629340 692274 746570 895884 1119855 1153790 1269169 1384548 1493140 1730685 2239710 2307580 2538338 3461370 3807507 4479420 5076676 6345845 6922740 7615014 12691690 15230028 19037535 25383380 38075070 76150140