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76300000120 = 235191132573457
BaseRepresentation
bin100011100001111010…
…1011001101101111000
321021221110220121100101
41013003311121231320
52222230300000440
655015101445144
75340533204641
oct1070365315570
9237843817311
1076300000120
112a3a43a7443
12129548707b4
13726c711286
14399b5d86c8
151eb875769a
hex11c3d59b78

76300000120 has 128 divisors (see below), whose sum is σ = 183072052800. Its totient is φ = 28538044416.

The previous prime is 76300000111. The next prime is 76300000157. The reversal of 76300000120 is 2100000367.

76300000120 is a nontrivial binomial coefficient, being equal to C(390641, 2).

It is a Harshad number since it is a multiple of its sum of digits (19).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 22069432 + ... + 22072888.

Almost surely, 276300000120 is an apocalyptic number.

76300000120 is the 390640-th triangular number.

76300000120 is the 130214-th centered nonagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 76300000120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91536026400).

76300000120 is an abundant number, since it is smaller than the sum of its proper divisors (106772052680).

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

76300000120 is a wasteful number, since it uses less digits than its factorization.

76300000120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3857 (or 3853 counting only the distinct ones).

The product of its (nonzero) digits is 252, while the sum is 19.

Adding to 76300000120 its reverse (2100000367), we get a palindrome (78400000487).

The spelling of 76300000120 in words is "seventy-six billion, three hundred million, one hundred twenty", and thus it is an aban number.

Divisors: 1 2 4 5 8 10 19 20 38 40 76 95 113 152 190 226 257 380 452 514 565 760 904 1028 1130 1285 2056 2147 2260 2570 3457 4294 4520 4883 5140 6914 8588 9766 10280 10735 13828 17176 17285 19532 21470 24415 27656 29041 34570 39064 42940 48830 58082 65683 69140 85880 97660 116164 131366 138280 145205 195320 232328 262732 290410 328415 390641 525464 551779 580820 656830 781282 888449 1103558 1161640 1313660 1562564 1776898 1953205 2207116 2627320 2758895 3125128 3553796 3906410 4414232 4442245 5517790 7107592 7422179 7812820 8884490 11035580 14844358 15625640 16880531 17768980 22071160 29688716 33761062 35537960 37110895 59377432 67522124 74221790 84402655 100394737 135044248 148443580 168805310 200789474 296887160 337610620 401578948 501973685 675221240 803157896 1003947370 1907500003 2007894740 3815000006 4015789480 7630000012 9537500015 15260000024 19075000030 38150000060 76300000120